{"id":76,"date":"2023-08-05T17:37:55","date_gmt":"2023-08-05T17:37:55","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%b8%e0%a4%b9%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%b8%e0%a4%b0%e0%a4%a3\/"},"modified":"2023-08-05T17:37:55","modified_gmt":"2023-08-05T17:37:55","slug":"%e0%a4%b8%e0%a4%b9%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%b8%e0%a4%b0%e0%a4%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%b8%e0%a4%b9%e0%a4%aa%e0%a5%8d%e0%a4%b0%e0%a4%b8%e0%a4%b0%e0%a4%a3\/","title":{"rendered":"\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923"},"content":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0906\u092a\u0915\u094b \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0938\u0942\u0924\u094d\u0930 \u0915\u0947 \u0938\u093e\u0925-\u0938\u093e\u0925 \u0921\u0947\u091f\u093e \u0938\u0947\u091f \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u092d\u0940 \u092e\u093f\u0932\u0947\u0917\u093e\u0964 \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u0906\u092a \u0905\u0902\u0924 \u092e\u0947\u0902 \u0911\u0928\u0932\u093e\u0907\u0928 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0921\u0947\u091f\u093e \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-covarianza\"><\/span> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0906\u0902\u0915\u0921\u093c\u094b\u0902 \u092e\u0947\u0902, <strong>\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923<\/strong> \u090f\u0915 \u0910\u0938\u093e \u092e\u093e\u0928 \u0939\u0948 \u091c\u094b \u0926\u094b \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930\u094b\u0902 \u0915\u0940 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u092d\u093f\u0928\u094d\u0928\u0924\u093e \u0915\u0940 \u0921\u093f\u0917\u094d\u0930\u0940 \u0915\u094b \u0907\u0902\u0917\u093f\u0924 \u0915\u0930\u0924\u093e \u0939\u0948\u0964 \u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902, \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n<p> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0926\u094b \u091a\u0930 \u0915\u0947 \u0921\u0947\u091f\u093e \u0914\u0930 \u0909\u0928\u0915\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0938\u093e\u0927\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0905\u0902\u0924\u0930 \u0915\u0947 \u0909\u0924\u094d\u092a\u093e\u0926\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u094b \u0921\u0947\u091f\u093e \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964 <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/covariance.png\" alt=\"\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923\" class=\"wp-image-1610\" width=\"301\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">\u0906\u092a \u0915\u093f\u0938\u0940 \u092d\u0940 \u0921\u0947\u091f\u093e \u0938\u0947\u091f \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u0917\u090f \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/u><\/p>\n<p> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u092e\u093e\u0928 \u0915\u0940 \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u092c\u0939\u0941\u0924 \u0938\u0930\u0932 \u0939\u0948:<\/p>\n<ul>\n<li> \u092f\u0926\u093f <strong>\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 \u0939\u0948<\/strong> , \u0924\u094b \u0907\u0938\u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u0915\u093f \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f, \u091c\u092c \u090f\u0915 \u091a\u0930 \u0915\u093e \u092e\u0942\u0932\u094d\u092f \u092c\u0922\u093c\u0924\u093e \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u0947 \u091a\u0930 \u0915\u093e \u092e\u0942\u0932\u094d\u092f \u092d\u0940 \u092c\u0922\u093c\u0924\u093e \u0939\u0948, \u0914\u0930 \u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924\u0964<\/li>\n<li> \u092f\u0926\u093f <strong>\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948<\/strong> , \u0924\u094b \u0907\u0938\u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u0915\u093f \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0902\u092c\u0902\u0927 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u0948\u0964 \u0907\u0938\u0932\u093f\u090f, \u091c\u092c \u090f\u0915 \u091a\u0930 \u0915\u093e \u092e\u0942\u0932\u094d\u092f \u092c\u0922\u093c\u0924\u093e \u0939\u0948, \u0924\u094b \u0926\u0942\u0938\u0930\u0947 \u091a\u0930 \u0915\u093e \u092e\u0942\u0932\u094d\u092f \u0918\u091f \u091c\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0907\u0938\u0915\u0947 \u0935\u093f\u092a\u0930\u0940\u0924\u0964<\/li>\n<li> \u092f\u0926\u093f <strong>\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0936\u0942\u0928\u094d\u092f \u0939\u0948<\/strong> (\u092f\u093e \u0907\u0938\u0915\u093e \u092e\u093e\u0928 \u0936\u0942\u0928\u094d\u092f \u0915\u0947 \u0915\u0930\u0940\u092c \u0939\u0948), \u0924\u094b \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0915\u093f \u0926\u094b\u0928\u094b\u0902 \u091a\u0930 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0908 \u0938\u0902\u092c\u0902\u0927 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964 \u0926\u0942\u0938\u0930\u0947 \u0936\u092c\u094d\u0926\u094b\u0902 \u092e\u0947\u0902, \u0926\u094b \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0939\u0948\u0902\u0964 <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-covarianza\"><\/span> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0921\u0947\u091f\u093e \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u091a\u0930\u0923\u094b\u0902 \u0915\u093e \u092a\u093e\u0932\u0928 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091a\u0930 \u0915\u0947 \u0914\u0938\u0924 \u0915\u0940 \u0905\u0932\u0917 \u0938\u0947 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091a\u0930 \u0915\u0947 \u0932\u093f\u090f, \u0909\u0938\u0915\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u093e\u0928 \u0914\u0930 \u091a\u0930 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f \u0915\u0947 \u092c\u0940\u091a \u0905\u0902\u0924\u0930 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0921\u0947\u091f\u093e \u092c\u093f\u0902\u0926\u0941 \u0915\u0947 \u0932\u093f\u090f \u092a\u093f\u091b\u0932\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u0917\u0923\u0928\u093e \u0915\u093f\u090f \u0917\u090f \u0905\u0902\u0924\u0930\u094b\u0902 \u0915\u094b \u0917\u0941\u0923\u093e \u0915\u0930\u0947\u0902\u0964<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u092a\u093f\u091b\u0932\u0947 \u091a\u0930\u0923 \u092e\u0947\u0902 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0938\u092d\u0940 \u092a\u0930\u093f\u0923\u093e\u092e\u094b\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u0947\u0902\u0964<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u0921\u0947\u091f\u093e \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0947\u0902. \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u092e\u0942\u0932\u094d\u092f \u0921\u0947\u091f\u093e \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u093e \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0939\u0948\u0964<\/span><\/li>\n<\/ol>\n<p> \u0938\u0902\u0915\u094d\u0937\u0947\u092a \u092e\u0947\u0902, \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6e8484a2dfa35044eae76362ca631df2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"70\" width=\"257\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0905\u0924\u094d\u092f\u0927\u093f\u0915 \u0905\u0928\u0941\u0936\u0902\u0938\u093f\u0924 \u0935\u093f\u0927\u093f \u0938\u092d\u0940 \u0921\u0947\u091f\u093e \u091c\u094b\u0921\u093c\u0947 \u0915\u0947 \u0938\u093e\u0925 \u090f\u0915 \u0924\u093e\u0932\u093f\u0915\u093e \u092c\u0928\u093e\u0928\u093e \u0914\u0930 \u090a\u092a\u0930 \u092c\u0924\u093e\u090f \u0917\u090f \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091a\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0915\u0949\u0932\u092e \u091c\u094b\u0921\u093c\u0928\u093e \u0939\u0948\u0964 \u0907\u0938 \u0924\u0930\u0939 \u0906\u092a\u0915\u0940 \u0917\u0923\u0928\u093e\u090f\u0901 \u092c\u0947\u0939\u0924\u0930 \u0922\u0902\u0917 \u0938\u0947 \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0939\u094b\u0902\u0917\u0940 \u0914\u0930 \u0906\u092a \u092c\u0947\u0939\u0924\u0930 \u0922\u0902\u0917 \u0938\u0947 \u0938\u092e\u091d \u092a\u093e\u090f\u0902\u0917\u0947 \u0915\u093f \u0906\u092a \u0915\u094d\u092f\u093e \u0915\u0930 \u0930\u0939\u0947 \u0939\u0948\u0902\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-de-la-covarianza\"><\/span> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0917\u0923\u0928\u093e \u0915\u093e \u0909\u0926\u093e\u0939\u0930\u0923<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e \u092a\u0930 \u0935\u093f\u091a\u093e\u0930 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f, \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0947 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u092e\u093e\u092a \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u093e \u091a\u0930\u0923-\u0926\u0930-\u091a\u0930\u0923 \u0909\u0926\u093e\u0939\u0930\u0923 \u0928\u0940\u091a\u0947 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0909\u0926\u094d\u0926\u0947\u0936\u094d\u092f \u092f\u0939 \u0939\u0948 \u0915\u093f \u0906\u092a \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e \u0915\u094b \u092c\u0947\u0939\u0924\u0930 \u0922\u0902\u0917 \u0938\u0947 \u0938\u092e\u091d\u0947\u0902 \u0914\u0930 \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u0938\u0902\u092c\u0902\u0927 \u0915\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923 \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902\u0964<\/p>\n<ul>\n<li> \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0921\u0947\u091f\u093e \u0938\u0947\u091f \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902: <\/li>\n<\/ul>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exemple-donnees-variables-aleatoires.png\" alt=\"\" class=\"wp-image-1612\" width=\"116\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u0947, \u0939\u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091a\u0930 \u0915\u0947 \u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u092e\u093e\u0927\u094d\u092f \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0948\u0964 \u0910\u0938\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0939\u092e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u091a\u0930 \u0915\u0947 \u092e\u093e\u0928\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u094b \u0921\u0947\u091f\u093e \u0915\u0940 \u0915\u0941\u0932 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-4cbd143f38881aba1c648a4d6f306adf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{x}=\\cfrac{58}{10}=5,8\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"103\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a19af98b2edc689420b116d93fffbe6c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\overline{y}=\\cfrac{51}{10}=5,1\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0926\u0947\u0916\u0947\u0902:<\/strong> <a href=\"https:\/\/statorials.org\/hi\/\u0905\u0902\u0915\u0917\u0923\u093f\u0924-\u0914\u0938\u0924\/\">\u0905\u0902\u0915\u0917\u0923\u093f\u0924\u0940\u092f \u0938\u0942\u0924\u094d\u0930 \u092e\u093e\u0927\u094d\u092f<\/a><\/div>\n<p> \u090f\u0915 \u092c\u093e\u0930 \u091c\u092c \u0939\u092e \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u0915\u093e \u092e\u093e\u0927\u094d\u092f \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930 \u0932\u0947\u0924\u0947 \u0939\u0948\u0902, \u0924\u094b \u0939\u092e \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0921\u0947\u091f\u093e \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0949\u0932\u092e \u091c\u094b\u0921\u093c \u0938\u0915\u0924\u0947 \u0939\u0948\u0902: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/exercice-de-covariance-resolu.png\" alt=\"\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0905\u092d\u094d\u092f\u093e\u0938 \u0939\u0932 \u0939\u094b \u0917\u092f\u093e\" class=\"wp-image-1614\" width=\"376\" height=\"287\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0907\u0938\u0932\u093f\u090f \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u092a\u0915\u094b \u0905\u0902\u0924\u093f\u092e \u0915\u0949\u0932\u092e \u0915\u0947 \u092f\u094b\u0917 \u0915\u094b \u0921\u0947\u091f\u093e \u091c\u094b\u0921\u093c\u0947 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0938\u0947 \u0935\u093f\u092d\u093e\u091c\u093f\u0924 \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-49b4992f8443e4d94e38dfa56da38a9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}Cov(X,Y)&amp;=\\cfrac{\\displaystyle \\sum_{i=1}^n (x_i-\\overline{x})(y_i-\\overline{y})}{n}\\\\[2ex] Cov(X,Y)&amp;= \\cfrac{41,2}{10} \\\\[2ex]Cov(X,Y)&amp;= 4,12\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"175\" width=\"257\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> \u0907\u0938 \u092e\u093e\u092e\u0932\u0947 \u092e\u0947\u0902 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u092e\u093e\u0928 \u0938\u0915\u093e\u0930\u093e\u0924\u094d\u092e\u0915 \u0939\u0948, \u091c\u093f\u0938\u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u0915\u093f \u0905\u0927\u094d\u092f\u092f\u0928 \u0915\u093f\u090f \u0917\u090f \u0926\u094b \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u0915\u0947 \u092c\u0940\u091a \u0938\u0940\u0927\u093e \u0938\u0902\u092c\u0902\u0927 \u0939\u0948\u0964 \u0939\u093e\u0932\u093e\u0901\u0915\u093f, \u092f\u0926\u093f \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u092e\u093e\u0928 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0939\u094b\u0924\u093e, \u0924\u094b \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u092f\u0939 \u0939\u094b\u0924\u093e \u0915\u093f \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0928\u093f\u0930\u094d\u092d\u0930\u0924\u093e \u0935\u094d\u092f\u0941\u0924\u094d\u0915\u094d\u0930\u092e \u0939\u0948\u0964 \u0914\u0930 \u0905\u0902\u0924 \u092e\u0947\u0902, \u092f\u0926\u093f \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u092e\u093e\u0928 \u0936\u0942\u0928\u094d\u092f \u092f\u093e \u0936\u0942\u0928\u094d\u092f \u0915\u0947 \u092c\u0939\u0941\u0924 \u0915\u0930\u0940\u092c \u0939\u0948, \u0924\u094b \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0915\u093f \u0926\u094b \u091a\u0930 \u0915\u0947 \u092c\u0940\u091a \u0915\u094b\u0908 \u0930\u0948\u0916\u093f\u0915 \u0938\u0902\u092c\u0902\u0927 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/p>\n<p> \u091c\u0948\u0938\u093e \u0915\u093f \u0906\u092a \u0907\u0938 \u0909\u0926\u093e\u0939\u0930\u0923 \u0915\u094b \u0939\u0932 \u0915\u0930\u0915\u0947 \u0926\u0947\u0916 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902, \u0924\u093e\u0932\u093f\u0915\u093e \u092e\u0947\u0902 \u0915\u0949\u0932\u092e \u091c\u094b\u0921\u093c\u0928\u0947 \u0914\u0930 \u0917\u0923\u0928\u093e\u0913\u0902 \u0915\u094b \u0936\u0940\u0918\u094d\u0930\u0924\u093e \u0938\u0947 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u090f\u0915\u094d\u0938\u0947\u0932 \u091c\u0948\u0938\u0947 \u0915\u0902\u092a\u094d\u092f\u0942\u091f\u0930 \u092a\u094d\u0930\u094b\u0917\u094d\u0930\u093e\u092e \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0928\u093e \u092c\u0939\u0941\u0924 \u0909\u092a\u092f\u094b\u0917\u0940 \u0939\u0948\u0964 \u0905\u0928\u094d\u092f\u0925\u093e, \u092a\u0930\u093f\u091a\u093e\u0932\u0928\u094b\u0902 \u0915\u0940 \u092e\u0948\u0928\u094d\u092f\u0941\u0905\u0932 \u0930\u0942\u092a \u0938\u0947 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u092a\u0930, \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0905\u0927\u093f\u0915 \u0938\u092e\u092f \u0932\u0917\u0924\u093e \u0939\u0948\u0964 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-de-la-covarianza\"><\/span> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0948\u0932\u0915\u094d\u092f\u0942\u0932\u0947\u091f\u0930<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0926\u094b \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u092e\u0947\u0902 \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940\u092f \u0921\u0947\u091f\u093e \u0915\u093e \u090f\u0915 \u0938\u0947\u091f \u0926\u0930\u094d\u091c \u0915\u0930\u0947\u0902\u0964 \u0906\u092a\u0915\u094b \u0921\u0947\u091f\u093e \u091c\u094b\u0921\u093c\u0947 \u0915\u094b \u0905\u0932\u0917 \u0915\u0930\u0928\u0947 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u0948, \u0924\u093e\u0915\u093f \u092a\u0939\u0932\u0947 \u092c\u0949\u0915\u094d\u0938 \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u090f\u0915 \u0935\u0947\u0930\u093f\u090f\u092c\u0932 \u0915\u0947 \u092e\u093e\u0928 \u0939\u094b\u0902 \u0914\u0930 \u0926\u0942\u0938\u0930\u0947 \u092c\u0949\u0915\u094d\u0938 \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u0926\u0942\u0938\u0930\u0947 \u0935\u0947\u0930\u093f\u090f\u092c\u0932 \u0915\u0947 \u092e\u093e\u0928 \u0939\u094b\u0902\u0964<\/p>\n<p> \u0921\u0947\u091f\u093e \u0915\u094b \u090f\u0915 \u0938\u094d\u0925\u093e\u0928 \u0938\u0947 \u0905\u0932\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f \u0914\u0930 \u0926\u0936\u092e\u0932\u0935 \u0935\u093f\u092d\u093e\u091c\u0915 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0905\u0935\u0927\u093f \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0926\u0930\u094d\u091c \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u091a\u093e\u0939\u093f\u090f\u0964<\/p>\n<form action=\"\" method=\"post\">\n<ul>\n<li> \u0905\u0928\u093f\u092f\u092e\u093f\u0924 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u0928\u0936\u0940\u0932 \u0935\u0938\u094d\u0924\u0941 <\/li>\n<\/ul>\n<p><textarea name=\"datosX\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"1 4 8 5 7.2 9 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos de la primera variable aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<ul style=\"margin-top:25px\">\n<li> \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 Y: <\/li>\n<\/ul>\n<p><textarea name=\"datosY\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"2 5 7 3 2 1 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos de la segunda variable aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902\"><\/div>\n<\/form>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-covarianza\"><\/span> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0917\u0941\u0923<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0917\u0941\u0923 \u0939\u0948\u0902:<\/p>\n<ul>\n<li> \u090f\u0915 \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930 \u0914\u0930 \u090f\u0915 \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0936\u0942\u0928\u094d\u092f \u0939\u0948\u0964<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3521edd5d0781593491d07e147d9274e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,a)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"111\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0915\u093f\u0938\u0940 \u091a\u0930 \u0914\u0930 \u0938\u094d\u0935\u092f\u0902 \u0915\u093e \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0909\u0938 \u091a\u0930 \u0915\u0947 \u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b96c9e198a0904a56206dedad0e7608c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,X)=Var(X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>\u0926\u0947\u0916\u0947\u0902:<\/strong> <a href=\"https:\/\/statorials.org\/hi\/\u091d\u0917\u0921\u093c\u093e\/\">\u0935\u093f\u091a\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948?<\/a><\/div>\n<ul>\n<li> \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0938\u092e\u0930\u0942\u092a\u0924\u093e \u0917\u0941\u0923 \u0915\u094b \u0938\u0902\u0924\u0941\u0937\u094d\u091f \u0915\u0930\u0924\u093e \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u091a\u0930 X \u0914\u0930 Y \u0915\u093e \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u091a\u0930 Y \u0914\u0930 X \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964 \u091a\u0930 \u0915\u093e \u0915\u094d\u0930\u092e \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0947 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0928\u0939\u0940\u0902 \u0915\u0930\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0d384166725954287d0065f3a145c61a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)=Cov(Y,X)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"186\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u092f\u0926\u093f \u091a\u0930 \u0915\u094b \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0906\u092a \u092a\u0939\u0932\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902 \u0914\u0930 \u092b\u093f\u0930 \u092a\u0930\u093f\u0923\u093e\u092e \u0915\u094b \u0938\u094d\u0925\u093f\u0930\u093e\u0902\u0915 \u0938\u0947 \u0917\u0941\u0923\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2ea811783444fab37858b563c94c0ce7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(a\\cdot X,b\\cdot Y)=a\\cdot b\\cdot Cov(X,Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"273\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u091a\u0930\u094b\u0902 \u092e\u0947\u0902 \u092a\u0926 \u091c\u094b\u0921\u093c\u0928\u0947 \u0938\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u092a\u0930\u093f\u0923\u093e\u092e \u092a\u094d\u0930\u092d\u093e\u0935\u093f\u0924 \u0928\u0939\u0940\u0902 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2fa1b5d5152dd55933384887aea08396_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(a+X,b+Y)=Cov(X+Y)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"263\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u0926\u094b \u092f\u093e\u0926\u0943\u091a\u094d\u091b\u093f\u0915 \u091a\u0930\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0909\u0928\u0915\u0940 \u0917\u0923\u093f\u0924\u0940\u092f \u0905\u092a\u0947\u0915\u094d\u0937\u093e\u0913\u0902 \u0938\u0947 \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u0939\u0948\u0964 \u091a\u0930<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5cdc964b9ce9f0c87cf3fd8fc5eb84fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Cov(X,Y)=E[X\\cdot Y]-E[X]\\cdot E[Y]\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"284\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> \u091a\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0938\u0902\u091a\u093e\u0932\u0928 \u0915\u0930\u0924\u0947 \u0938\u092e\u092f, \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0947 \u0938\u0902\u092c\u0902\u0927 \u092e\u0947\u0902 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0905\u092d\u093f\u0935\u094d\u092f\u0915\u094d\u0924\u093f \u092d\u0930\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5d429b5bb4e4796cc5b8c73ed0845fa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}\\displaystyle Cov(aX+bY,cW+dV)= \\ &amp; \\displaystyle acCov(X,W)+adCov(X,V)+\\\\[2ex]&amp; +bcCov(Y,W)+bdCov(Y,V)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"61\" width=\"457\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u092f\u0939 \u0906\u0932\u0947\u0916 \u092c\u0924\u093e\u0924\u093e \u0939\u0948 \u0915\u093f \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u0906\u092a\u0915\u094b \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0938\u0942\u0924\u094d\u0930 \u0915\u0947 \u0938\u093e\u0925-\u0938\u093e\u0925 \u0921\u0947\u091f\u093e \u0938\u0947\u091f \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u093e \u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u092d\u0940 \u092e\u093f\u0932\u0947\u0917\u093e\u0964 \u0907\u0938\u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924, \u0906\u092a \u0905\u0902\u0924 \u092e\u0947\u0902 \u0911\u0928\u0932\u093e\u0907\u0928 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0915\u0947 \u0938\u093e\u0925 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0921\u0947\u091f\u093e \u0936\u094d\u0930\u0943\u0902\u0916\u0932\u093e \u0915\u0947 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902\u0964 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u094d\u092f\u093e \u0939\u0948? \u0906\u0902\u0915\u0921\u093c\u094b\u0902 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"class_list":["post-76","post","type-post","status-publish","format-standard","hentry","category-6"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923: \u0938\u0942\u0924\u094d\u0930, \u0909\u0926\u093e\u0939\u0930\u0923, \u0917\u0941\u0923, \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930,...<\/title>\n<meta name=\"description\" content=\"\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u092a\u0930\u093f\u092d\u093e\u0937\u093e - \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0948\u0938\u0947 \u0915\u0930\u0947\u0902 (\u0938\u0942\u0924\u094d\u0930) - \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 - \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 - \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923 \u0915\u0947 \u0917\u0941\u0923\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/hi\/\u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923\/\" \/>\n<meta property=\"og:locale\" content=\"hi_IN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 \u0938\u0939\u092a\u094d\u0930\u0938\u0930\u0923: \u0938\u0942\u0924\u094d\u0930, \u0909\u0926\u093e\u0939\u0930\u0923, \u0917\u0941\u0923, \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930,...\" \/>\n<meta property=\"og:description\" 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