{"id":2663,"date":"2023-07-21T06:56:19","date_gmt":"2023-07-21T06:56:19","guid":{"rendered":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-kpss-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b\/"},"modified":"2023-07-21T06:56:19","modified_gmt":"2023-07-21T06:56:19","slug":"python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-kpss-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/python-%e1%80%90%e1%80%bd%e1%80%84%e1%80%ba-kpss-%e1%80%85%e1%80%99%e1%80%ba%e1%80%b8%e1%80%9e%e1%80%95%e1%80%ba%e1%80%81%e1%80%bc%e1%80%84%e1%80%ba%e1%80%b8%e1%81%8b\/","title":{"rendered":"Python \u1010\u103d\u1004\u103a kpss \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u101c\u103b\u103e\u102d\u102f\u1038\u101e\u103d\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a <strong>KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f<\/strong> \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u101c\u103b\u103e\u102d\u102f\u1038\u1014\u1031\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u101c\u103b\u103e\u102d\u102f\u1038\u1014\u1031\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 <em>\u1019\u101b\u103e\u102d\u1015\u102b<\/em> \u104b<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f <a href=\"https:\/\/statorials.org\/my\/p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a-\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038\u1006\u102d\u102f\u1004\u103a\u101b\u102c-\u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b\/\" target=\"_blank\" rel=\"noopener\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038<\/a> \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1015\u102b\u1000 (\u1025\u1015\u1019\u102c \u03b1 = 0.05)\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u103c\u102e\u1038 time series \u101e\u100a\u103a \u1010\u100a\u103a\u1004\u103c\u102d\u1019\u103a\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1019\u101f\u102f\u1010\u103a\u1015\u102b\u1000\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a Python \u1010\u103d\u1004\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1000\u102d\u102f \u1015\u103c\u101e\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 1- Python \u1010\u103d\u1004\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f (\u1005\u102c\u101b\u1031\u1038\u1000\u102d\u101b\u102d\u101a\u102c\u1012\u1031\u1010\u102c\u1014\u103e\u1004\u1037\u103a\u1021\u1010\u1030)<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1026\u1038\u1005\u103d\u102c\u104a Python \u1010\u103d\u1004\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u102f\u1021\u1001\u103b\u102d\u102f\u1037\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">1<\/span> )\n\n<span style=\"color: #008080;\">#create time series data\n<\/span>data = np. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">normal<\/span> (size= <span style=\"color: #008000;\">100<\/span> )\n\n<span style=\"color: #008080;\">#create line plot of time series data\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (data)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-23462 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kpss3.jpg\" alt=\"\" width=\"524\" height=\"351\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1000\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a <b>statsmodels<\/b> \u1015\u1000\u103a\u1000\u1031\u1037\u1002\u103b\u103a\u1019\u103e <strong>kpss()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#perform KPSS test\n<\/span>sm. <span style=\"color: #3366ff;\">tsa<\/span> . <span style=\"color: #3366ff;\">stattools<\/span> . <span style=\"color: #3366ff;\">kpss<\/span> (data, regression=' <span style=\"color: #ff0000;\">ct<\/span> ')\n\n(0.0477617848370993,\n 0.1,\n 1,\n {'10%': 0.119, '5%': 0.146, '2.5%': 0.176, '1%': 0.216})\n\nInterpolationWarning: The test statistic is outside of the range of p-values available\nin the look-up table. The actual p-value is greater than the p-value returned.\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038- <strong>0.04776<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038- <strong>0.1<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1016\u103c\u1010\u103a\u1010\u1031\u102c\u1000\u103a\u1001\u103c\u1004\u103a\u1038 \u1021\u1031\u102c\u1037\u1016\u103a\u1006\u1000\u103a\u1015\u102b\u101b\u102c\u1019\u102e\u1010\u102c- <strong>\u1041<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>10%<\/strong> \u104a <strong>5%<\/strong> \u104a <strong>2.5%<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>1%<\/strong> \u1010\u103d\u1004\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">p-value \u101e\u100a\u103a <strong>0.1<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1019\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u101c\u103b\u103e\u102d\u102f\u1038\u1014\u1031\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u101f\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037 \u101a\u1030\u1006\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a 1-<\/strong> p-value \u101e\u100a\u103a \u1021\u1019\u103e\u1014\u103a\u1010\u1000\u101a\u103a\u1010\u103d\u1004\u103a 0.1 \u1011\u1000\u103a \u1000\u103c\u102e\u1038\u1014\u1031\u101e\u1031\u1038\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 kpss() function \u1019\u103e \u1021\u1014\u102d\u1019\u1037\u103a\u1006\u102f\u1036\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103e\u102c 0.1 \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a 2<\/strong> : \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u101e\u100a\u103a data \u101e\u100a\u103a stationary trend \u1016\u103c\u1005\u103a\u1014\u1031\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u101e\u1010\u103a\u1019\u103e\u1010\u103a\u101b\u1014\u103a \u101e\u1004\u103a\u101e\u100a\u103a <strong>regression=&#8217;ct&#8217;<\/strong> argument \u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101b\u1015\u102b\u1019\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1025\u1015\u1019\u102c 2- Python \u1010\u103d\u1004\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f (\u1005\u1000\u103a\u1019\u1032\u1037\u1012\u1031\u1010\u102c\u1016\u103c\u1004\u1037\u103a)<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1026\u1038\u1005\u103d\u102c\u104a Python \u1010\u103d\u1004\u103a \u1012\u1031\u1010\u102c\u1021\u1010\u102f\u1021\u1001\u103b\u102d\u102f\u1037\u1000\u102d\u102f \u1016\u1014\u103a\u1010\u102e\u1038\u1000\u103c\u1015\u102b\u1005\u102d\u102f\u1037-<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">1<\/span> )\n\n<span style=\"color: #008080;\">#create time series data\n<\/span>data =np. <span style=\"color: #3366ff;\">array<\/span> ([0, 3, 4, 3, 6, 7, 5, 8, 15, 13, 19, 12, 29, 15, 45, 23, 67, 45])\n\n<span style=\"color: #008080;\">#create line plot of time series data\n<\/span>plt. <span style=\"color: #3366ff;\">plot<\/span> (data)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-23463 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/kpss4.jpg\" alt=\"\" width=\"525\" height=\"350\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">\u1010\u1005\u103a\u1016\u1014\u103a\u104a \u1024\u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1012\u1031\u1010\u102c\u1021\u1010\u103d\u1000\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1014\u103a <b>statsmodels<\/b> \u1015\u1000\u103a\u1000\u1031\u1037\u1001\u103a\u103b\u1019\u103e <strong>kpss()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#perform KPSS test\n<\/span>sm. <span style=\"color: #3366ff;\">tsa<\/span> . <span style=\"color: #3366ff;\">stattools<\/span> . <span style=\"color: #3366ff;\">kpss<\/span> (data, regression=' <span style=\"color: #ff0000;\">ct<\/span> ')\n\n(0.15096358910843685,\n 0.04586367574296928,\n 3,\n {'10%': 0.119, '5%': 0.146, '2.5%': 0.176, '1%': 0.216})\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1005\u102c\u101b\u1004\u103a\u1038\u1021\u1004\u103a\u1038- <strong>0.1509<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038- <strong>0.0458<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">\u1016\u103c\u1010\u103a\u1010\u1031\u102c\u1000\u103a\u1001\u103c\u1004\u103a\u1038 \u1021\u1031\u102c\u1037\u1016\u103a\u1006\u1000\u103a\u1015\u102b\u101b\u102c\u1019\u102e\u1010\u102c- <strong>\u1043<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>10%<\/strong> \u104a <strong>5%<\/strong> \u104a <strong>2.5%<\/strong> \u1014\u103e\u1004\u1037\u103a <strong>1%<\/strong> \u1010\u103d\u1004\u103a \u1021\u101b\u1031\u1038\u1000\u103c\u102e\u1038\u101e\u1031\u102c\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a <strong>0.0458<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b \u1024\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u101e\u100a\u103a 0.05 \u1011\u1000\u103a\u1014\u100a\u103a\u1038\u101e\u1031\u102c\u1000\u103c\u1031\u102c\u1004\u1037\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1006\u102d\u102f\u101c\u102d\u102f\u101e\u100a\u103a\u1019\u103e\u102c \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038 <em>\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u1010\u102f\u1010\u103a\u1019\u101f\u102f\u1010\u103a\u1015\u1031<\/em> \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a<\/strong> &#8211; kpss() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1021\u1010\u103d\u1000\u103a \u1005\u102c\u101b\u103d\u1000\u103a\u1005\u102c\u1010\u1019\u103a\u1038\u1021\u1015\u103c\u100a\u1037\u103a\u1021\u1005\u102f\u1036\u1000\u102d\u102f statsmodels package \u1019\u103e <a href=\"https:\/\/www.statsmodels.org\/stable\/generated\/statsmodels.tsa.stattools.kpss.html\" target=\"_blank\" rel=\"noopener\">\u1024\u1014\u1031\u101b\u102c\u1010\u103d\u1004\u103a<\/a> \u101b\u103e\u102c\u1010\u103d\u1031\u1037\u1014\u102d\u102f\u1004\u103a\u1015\u102b\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u1011\u1015\u103a\u101c\u1031\u102c\u1004\u103a\u1038\u1021\u101b\u1004\u103a\u1038\u1021\u1019\u103c\u1005\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><span style=\"color: #000000;\"><br \/><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1016\u1031\u102c\u103a\u1015\u103c\u1015\u102b \u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a Python \u101b\u103e\u102d time series data \u1014\u103e\u1004\u1037\u103a \u1021\u101c\u102f\u1015\u103a\u101c\u102f\u1015\u103a\u1015\u102f\u1036\u1006\u102d\u102f\u1004\u103a\u101b\u102c \u1014\u1031\u102c\u1000\u103a\u1011\u1015\u103a\u1021\u1001\u103b\u1000\u103a\u1021\u101c\u1000\u103a\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1015\u1031\u1038\u1006\u1031\u102c\u1004\u103a\u101e\u100a\u103a-<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/my\/dickey-fuller-\u1005\u1019\u103a\u1038\u101e\u1015\u103a-python\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a augmented Dickey-Fuller \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1014\u100a\u103a\u1038<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/mann-kendall-\u1005\u1015\u102b\u1038\u1021\u102f\u1036\u1038\u1000\u102d\u102f-\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1001\u103c\u1004\u103a\u1038\u104b\/\" target=\"_blank\" rel=\"noopener\">Python \u1010\u103d\u1004\u103a Mann-Kendall Trend Test \u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u101b\u1019\u100a\u103a\u1014\u100a\u103a\u1038\u104b<\/a><br \/> <a href=\"https:\/\/statorials.org\/my\/matplotlib-\u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\/\" target=\"_blank\" rel=\"noopener\">Matplotlib \u1010\u103d\u1004\u103a \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u1000\u102d\u102f \u1018\u101a\u103a\u101c\u102d\u102f\u1006\u103d\u1032\u1019\u101c\u1032\u104b<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1010\u1005\u103a\u1001\u102f\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u101c\u103b\u103e\u102d\u102f\u1038\u101e\u103d\u102c\u1038\u1001\u103c\u1004\u103a\u1038\u101b\u103e\u102d\u1019\u101b\u103e\u102d \u1006\u102f\u1036\u1038\u1016\u103c\u1010\u103a\u101b\u1014\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b \u1024\u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u101e\u100a\u103a \u1021\u1031\u102c\u1000\u103a\u1015\u102b null \u1014\u103e\u1004\u1037\u103a \u1021\u1001\u103c\u102c\u1038\u1021\u1001\u103c\u102c\u1038\u101e\u1031\u102c \u1021\u101a\u1030\u1021\u1006\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u101e\u100a\u103a \u104b H 0 : \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u101c\u103b\u103e\u102d\u102f\u1038\u1014\u1031\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b H A : \u1021\u1001\u103b\u102d\u1014\u103a\u1005\u102e\u1038\u101b\u102e\u1038\u1019\u103b\u102c\u1038\u101e\u100a\u103a \u1004\u102f\u1010\u103a\u101c\u103b\u103e\u102d\u102f\u1038\u1014\u1031\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1019\u101b\u103e\u102d\u1015\u102b \u104b \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u104f p-\u1010\u1014\u103a\u1016\u102d\u102f\u1038 \u101e\u100a\u103a \u1021\u1001\u103b\u102d\u102f\u1037\u101e\u1031\u102c \u1021\u101b\u1031\u1038\u1015\u102b\u1019\u103e\u102f\u1021\u1006\u1004\u1037\u103a\u1021\u1031\u102c\u1000\u103a\u1010\u103d\u1004\u103a \u101b\u103e\u102d\u1015\u102b\u1000 (\u1025\u1015\u1019\u102c \u03b1 = 0.05)\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u1015\u103c\u102e\u1038 time series \u101e\u100a\u103a \u1010\u100a\u103a\u1004\u103c\u102d\u1019\u103a\u101e\u1031\u102c\u101c\u1019\u103a\u1038\u1000\u103c\u1031\u102c\u1004\u103a\u1038\u1019\u101b\u103e\u102d\u101f\u102f \u1000\u1031\u102c\u1000\u103a\u1001\u103b\u1000\u103a\u1001\u103b\u1015\u102b\u101e\u100a\u103a\u104b \u1019\u101f\u102f\u1010\u103a\u1015\u102b\u1000\u104a \u1000\u103b\u103d\u1014\u103a\u102f\u1015\u103a\u1010\u102d\u102f\u1037\u101e\u100a\u103a null hypothesis \u1000\u102d\u102f \u1004\u103c\u1004\u103a\u1038\u1015\u101a\u103a\u101b\u1014\u103a \u1015\u103b\u1000\u103a\u1000\u103d\u1000\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u1015\u102b\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1014\u1019\u1030\u1014\u102c\u1019\u103b\u102c\u1038\u101e\u100a\u103a Python [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Python - Statology \u1010\u103d\u1004\u103a KPSS \u1005\u1019\u103a\u1038\u101e\u1015\u103a\u1019\u103e\u102f\u1015\u103c\u102f\u101c\u102f\u1015\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta 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