{"id":246,"date":"2019-06-09T21:40:10","date_gmt":"2019-06-09T12:40:10","guid":{"rendered":"https:\/\/obenkyolab.com\/?p=246"},"modified":"2020-05-19T22:56:58","modified_gmt":"2020-05-19T13:56:58","slug":"python%e3%81%a7%e7%b5%b1%e8%a8%88%e5%ad%a6%e5%8b%89%e5%bc%b7%e3%80%80%e5%b9%b3%e5%9d%87%e5%88%86%e6%95%a3","status":"publish","type":"post","link":"https:\/\/obenkyolab.com\/?p=246","title":{"rendered":"\u3010Python\u3011\u7b97\u8853\u5e73\u5747\u3068\u5e7e\u4f55\u5e73\u5747\u8a08\u7b97"},"content":{"rendered":"\n\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_80 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/obenkyolab.com\/?p=246\/#%E7%9B%AE%E7%9A%84\" >\u76ee\u7684<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/obenkyolab.com\/?p=246\/#%E5%B9%B3%E5%9D%87\" >\u5e73\u5747<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/obenkyolab.com\/?p=246\/#%E7%AE%97%E8%A1%93%E5%B9%B3%E5%9D%87\" >\u7b97\u8853\u5e73\u5747<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/obenkyolab.com\/?p=246\/#%E5%B9%BE%E4%BD%95%E5%B9%B3%E5%9D%87\" >\u5e7e\u4f55\u5e73\u5747<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/obenkyolab.com\/?p=246\/#%E3%81%BE%E3%81%A8%E3%82%81\" >\u307e\u3068\u3081<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%9B%AE%E7%9A%84\"><\/span>\u76ee\u7684<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u7d71\u8a08\u5b66\u3092\u4f7f\u3044\u3053\u306a\u3057\u305f\u3044\u3002<br>\u3067\u3082\u53c2\u8003\u66f8\u3092\u8aad\u3093\u3067\u3044\u3066\u3082\u96e3\u3057\u3044\u6982\u5ff5\u3084\u6570\u5f0f\u304c\u6ca2\u5c71\u51fa\u3066\u304d\u3066\u3001\u305d\u306e\u6642\u306f\u5206\u304b\u3063\u305f\u3064\u3082\u308a\u306b\u306a\u3063\u3066\u3082\u5f8c\u3067\u5b9f\u8df5\u7684\u306b\u4f7f\u3046\u5834\u9762\u3067\u306a\u304b\u306a\u304b\u4f7f\u3048\u3066\u306a\u3044\u3002<br><br>\u3084\u306f\u308a\u81ea\u5206\u306f\u53c2\u8003\u66f8\u3092\u8aad\u3080\u3060\u3051\u3067\u306a\u304f\u3001\u5b9f\u969b\u306e\u30c7\u30fc\u30bf\u3092python\u3067\u6271\u3044\u3001\u624b\u3092\u52d5\u304b\u3057\u306a\u304c\u3089\uff08\u30b3\u30fc\u30c9\u3092\u66f8\u304d\u306a\u304c\u3089\uff09\u7d71\u8a08\u5b66\u306e\u52c9\u5f37\u3092\u3057\u3066\u3044\u304d\u305f\u3044\u3002<br>\u305d\u306e\u305f\u3081\u3001\u7d71\u8a08\u5b66\u306e\u57fa\u672c\u90e8\u5206\u304b\u3089python\u3067\u30b3\u30fc\u30c7\u30a3\u30f3\u30b0\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%B9%B3%E5%9D%87\"><\/span>\u5e73\u5747<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u307e\u305a\u306f\u3001\u3053\u308c\u304b\u3089\u3002\u5c0f\u5b66\u751f\u3067\u3082\u7fd2\u3046\u3067\u3042\u308d\u3046\u5e73\u5747\u3068\u3044\u3046\u7d71\u8a08\u5024\u306b\u5bfe\u3057\u3066\u3001\u30c7\u30fc\u30bf\u3092\u89e6\u308a\u306a\u304c\u3089\u7406\u89e3\u3092\u6df1\u3081\u3066\u3044\u304d\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002\u57fa\u672c\u304c\u5927\u4e8b\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E7%AE%97%E8%A1%93%E5%B9%B3%E5%9D%87\"><\/span>\u7b97\u8853\u5e73\u5747<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u4e16\u306e\u4e2d\u4e00\u822c\u3067\u8a00\u3046\u300c\u5e73\u5747\u300d\u304c\u7b97\u8853\u5e73\u5747\u3067\u3059\u3002<br>\u4f8b\u3048\u3070\uff13\u4eba\u306e\u4eba\u304c\u5c45\u3066\u3001\u305d\u308c\u305e\u308c\u3001\u6b21\u3088\u3046\u306a\u8eab\u9577\u3060\u3063\u305f\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>A\u3055\u3093\u3000170cm<\/li><li>B\u3055\u3093\u3000165cm<\/li><li>C\u3055\u3093\u3000175cm<\/li><\/ol>\n\n\n\n<p>\u3053\u306e\u3068\u304d\u3001\u5f53\u305f\u308a\u524d\u3067\u3059\u304c\u3001\uff13\u4eba\u306e\u8eab\u9577\u306e\u5e73\u5747\uff08\u7b97\u8853\u5e73\u5747\uff09\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u8a08\u7b97\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>(170+165+175)\u00f73 = 170cm<\/p>\n\n\n\n<p>\u3053\u308c\u304c\u7b97\u8853\u5e73\u5747\u306e\u8a08\u7b97\u65b9\u6cd5\u3067\u3059\u304c\u3001\u5e73\u5747\u306b\u306f\u4e0a\u8a18\u3068\u306f\u7570\u306a\u308b\u5b9a\u7fa9\u3068\u8a08\u7b97\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%B9%BE%E4%BD%95%E5%B9%B3%E5%9D%87\"><\/span>\u5e7e\u4f55\u5e73\u5747<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u305d\u306e\u4ed6\u306e\u5e73\u5747\u306e\u5b9a\u7fa9\u3068\u3057\u3066\u5e7e\u4f55\u5e73\u5747\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308a\u307e\u3059\u3002<br>\u5e7e\u4f55\u5e73\u5747\u3067\u8a08\u7b97\u3057\u305f\u3044\u30b1\u30fc\u30b9\u306f\u3001<strong>\u6bd4\u7387\u306e\u5e73\u5747<\/strong>\u3092\u3068\u308a\u305f\u3044\u3088\u3046\u306a\u5834\u5408\u3067\u3059\u3002\u4f8b\u3048\u3070GDP\u306e\u6210\u9577\u7387\u3092\u8a08\u7b97\u3057\u305f\u3044\u3088\u3046\u306a\u6642\u3067\u3059\u3002<br>\u5177\u4f53\u7684\u306a\u30a4\u30e1\u30fc\u30b8\u304c\u308f\u304b\u308a\u3084\u3059\u3044\u3088\u3046\u306b\u5b9f\u969b\u306eGDP\u306e\u30c7\u30fc\u30bf\u3092\u7528\u3044\u3066\u8a08\u7b97\u3057\u3066\u307f\u305f\u3044\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u30c7\u30fc\u30bf\u306f\u5185\u95a3\u5e9cHP\u306b\u30aa\u30fc\u30d7\u30f3\u30c7\u30fc\u30bf\u3068\u3057\u3066\u516c\u958b\u3055\u308c\u3066\u304a\u308a\u3001<a href=\"https:\/\/www.esri.cao.go.jp\/jp\/sna\/data\/data.html\">\u3053\u3061\u3089<\/a>\u304b\u3089\u30c0\u30a6\u30f3\u30ed\u30fc\u30c9\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>\u4e0a\u8a18\u304b\u3089\u53d6\u5f97\u3057\u305f\u30c7\u30fc\u30bf\u3092\u4f7f\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30c7\u30fc\u30bf\u3092\u4f5c\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/obenkyolab.com\/wp-content\/uploads\/2019\/06\/image-5.png\" alt=\"\u00e3\u0081\u0093\u00e3\u0081\u00ae\u00e7\u0094\u00bb\u00e5\u0083\u008f\u00e3\u0081\u00ab\u00e3\u0081\u00af alt \u00e5\u00b1\u009e\u00e6\u0080\u00a7\u00e3\u0081\u008c\u00e6\u008c\u0087\u00e5\u00ae\u009a\u00e3\u0081\u0095\u00e3\u0082\u008c\u00e3\u0081\u00a6\u00e3\u0081\u008a\u00e3\u0082\u0089\u00e3\u0081\u009a\u00e3\u0080\u0081\u00e3\u0083\u0095\u00e3\u0082\u00a1\u00e3\u0082\u00a4\u00e3\u0083\u00ab\u00e5\u0090\u008d\u00e3\u0081\u00af image-5.png \u00e3\u0081\u00a7\u00e3\u0081\u0099\"\/><\/figure>\n\n\n\n<p><br> GDP(Eexpenditure Approach)\u3092\u5404\u5e74\u306e\u5404\u30af\u30a6\u30a9\u30fc\u30bf\u306eGDP\u3068\u3057\u307e\u3059\u3002<br>\u307e\u305f\u3001GDP_dif\u3092\u524d\u30af\u30a9\u30fc\u30bf\u3068\u306e\u5dee\u5206\u3001GDP_chg\u3092\u524d\u30af\u30a9\u30fc\u30bf\u3068\u306e\u5dee\u5206\u306e\u6bd4\u7387\u3068\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p><br>\u3053\u3053\u304b\u3089\u5e7e\u4f55\u5b66\u5e73\u5747\u3092\u8a08\u7b97\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p> \u307e\u305a\u3001GDP\u306e\u5e73\u5747\u4f38\u3073\u7387\u3092\u8a08\u7b97\u3057\u305f\u3044\u5834\u5408\u3001\u3082\u3057\u5358\u7d14\u306b\u5148\u8ff0\u306e\u7b97\u8853\u5e73\u5747\u3092\u4f7f\u3063\u3066\u8a08\u7b97\u3059\u308b\u3068\u3001python\u306e.mean()\u3092\u4f7f\u7528\u3059\u308b\u3053\u3068\u3067\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u30b3\u30fc\u30c9\u3067\u8a08\u7b97\u3067\u304d\u308b\u304b\u3068\u601d\u3044\u307e\u3059\u3002 <\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\n#GDP\u6210\u9577\u7387\u8a08\u7b97\nGDP_df&#x5B;&#039;GDP_chg&#039;].mean()+1  #\u7d50\u679c\uff1a1.006475286192290905\n<\/pre><\/div>\n\n\n<p><br>\u3067\u306f\u6b21\u306b\u3001\u3053\u306e\u3088\u3046\u306a\u5834\u5408\u306b\u7b97\u8853\u5e73\u5747\u304c\u9069\u5f53\u304b\uff1f\u3068\u3044\u3046\u3053\u3068\u3092\u8003\u3048\u308b\u305f\u3081\u306b\u3001\u307e\u305a\u306f\u3001GDP\u306e\u4f38\u3073\u7387\u304c\u3069\u306e\u3088\u3046\u306a\u8a08\u7b97\u3067\u884c\u308f\u308c\u3066\u3044\u308b\u304b\u3092\u518d\u78ba\u8a8d\u3057\u3066\u307f\u307e\u3059\u3002<\/p>\n\n\n\n<p>1994\u5e74\u306e\u7b2c\u4e00\u671f\u306eGDP\u3092\u521d\u671f\u5024\\(A_0\\)\u3068\u3057\u305f\u3068\u304d\u3001\\(N\\)\u671f\u5f8c\u306eGDP(\\(A_N\\)\u3068\u3059\u308b)\u3092\u6bd4\u7387\\(r_i\\)\u3092\u4f7f\u3063\u3066\u8a08\u7b97\u3059\u308b\u3068\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p> $$A_N=A(1+r_0) (1+r_1)&#8230; (1+r_N)  $$ <\/p>\n\n\n\n<p>\u3053\u3053\u3067\u3001\u4eee\u306b\u4f38\u3073\u7387\u306e\u5e73\u5747\u5024\u306e\\(\\overline{r}\\)\u3068\u3044\u3046\u3082\u306e\u304c\u5b58\u5728\u3057\u305f\u3068\u3059\u308b\u3068\u3001\u4ee5\u4e0b\u306e\u3088\u3046\u306a\u8a08\u7b97\u5f0f\u306b\u306a\u308b\u306e\u304c\u81ea\u7136\u306b\u601d\u3048\u307e\u3059\u3002<\/p>\n\n\n\n<p>  $$A_N=A(1+\\overline{r}) (1+ \\overline{r} )&#8230; (1+ \\overline{r} ) =A(1+\\overline{r})^N $$  <\/p>\n\n\n\n<p>\u3053\u308c\u3092\u5909\u5f62\u3059\u308b\u3068\u4ee5\u4e0b\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>$$\\overline{r} =  \\sqrt[ n ]{  (1+r_0) (1+r_1)&#8230; (1+r_N)  } -1$$<\/p>\n\n\n\n<p>$$ 1+\\overline{r} =  \\left(\\prod_{i=0}^{n}  (1+r_i)\\right) ^\\frac{1}{n} $$<\/p>\n\n\n\n<p>\u4e0a\u8a18\u3092\u898b\u308b\u3068\u3001\u6210\u9577\u7387\u306e\u5e73\u5747\u306f\u5404\u30af\u30a9\u30fc\u30bf\u306e\u6210\u9577\u7387\u306e\u7a4d\\(n\\)\u4e57\u6839\u306b\u306a\u3063\u3066\u3044\u308b\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<br>\u3053\u308c\u3092<strong>\u5e7e\u4f55\u5e73\u5747<\/strong>\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u3053\u306e\u3088\u3046\u306b\u3001\u25cb\u25cb\u7387\u306e\u3088\u3046\u306a\u6bd4\u7387\u306b\u5bfe\u3057\u3066\u5e73\u5747\u3092\u3068\u308b\u5834\u5408\u306b\u306f\u7b97\u8853\u5e73\u5747\u3067\u306a\u304f\u5e7e\u4f55\u5e73\u5747\u306e\u65b9\u304c\u81ea\u7136\u306a\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5e7e\u4f55\u5e73\u5747\u3092python\u3067\u8a08\u7b97\u3059\u308b\u306b\u306f\u4ee5\u4e0b\u306e\u30b3\u30fc\u30c9\u3067\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-syntaxhighlighter-code \"><pre class=\"brush: python; title: ; notranslate\" title=\"\">\nfrom scipy import stats\n\n#1\u3092\u8db3\u3057\u30661+r\u306e\u5f62\u306b\u3059\u308b\nGDP_df&#x5B;&#039;GDP_chg_1r&#039;] = GDP_df&#x5B;&#039;GDP_chg&#039;]+1 \n\n#1\u884c\u76ee\u306e\u6210\u9577\u7387\u306fnan\u306a\u305f\u3081\u30012\u884c\u76ee\u304b\u3089\u5e7e\u4f55\u5e73\u5747\u3092\u3068\u308b\nstats.gmean(GDP_df&#x5B;&#039;GDP_chg_1r&#039;]&#x5B;2:]) #\u7d50\u679c\uff1a1.0075758730457869\n<\/pre><\/div>\n\n\n<p>\u7b97\u8853\u5e73\u5747\u306e\u5834\u5408\u306fGDP\u4f38\u3073\u7387\u306e\u5e73\u5747\u304c1.006475\u3060\u3063\u305f\u306e\u306b\u6bd4\u3079\u3001\u5e7e\u4f55\u5e73\u5747\u306e\u5834\u5408\u306f1.007576\u3068\u5c11\u3057\u5927\u304d\u304f\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E3%81%BE%E3%81%A8%E3%82%81\"><\/span>\u307e\u3068\u3081<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5e73\u5747\u306b\u306f\u4e00\u822c\u7684\u306b\u4f7f\u3046\u7b97\u8853\u5e73\u5747\u306e\u307b\u304b\u3001\u5e7e\u4f55\u5b66\u5e73\u5747\u3068\u3044\u3046\u3082\u306e\u3082\u5b58\u5728\u3059\u308b\u3002<br>\u30c7\u30fc\u30bf\u7fa4\u306b\u5bfe\u3057\u3066\u3001\u30e2\u30c7\u30eb\u5316\u306a\u3069\u3092\u884c\u3046\u969b\u3001\u4ee3\u8868\u5024\u306e\u9078\u3073\u65b9\u3067\u5e7e\u4f55\u5e73\u5747\u3092\u9078\u629e\u3057\u305f\u307b\u3046\u304c\u3001\u3088\u308a\u30d5\u30a3\u30c3\u30c8\u3059\u308b\u5834\u5408\u3082\u3042\u308d\u3046\u304b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u76ee\u7684 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