Python matplotlibを使って学ぶ統計処理正規分布のソースを表示新しいページはコチラ

== '''正規分布の公式''' ==

<span style= "background: linear-gradient(transparent 70%, #c1e0ff 70%);">確率密度関数</span>は以下のように定義されます。

{| style = "width: 100%;"  
| style= "background-color: #c2d7ff; white-space:nowrap; padding:5px; border: dotted 1px black;  border-radius: 10px;" | <big><ymath>$$ f(x)  = \frac{1}{\sqrt{2\pi } \sigma } \exp^{-\frac{1}{2\sigma }( x-\mu )^{2}} $$ </ymath> </big>
|}

この項目ではこの確率密度関数をpythonを使いつつ理解しようとすることを目指します。
しばらくは工事中で、この説明に必要な数式を試す場所として利用します)。

　

== '''アンダーラインCSSのサンプル<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">（</span> <span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">[蛍光ペンを模した形式]</span><span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">）</span>''' ==
=== 赤色系統 ===
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ffadad 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ffadad 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ff9393 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ff9393 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ff7f7f 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ff7f7f 75%); font-weight:bold; ">正規分布</span>

　

=== 水色系統 === 
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #c1e0ff 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #c1e0ff 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #9eceff 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #9eceff 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #7fbfff 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #7fbfff 75%); font-weight:bold; ">正規分布</span>

　
=== 黄色系統 === 
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #fff799 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #fff799 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #edde7b 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #edde7b 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ffdc00 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ffdc00 75%); font-weight:bold; ">正規分布</span>

　
=== 緑色系統 === 
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #b2ffb2 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #b2ffb2 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #7fff7f 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #7fff7f 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #bfff7f 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #bfff7f 75%); font-weight:bold; ">正規分布</span>

　
=== 桃色系統 === 
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ffc1e0 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ffc1e0 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ffc0cb 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ffc0cb 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ff9ece 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ff9ece 75%); font-weight:bold; ">正規分布</span>

　
=== 淡水色系統 === 
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #c1ffff 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #c1ffff 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #bce2e8 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #bce2e8 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #afeeee 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #afeeee 75%); font-weight:bold; ">正規分布</span>

　
=== 橙色系統 === 
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ffe0c1 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ffe0c1 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ffce9e 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ffce9e 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ffbf7f 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ffbf7f 75%); font-weight:bold; ">正規分布</span>

　
=== 紫色系統 === 
<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #cab8d9 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #cab8d9 75%); font-weight:bold; ">正規分布</span>


<span style = "font-style: normal">&lt;span style = "background:linear-gradient<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">(</span>transparent 75%, #ce9eff 75%<span style = "'Meiryo', 'ヒラギノ角ゴ Pro W3 ', 'ＭＳ Ｐゴシック', ' Osaka',  sans-serif; font-style: normal; !important">)</span>; font-weight:bold; "&gt;正規分布&lt;/span&gt;</span>

<span style = " background:linear-gradient(transparent 75%, #ce9eff 75%); font-weight:bold; ">正規分布</span>


=== アニメーションマーカー === 
<yjavascript>

<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.11.0/jquery.min.js"></script>
<script>
$(window).scroll(function (){
	$(".marker-animation").each(function(){
	  var position = $(this).offset().top; //ページの一番上から要素までの距離を取得
	  var scroll = $(window).scrollTop(); //スクロールの位置を取得
	  var windowHeight = $(window).height(); //ウインドウの高さを取得
	  if (scroll > position - windowHeight){ //スクロール位置が要素の位置を過ぎたとき
	    $(this).addClass('active'); //クラス「active」を与える
	  }
	});
});
</script>
<style type= "text/css">

.marker-animation.active{
    background-position: -100% .5em;
}

.marker-animation {
    background-image: -webkit-linear-gradient(left, transparent 50%, rgb(255,250,153) 50%);
    background-image: -moz-linear-gradient(left, transparent 50%, rgb(255,250,153) 50%);
    background-image: -ms-linear-gradient(left, transparent 50%, rgb(255,250,153) 50%);
    background-image: -o-linear-gradient(left, transparent 50%, rgb(255,250,153) 50%);
    background-image: linear-gradient(left, transparent 50%, rgb(255,250,153) 50%);
    background-repeat: repeat-x;
    background-size: 200% .8em;
    background-position: 0 .5em;
    transition: all 2s ease;
    font-weight: bold;
}

</style>
</yjavascript>
<span class="marker-animation">
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</span>