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@YinanWangAI
YinanWangAI committed Sep 11, 2014
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2 changes: 1 addition & 1 deletion atom.xml
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<link href="http://wangyinanchina.github.io/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>

<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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12 changes: 5 additions & 7 deletions blog/2014/09/10/pgm-chap-2/index.html
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Expand Up @@ -331,19 +331,17 @@ <h3>概率论部分</h3>
如果X和Y独立，那么$$E(X*Y) = E(X)E(Y)$$
对于X和Y的条件期望，有公式:$$E(X|y) = \sum_{x}x*P(x|y)$$</p>

<p>方差的定义如下：</p>

<blockquote><p>$$$Var(X) = E[(X - E(x))<sup>2</sup>] = E(X<sup>2</sup>) - (E(X))<sup>2</sup>$$$</p></blockquote>
<p>方差的定义如下：
$$Var(X) = E[(X - E(x))^{2}] = E(X^{2}) - (E(X))^{2}$$</p>

<p>如果两个变量独立，则$$$Var(X+Y) = Var(X) + Var(Y)$$$，否则需要考虑协方差。</p>

<p>函数的方差：$$$Var(aX + b) = a<sup>2</sup> Var(X)$$$。</p>
<p>函数的方差：$$$Var(aX + b) = a^{2}Var(X)$$$。</p>

<p>标准差定义为方差的平方根。</p>

<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:</p>

<blockquote><p>$$P(|X-E(X)| \geq t) \leq Var(X) / t<sup>2</sup>$$</p></blockquote>
<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:
$$P(|X-E(X)| \geq t) \leq Var(X) / t^{2}$$</p>

<p>它的一个重要用途是告诉我们观测值偏离期望的大致概率。</p>

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14 changes: 6 additions & 8 deletions blog/categories/bei-xie-si/atom.xml
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<title><![CDATA[Category: 贝叶斯 | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/bei-xie-si/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
Expand Down Expand Up @@ -128,19 +128,17 @@ $$p(x) = 1/(b-a), a\leq x \leq b; 0, otherwise$$</p></blockquote>
如果X和Y独立，那么$$E(X*Y) = E(X)E(Y)$$
对于X和Y的条件期望，有公式:$$E(X|y) = \sum_{x}x*P(x|y)$$</p>
<p>方差的定义如下：</p>
<blockquote><p>$$$Var(X) = E[(X - E(x))<sup>2</sup>] = E(X<sup>2</sup>) - (E(X))<sup>2</sup>$$$</p></blockquote>
<p>方差的定义如下：
$$Var(X) = E[(X - E(x))^{2}] = E(X^{2}) - (E(X))^{2}$$</p>
<p>如果两个变量独立，则$$$Var(X+Y) = Var(X) + Var(Y)$$$，否则需要考虑协方差。</p>
<p>函数的方差：$$$Var(aX + b) = a<sup>2</sup> Var(X)$$$。</p>
<p>函数的方差：$$$Var(aX + b) = a^{2}Var(X)$$$。</p>
<p>标准差定义为方差的平方根。</p>
<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:</p>
<blockquote><p>$$P(|X-E(X)| \geq t) \leq Var(X) / t<sup>2</sup>$$</p></blockquote>
<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:
$$P(|X-E(X)| \geq t) \leq Var(X) / t^{2}$$</p>
<p>它的一个重要用途是告诉我们观测值偏离期望的大致概率。</p>
]]></content>
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2 changes: 1 addition & 1 deletion blog/categories/duo-yuan-hui-gui/atom.xml
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<title><![CDATA[Category: 多元回归 | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/duo-yuan-hui-gui/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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14 changes: 6 additions & 8 deletions blog/categories/gai-lu-lun/atom.xml
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<title><![CDATA[Category: 概率论 | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/gai-lu-lun/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
Expand Down Expand Up @@ -128,19 +128,17 @@ $$p(x) = 1/(b-a), a\leq x \leq b; 0, otherwise$$</p></blockquote>
如果X和Y独立，那么$$E(X*Y) = E(X)E(Y)$$
对于X和Y的条件期望，有公式:$$E(X|y) = \sum_{x}x*P(x|y)$$</p>
<p>方差的定义如下：</p>
<blockquote><p>$$$Var(X) = E[(X - E(x))<sup>2</sup>] = E(X<sup>2</sup>) - (E(X))<sup>2</sup>$$$</p></blockquote>
<p>方差的定义如下：
$$Var(X) = E[(X - E(x))^{2}] = E(X^{2}) - (E(X))^{2}$$</p>
<p>如果两个变量独立，则$$$Var(X+Y) = Var(X) + Var(Y)$$$，否则需要考虑协方差。</p>
<p>函数的方差：$$$Var(aX + b) = a<sup>2</sup> Var(X)$$$。</p>
<p>函数的方差：$$$Var(aX + b) = a^{2}Var(X)$$$。</p>
<p>标准差定义为方差的平方根。</p>
<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:</p>
<blockquote><p>$$P(|X-E(X)| \geq t) \leq Var(X) / t<sup>2</sup>$$</p></blockquote>
<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:
$$P(|X-E(X)| \geq t) \leq Var(X) / t^{2}$$</p>
<p>它的一个重要用途是告诉我们观测值偏离期望的大致概率。</p>
]]></content>
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14 changes: 6 additions & 8 deletions blog/categories/gai-lu-tu-mo-xing/atom.xml
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<title><![CDATA[Category: 概率图模型 | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/gai-lu-tu-mo-xing/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
Expand Down Expand Up @@ -128,19 +128,17 @@ $$p(x) = 1/(b-a), a\leq x \leq b; 0, otherwise$$</p></blockquote>
如果X和Y独立，那么$$E(X*Y) = E(X)E(Y)$$
对于X和Y的条件期望，有公式:$$E(X|y) = \sum_{x}x*P(x|y)$$</p>
<p>方差的定义如下：</p>
<blockquote><p>$$$Var(X) = E[(X - E(x))<sup>2</sup>] = E(X<sup>2</sup>) - (E(X))<sup>2</sup>$$$</p></blockquote>
<p>方差的定义如下：
$$Var(X) = E[(X - E(x))^{2}] = E(X^{2}) - (E(X))^{2}$$</p>
<p>如果两个变量独立，则$$$Var(X+Y) = Var(X) + Var(Y)$$$，否则需要考虑协方差。</p>
<p>函数的方差：$$$Var(aX + b) = a<sup>2</sup> Var(X)$$$。</p>
<p>函数的方差：$$$Var(aX + b) = a^{2}Var(X)$$$。</p>
<p>标准差定义为方差的平方根。</p>
<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:</p>
<blockquote><p>$$P(|X-E(X)| \geq t) \leq Var(X) / t<sup>2</sup>$$</p></blockquote>
<p>最后是切比雪夫不等式（我已经忘记怎么证明了&hellip;不过当年上课时肯定是会证的！！！）:
$$P(|X-E(X)| \geq t) \leq Var(X) / t^{2}$$</p>
<p>它的一个重要用途是告诉我们观测值偏离期望的大致概率。</p>
]]></content>
Expand Down
2 changes: 1 addition & 1 deletion blog/categories/jia-she-jian-yan/atom.xml
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<title><![CDATA[Category: 假设检验 | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/jia-she-jian-yan/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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2 changes: 1 addition & 1 deletion blog/categories/markdown/atom.xml
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<title><![CDATA[Category: Markdown | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/markdown/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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2 changes: 1 addition & 1 deletion blog/categories/mou/atom.xml
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<title><![CDATA[Category: Mou | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/mou/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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2 changes: 1 addition & 1 deletion blog/categories/octopress/atom.xml
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<title><![CDATA[Category: Octopress | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/octopress/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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2 changes: 1 addition & 1 deletion blog/categories/tong-ji-mo-xing/atom.xml
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<title><![CDATA[Category: 统计模型 | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/tong-ji-mo-xing/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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2 changes: 1 addition & 1 deletion blog/categories/zheng-ming/atom.xml
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<title><![CDATA[Category: 证明 | 玩儿数据]]></title>
<link href="http://wangyinanchina.github.io/blog/categories/zheng-ming/atom.xml" rel="self"/>
<link href="http://wangyinanchina.github.io/"/>
<updated>2014-09-11T13:29:02+08:00</updated>
<updated>2014-09-11T13:34:56+08:00</updated>
<id>http://wangyinanchina.github.io/</id>
<author>
<name><![CDATA[王轶楠]]></name>
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12 changes: 6 additions & 6 deletions sitemap.xml
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<url>
<loc>http://wangyinanchina.github.io/404.html</loc>
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<lastmod>2014-09-11T13:34:56+08:00</lastmod>
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<url>
<loc>http://wangyinanchina.github.io/about/</loc>
<lastmod>2014-09-11T13:29:02+08:00</lastmod>
<lastmod>2014-09-11T13:34:56+08:00</lastmod>
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<loc>http://wangyinanchina.github.io/projects/</loc>
<lastmod>2014-09-11T13:29:02+08:00</lastmod>
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<url>
<loc>http://wangyinanchina.github.io/privacy/</loc>
<lastmod>2014-09-11T13:29:02+08:00</lastmod>
<lastmod>2014-09-11T13:34:56+08:00</lastmod>
<changefreq>weekly</changefreq>
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<url>
<loc>http://wangyinanchina.github.io/search.html</loc>
<lastmod>2014-09-11T13:29:02+08:00</lastmod>
<lastmod>2014-09-11T13:34:56+08:00</lastmod>
<changefreq>weekly</changefreq>
<priority>0.7</priority>
</url>
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