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        <title>COMMunication&lt;br /&gt;RESearch.NET - estimated_standard_deviation</title>
        <description></description>
        <link>http://www.commres.net/</link>
        <image rdf:resource="http://www.commres.net/_media/wiki/logo.png" />
       <dc:date>2026-04-29T08:33:52+00:00</dc:date>
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        <title>COMMunication<br />RESearch.NET</title>
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        <url>http://www.commres.net/_media/wiki/logo.png</url>
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    <item rdf:about="http://www.commres.net/estimated_standard_deviation/rout02?rev=1773787867&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2026-03-17T22:51:07+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>rout02</title>
        <link>http://www.commres.net/estimated_standard_deviation/rout02?rev=1773787867&amp;do=diff</link>
        <description>&gt; rm(list=ls())
&gt; 
&gt; rnorm2 &lt;- function(n,mean,sd){ 
+     mean+sd*scale(rnorm(n)) 
+ }
&gt; 
&gt; # set.seed(191)
&gt; nx &lt;- 1000
&gt; mx &lt;- 50
&gt; sdx &lt;- mx * 0.1
&gt; sdx  # 5
[1] 5
&gt; x &lt;- rnorm2(nx, mx, sdx)
&gt; # x &lt;- rnorm2(1000, 50, 5) 와 동일
&gt; 
&gt; mean(x)
[1] 50
&gt; sd(x)
[1] 5
&gt; length(x)
[1] 1000
&gt; hist(x)
&gt;</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2026-03-17T22:58:49+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>rscript02</title>
        <link>http://www.commres.net/estimated_standard_deviation/rscript02?rev=1773788329&amp;do=diff</link>
        <description>rm(list=ls())

rnorm2 &lt;- function(n,mean,sd){ 
  mean+sd*scale(rnorm(n)) 
}

# set.seed(191)
nx &lt;- 1000
mx &lt;- 50
sdx &lt;- mx * 0.1
sdx  # 5
x &lt;- rnorm2(nx, mx, sdx)
# x &lt;- rnorm2(1000, 50, 5) 와 동일

mean(x)
sd(x)
length(x)
hist(x)

# the above no gradient
gradient &lt;- function(x, v){
    residuals = x - v
    # y = (sum(x-v)^2)/n 혹은 (mean(x-v)^2) 
    # 의 식이 ms값을 구하는 식인데 
    # 이를 v에 대해서 미분하면 chain rule을 써야 한다
    # 자세한 것은 http://commres.net/wiki/estimated_standard_deviation
    # 문서 중에 미분 부분 참조
   …</description>
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