Talk:Sighter Distribution

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Revision as of 15:35, 30 May 2015 by Herb (talk | contribs)
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I think there is some slop in the equations that needs fixing.

I think the second equation:

\(R(n) = \sqrt{\overline{x_i}^2 + \overline{y_i}^2}\)

should be:

\(R_n = \sqrt{\overline{X}^2 + \overline{Y}^2}\)


I think the third equation:

\(\bar X, \bar Y \sim N(0,\sigma^2/n)\)

should be:

\(\bar X, \bar Y \sim N(0,\frac{\sigma}{\sqrt{n}})\)


There is another fine point that should be explicitly stated. The sample of three shots uses n as sample size. But the \(\sigma\) is the population standard deviation, not the sample standard deviation s.


Don't really like this

\(f_{R_n}(r_n)\)

seems it should just be

\(f({R_n})\)

which would require changing r to R in equation.


Herb (talk) 15:14, 30 May 2015 (EDT)