Difference between revisions of "Talk:Sighter Distribution"
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There is another fine point that should be explicitly stated. The sample of three shots uses ''n'' as sample size. But the <math>\sigma</math> is the population standard deviation, not the sample standard deviation ''s''. | There is another fine point that should be explicitly stated. The sample of three shots uses ''n'' as sample size. But the <math>\sigma</math> is the population standard deviation, not the sample standard deviation ''s''. | ||
+ | ---- | ||
+ | |||
+ | Don't really like this | ||
+ | |||
+ | <math>f_{R_n}(r_n)</math> | ||
+ | |||
+ | seems it should just be | ||
+ | |||
+ | <math>f({R_n})</math> | ||
+ | |||
+ | which would require changing ''r'' to R in equation. | ||
+ | ---- | ||
[[User:Herb|Herb]] ([[User talk:Herb|talk]]) 15:14, 30 May 2015 (EDT) | [[User:Herb|Herb]] ([[User talk:Herb|talk]]) 15:14, 30 May 2015 (EDT) |
Revision as of 15:35, 30 May 2015
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.