Difference between revisions of "Talk:Sighter Distribution"
| Line 29: | Line 29: | ||
<math>f_{R_n}(r_n)</math> | <math>f_{R_n}(r_n)</math> | ||
| − | seems it should just be something like '''If <math>C</math> is the position of the true center relative to the experimental center <math>C^ | + | seems it should just be something like '''If <math>C</math> is the position of the true center relative to the experimental center <math>C^*</math> <math>(\overline{X}, \overline{Y})</math>, then the probability density function of <math>C^*</math> is:<br />''' |
<math>PDF({C^*})= </math> yada yada | <math>PDF({C^*})= </math> yada yada | ||
Revision as of 14:16, 31 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 something like If \(C\) is the position of the true center relative to the experimental center \(C^*\) \((\overline{X}, \overline{Y})\), then the probability density function of \(C^*\) is:
\(PDF({C^*})= \) yada yada
which would also require changing \(r_n\) to \(R_n\) in equation.
