Difference between revisions of "User:Herb"
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[[MediaWiki:Sidebar]] | [[MediaWiki:Sidebar]] | ||
− | [[ | + | My notion of sidebar: |
+ | |||
+ | * [[Introduction]] | ||
+ | * Dispersion | ||
+ | Models | ||
+ | * References | ||
+ | * Examples | ||
+ | |||
+ | |||
− | + | ---- | |
+ | Measurements | ||
[[Extreme Spread]] | [[Extreme Spread]] | ||
+ | |||
+ | [[Figure of Merit]] | ||
[[Mean Radius]] | [[Mean Radius]] | ||
+ | |||
+ | ---- | ||
+ | |||
+ | [[Sighting a Weapon]] | ||
+ | |||
[[Derivation of the Rayleigh Distribution Equation]] | [[Derivation of the Rayleigh Distribution Equation]] |
Revision as of 19:56, 5 June 2015
My notion of sidebar:
- Introduction
- Dispersion
Models
- References
- Examples
Measurements
Derivation of the Rayleigh Distribution Equation
--- Carnac the Magnificent
sighting shot distribution
The Mean Radius is the average distance over all shots to the groups center.
Given |
|
Assumptions |
|
Data Pretreatment | Shot impact positions converted from Cartesian Coordinates (h, v) to Polar Coordinates \((r,\theta)\)
|
Experimental Measure | \(\bar{r_n}\) - the average radius of n shots
\(\bar{r_n} = \sum_{i=1}^n r_i / n\) |
\(PDF_{r_0}(r; n, \sigma)\) | \(\frac{nr}{\sigma^2}e^{-nr^2/2\sigma^2}\) |
\(CDF_{r_0}(r; n, \sigma)\) | \(1 - e^{-nr^2/2\sigma^2}\) |
Mode of PDF(\(\bar{r_n}\)) | \( \frac{\sigma}{\sqrt{n}}\) |
Median of PDF(\(\bar{r_n}\)) | \( \frac{\sigma}{\sqrt{n}}\sqrt{ln{(4)}}\) |
Mean of PDF(\(\bar{r_n}\)) | \( \frac{\sigma}{\sqrt{n}}\sqrt{\frac{\pi}{2}}\) |
(h,v) for all points? | Yes |
Symmetric about Measure? | |
NSPG Invariant | No |
Robust | No |