Difference between revisions of "User:Herb"
(→Wiki pages I created) 
(→Measures) 

Line 16:  Line 16:  
= Measures =  = Measures =  
+  Circular Error Probable (CEP)  
+  Covering Circle Radius (CCR)  
+  Diagonal (D)  
+  Elliptical Error Probable (EEP)  
[[Extreme Spread]]  [[Extreme Spread]]  
−  
[[Figure of Merit]]  [[Figure of Merit]]  
−  +  Horizontal and Vertical Variances  
[[Mean Radius]]  [[Mean Radius]]  
+  Rayleigh Distribution Mode (RDM)  
+  Radial Standard Deviation (RSD)  
= Wiki pages I created =  = Wiki pages I created = 
Revision as of 17:06, 13 June 2015
My notion of sidebar
 What is precision?
 Projectile Dispersion Classifications
 Measuring Precision
 Herb_References
 Examples
Measures
Circular Error Probable (CEP) Covering Circle Radius (CCR) Diagonal (D) Elliptical Error Probable (EEP) Extreme Spread Figure of Merit Horizontal and Vertical Variances Mean Radius Rayleigh Distribution Mode (RDM) Radial Standard Deviation (RSD)
Wiki pages I created
Covering Circle Radius versus Extreme Spread  should be pretty good.
Data Transformations to Rayleigh Distribution
Mathematical Formulas and Derivations
Projectile Dispersion Classifications  getting close...
Extreme Spread * measure
Figure of Merit * measure
Leslie 1993  notion ok, disagree with content on page.
Measuring Precision  this is fairly solid.
Mean Radius * measure
Sighting a Weapon ** needs work
Stringing seems mostly ok. Fuzzy on how to handle inter/exterior ballastics.
What is ρ in the Bivariate Normal distribution? think this pretty good.
Interrelationship of the Range Measurements
 Range
 Studentized Range
 Covering Circle
 Diagonal
 ES
 FOM
 ES
Derivation_of_the_Rayleigh_Distribution_Equation#BND_to_1_shot_RD
 Carnac the Magnificent
Suppose that Xk has the gamma distribution with shape parameter k∈(0,∞) and fixed scale parameter b∈(0,∞). Then the distribution of the standardized variable below converges to the standard normal distribution as k→∞:
\(Z_k = \frac{X_k−kb}{b\sqrt{k}}\)
Measurements


 Elliptical Error Probable
 Experimental Summary
 Given
 Assumptions
 Data transformation
 Experimental Measure
 Outlier Tests
 Theoretical ES Distribution
 Dispersion by Rayleigh Distribution
 Dispersion by Orthogonal Elliptical Distribution
 Parameters Needed
 CDF
 Mode, Median, Mean, Standard Deviation, %RSD
 Sample Variance and Its distribution
 Outlier Tests
 Dispersion by Hoyt Distribution
 Parameters Needed
 CDF
 Mode, Median, Mean, Standard Deviation, %RSD
 Sample Variance and Its distribution
 Outlier Tests
 See Also
"The difference between theory and practice is larger in practice than in theory."
In theory there is no difference between theory and practice. But, in practice, there is.
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 
master ref page
I like the structure of this wiki page. You can look at the "groups of papers" then jump to a specific paper and use the browser back button to go back to the group.
Could we make this the "master" reference page?
(1) Move references to top of page (2) put TOC that floats to right (3) Have level 1 headings for various topics (eg CEP Literature, EEP Literature, ES, Rayleigh Model, Hoyt Model) (4) Each level 1 heading would have various "groups" of papers. (5) From some paper that we want to discuss create an off page link for that paper. (eg comments on "prior Art" page
how I'd redo references so as to provide some that was "linkable" and could be "named"
So Blischke_Halpin_1966 could be name of wiki page and a "named" link within the page. thus reference in a wiki page would be something like:
: yada yada yada (Blischke_Halpin_1966) yada yada yada
the link would jump to the "master" page of references to that entry.
 Blischke_Halpin_1966
 Blischke, W. R., & Halpin, A. H. (1966). Asymptotic properties of some estimators of quantiles of circular error. Journal of the American Statistical Association, 61 (315), 618632. http://www.jstor.org/stable/2282775
 Chew_Boyce_1962
 Chew, V., & Boyce, R. (1962). Distribution of radial error in bivariate elliptical normal distributions. Technometrics, 4 (1), 138–140. http://www.jstor.org/stable/1266181
 Culpepper_1978
 Culpepper, G. A. (1978). Statistical analysis of radial error in two dimensions (Tech. Rep.). White Sands Missile Range, NM
 U.S. Army Material Test and Evaluation Directorate. http://handle.dtic.mil/100.2/ADA059117