Difference between revisions of "User:Herb"
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* [http://ballistipedia.com/index.php?title=What_is_Precision%3F What is precision?] | * [http://ballistipedia.com/index.php?title=What_is_Precision%3F What is precision?] | ||
− | * [[Dispersion Classifications]] | + | * [[Projectile Dispersion Classifications]] |
* [[Measuring Precision]] | * [[Measuring Precision]] | ||
* [[Herb_References]] | * [[Herb_References]] | ||
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= Measures = | = Measures = | ||
− | [[Extreme Spread]] | + | * Circular Error Probable (CEP) |
− | + | * Covering Circle Radius (CCR) | |
− | [[Figure of Merit]] | + | * Diagonal (D) |
− | + | * Elliptical Error Probable (EEP) | |
− | [[Mean Radius]] | + | * [[Extreme Spread]] |
+ | * [[Figure of Merit]] | ||
+ | * Horizontal and Vertical Variances | ||
+ | * [[Mean Radius]] | ||
+ | * Rayleigh Distribution Mode (RDM) | ||
+ | * Radial Standard Deviation (RSD) | ||
= Wiki pages I created = | = Wiki pages I created = | ||
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[[Data Transformations to Rayleigh Distribution]] | [[Data Transformations to Rayleigh Distribution]] | ||
− | [[Derivation of the Rayleigh Distribution Equation]] | + | [[Derivation of the Rayleigh Distribution Equation | Mathematical Formulas and Derivations]] |
− | [[Dispersion | + | [[Projectile Dispersion Classifications]] - getting close... |
[[Error Propagation]] | [[Error Propagation]] | ||
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--- | --- | ||
Carnac the Magnificent | Carnac the Magnificent | ||
+ | |||
+ | ab initio | ||
---- | ---- | ||
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---- | ---- | ||
− | Measurements | + | = Measurements = |
{| class="wikitable" class="wikitable" style="font-size: " | {| class="wikitable" class="wikitable" style="font-size: " | ||
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## Assumptions | ## Assumptions | ||
## Data transformation | ## Data transformation | ||
− | # | + | # CEP(50) Using Ranking |
+ | ## Value | ||
+ | ## Confidence Interval | ||
## Outlier Tests | ## Outlier Tests | ||
− | # CEP(50) | + | # CEP(50) Using Rayleigh distribution |
− | ## | + | ## Value |
− | ## | + | ## Confidence Interval |
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
− | |||
## Outlier Tests | ## Outlier Tests | ||
− | |||
− | |||
|} | |} | ||
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+ | |||
+ | ---- | ||
+ | |||
+ | "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 | sighting shot distribution |
Latest revision as of 12:48, 14 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
ab initio
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), 618-632. 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