A to Circular Probable Error PDF Download
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Author: Samuel Kotz
Publisher:
ISBN:
Category :
Languages : en
Pages : 480
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Author: Samuel Kotz
Publisher:
ISBN:
Category :
Languages : en
Pages : 480
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Author: United States. Continental Army Command. Office of Special Weapons Developments (Fort Bliss, Tex.)
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Category :
Languages : en
Pages :
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Author: James F. Gallagher
Publisher:
ISBN:
Category :
Languages : en
Pages : 11
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A definition is given of Circular Probable Error (CEP) as used in papers produced by the US Seventh Air Force Operations Research Division. Other statistical parameters used in publications of that office are also discussed, as well as orientations used in analyses of navigational and weapon-delivery errors. A graphical method is presented for transforming from Standard Deviations on two orthogonal axes to CEP.
Author: Andrew S. Miller
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Rand Corporation
Publisher:
ISBN:
Category :
Languages : en
Pages : 35
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Author: Audrey E. Taub
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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A common parameter for describing the accuracy of a weapon is the circular probable error, generally refer red to as CEP. CEP is simply the bivariate analog of the probable error of a single variable and measures the radius of a mean centered circle which includes 50% of the bivariate probability mass. In the case of circular normal errors where the error variances are the same in both directions, CEP can be expressed in terms of the common standard deviation, and estimators are easily formulated and compared. In the case of elliptical normal errors, CEP cannot be expressed in closed form, and hence, estimators are less easily formulated. The problem addressed herein is the comparison of CEP estimators for the elliptical case based on some of the commonly used CEP approximations.
Author:
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ISBN:
Category :
Languages : en
Pages : 102
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Several approximation techniques are currently used to estimate CEP. These techniques are statistical in nature, based on the bivariate normal distribution of the crossrange and downrange miss distances of sample impacts of weapon systems. This thesis examines four of the most widely used approximation techniques (Grubbs-Patnaik/chi-square, Grubbs-Paternik/ Wilson-Hilferty, modified RAND-234, and correlated bivariate normal), compares their results with the results and computational effort required by established numerical integration techniques, determines the relative accuracy of each technique in various regimes of the bias/ellipticity parameter space. Included in this report is a tutorial on the subject of CEP meant to serve as a general introduction to how to calculate CEPs with some of the popular approximation techniques. In general it was found that each of the approximation techniques is best in some regime of the parameter space with the Grubbs-Patnaik/chi-square technique being the most reliable estimator. For fast calculations of CEP, the correlated bivariate normal and the exact method may not be feasible because both are computationally rigorous and require from 2 minutes to several hours of computer time (on a personal computer) to give an estimate of CEP.
Author: Gus W. Haggstrom
Publisher:
ISBN:
Category : Distribution (Probability theory).
Languages : en
Pages : 24
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Author: Campbell B. Read
Publisher: Wiley-Interscience
ISBN: 9780471854746
Category : Mathematics
Languages : en
Pages : 776
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Author: United States. Continental Army Command. Office of Special Weapons Development
Publisher:
ISBN:
Category :
Languages : en
Pages : 8
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