CEP Calculation Based on Weighted Bayesian Mixture Model

CEP is an important accuracy index in the test evaluation for guidance weapon systems. As for the samples origin from diverse populations, which is a general case in the practice, traditional method with one population is inaccurate to give estimate directly. A weighted method considering the credib...

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Bibliographic Details
Published in:Mathematical problems in engineering Vol. 2017; no. 2017; pp. 1 - 7
Main Authors: Peng, Xiaojun, Li, Chang, Duan, Xiaojun, Zhang, Shengdi, Zhang, Qiang
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2017
Hindawi
John Wiley & Sons, Inc
Subjects:
Accuracy
Algorithms
Bayesian analysis
Coordinate transformations
Economic models
Guided weapons
Hypotheses
Hypothesis testing
Mathematical models
Mixtures
Normal distribution
Parameter estimation
Population
Populations
Probabilistic models
Samples
Statistical analysis
Statistical methods
Upper bounds
Weapon systems
ISSN:1024-123X, 1563-5147
Online Access:Get full text
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Summary:CEP is an important accuracy index in the test evaluation for guidance weapon systems. As for the samples origin from diverse populations, which is a general case in the practice, traditional method with one population is inaccurate to give estimate directly. A weighted method considering the credibility of the prior information is proposed for Bayesian estimation algorithm and the weighted estimation of normal distribution parameters is provided. And the statistical diversity between the weighted and classical methods is quantified, and upper bound of the calculation errors caused by prior distortion is deduced for mixture of finite normal distributions. Taking the estimation of the dispersion of the guided weapon impact points as an example, the conclusion is drawn that our method is credible.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2017/8070786