A Novel Bayesian Method for Calculating Circular Error Probability with Systematic-Biased Prior Information
Joint Authors
Duan, Xiaojun
Liu, Bowen
Yan, Liang
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Circular Error Probability (CEP) is defined as the radius of a circle where the probability of an impact point being inside is 50%, which is also widely used as a measure of the guidance weapon systems’ precision.
In order to achieve a fusion of various test information, Bayesian methods and improved Bayesian methods have been extensively studied in calculating the CEP.
Nevertheless, these methods could fail when there exists unknown systematic bias in the prior information.
Therefore, a novel method called Bayesian estimation based on representative points (BERP) with an optimization procedure for determining the optimal number of representative points is proposed in this paper.
Explicit theoretical analyses demonstrate that the BERP outperforms the classical Bayesian methods when fusing the slightly biased prior information and also give the bound of the systematic bias for stopping using the heavily biased prior information.
Moreover, when the systematic bias is within the bound, simulation results indicate that our method is credible and outperforms the classical Bayesian method in calculating the CEP of guidance weapon systems.
American Psychological Association (APA)
Liu, Bowen& Duan, Xiaojun& Yan, Liang. 2018. A Novel Bayesian Method for Calculating Circular Error Probability with Systematic-Biased Prior Information. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1208123
Modern Language Association (MLA)
Liu, Bowen…[et al.]. A Novel Bayesian Method for Calculating Circular Error Probability with Systematic-Biased Prior Information. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1208123
American Medical Association (AMA)
Liu, Bowen& Duan, Xiaojun& Yan, Liang. A Novel Bayesian Method for Calculating Circular Error Probability with Systematic-Biased Prior Information. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1208123
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208123