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O. Hryniewicz, "Bayesian Estimation with Imprecise Information described by Shadowed Sets", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 147, 2014. doi:10.4203/ccp.106.147

Keywords: Bayesian estimators, fuzzy sets, imprecise priors, shadowed sets..

Summary

This paper deals with the problem of the Bayesian estimation of the parameters of probability distributions when the prior information about the possible values of these parameters is imprecise. When fuzzy sets are used for the calculation of fuzzy Bayes estimators required computational procedures may be very demanding. In order to avoid these problems we propose to use optimal approximations of fuzzy numbers by the shadowed sets introduced by Pedrycz. The use of these approximations dramatically simplifies all required computations.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 147 Bayesian Estimation with Imprecise Information described by Shadowed Sets O. Hryniewicz Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland doi:10.4203/ccp.106.147 purchase the full-text of this paper Full Bibliographic Reference for this paper O. Hryniewicz, "Bayesian Estimation with Imprecise Information described by Shadowed Sets", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 147, 2014. doi:10.4203/ccp.106.147 Keywords: Bayesian estimators, fuzzy sets, imprecise priors, shadowed sets.. Summary This paper deals with the problem of the Bayesian estimation of the parameters of probability distributions when the prior information about the possible values of these parameters is imprecise. When fuzzy sets are used for the calculation of fuzzy Bayes estimators required computational procedures may be very demanding. In order to avoid these problems we propose to use optimal approximations of fuzzy numbers by the shadowed sets introduced by Pedrycz. The use of these approximations dramatically simplifies all required computations. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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