DYNAMIC BAYESIAN INFORMATION MEASURES

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EBRAHIMI NADER; KIRMANI S.N.U.A.; SOUFI E.S.

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Journal: JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI) Year:2006 | Volume:3 | Issue:2 Page(s): 113-137

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Title

DYNAMIC BAYESIAN INFORMATION MEASURES

Author(s)

EBRAHIMI NADER | KIRMANI S.N.U.A. | SOUFI E.S. | Issue Writer Certificate

Keywords

BAYESIAN INFORMATIONQ4

ENTROPYQ4

EXPONENTIALQ4

GAMMA PRIORQ4

KULLBACK-LEIBLER INFORMATIONQ4

MUTUAL INFORMATIONQ4

RELIABILITYQ4

RESIDUAL LIFEQ4

WEIBULLQ4

Abstract

This paper introduces measures of information for Bayesian analysis when the support of data distribution is truncated progressively. The focus is on the lifetime distributions where the support is truncated at the current age t ³ 0. Notions of uncertainty and information are presented and operationalized by Shannon entropy, Kullback-Leibler information, and mutual information. Dynamic updatings of prior distribution of the parameter of lifetime distribution based on observing a survival at age t and observing a failure or the residual lifetime beyond t are presented. Dynamic measures of information provided by the data about the parameter of lifetime distribution, and dynamic predictive information are introduced. These measures are applied to two well-known lifetime models. The paper concludes with some remarks on use of generalized uncertainty and information measures, and some topics for further research.

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APA: Copy

EBRAHIMI, NADER, KIRMANI, S.N.U.A., & SOUFI, E.S.. (2006). DYNAMIC BAYESIAN INFORMATION MEASURES. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), 3(2), 113-137. SID. https://sid.ir/paper/129936/en

Vancouver: Copy

EBRAHIMI NADER, KIRMANI S.N.U.A., SOUFI E.S.. DYNAMIC BAYESIAN INFORMATION MEASURES. JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI)[Internet]. 2006;3(2):113-137. Available from: https://sid.ir/paper/129936/en

IEEE: Copy

NADER EBRAHIMI, S.N.U.A. KIRMANI, and E.S. SOUFI, “DYNAMIC BAYESIAN INFORMATION MEASURES,” JOURNAL OF STATISTICAL RESEARCH OF IRAN (JSRI), vol. 3, no. 2, pp. 113–137, 2006, [Online]. Available: https://sid.ir/paper/129936/en

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