Topic
Natural exponential family
About: Natural exponential family is a research topic. Over the lifetime, 1973 publications have been published within this topic receiving 60189 citations. The topic is also known as: NEF.
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TL;DR: When the prior message is known at time t 0, the authors gives the Bayes estimaton of he P i and also the multi-Bayes estimation of it with zero-failure data (t i,n i) Complying to the exponential distribution
Abstract: When the prior message is known at time t 0,we give the Bayes estimaton of he P i and also the multi-Bayes estimation of it with zero-failure data (t i,n i) Complying to the exponential distribution
1 citations
01 Nov 2002
1 citations
01 Jan 1990
TL;DR: In this article, the regular exponential family with polynomial variance function (PVF-this article) is discussed and the results for all seven cases of polynomially variance functions of third degree are given.
Abstract: In this paper,we discuss the regular exponential family(REF),a natural exponentialfamily with minimum dimension and with the mean function m=E_θX taken as a new parameterWepoint out the importance of the REF with polynomial variance function(PVF-REF)When m is asingle factor of PVF and the left end of its defined domain is zero,the corresponding REF is givenas the single-side lattice distribution family;other PVF-REFs can be obtained by a limit processAs an illustration,the results for all seven cases of polynomial variance functions of third degreeare given
1 citations
TL;DR: In this paper, two generalized hypergeometric distributions are identified as mixed binomial distributions by conditional specification, and the two distributions show profiles that are not possible in other Mixed Binomial distributions such as the beta-binomial distribution.
Abstract: Two generalized hypergeometric distributions are identified as mixed binomial distributions by conditional specification. Both distributions show profiles that are not possible in other mixed binomial distributions such as the beta-binomial distribution. A simulation study illustrates that beta-binomial distribution is more precise to fit data with usual profiles but the two distributions presented can improve the capability of fitting data in other less common scenes.
1 citations