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.
Papers published on a yearly basis
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TL;DR: In this paper, the grey exponential law of a discrete function is defined, i.e., for a fixed increment of the components, if the entropy of the function approaches to its maximum entropy or the class ratio is close to a constant that is not equal to 1.
3 citations
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TL;DR: In this article, a behavior of the moment generating function based estimator for the natural parameter θ of a natural exponential family on R is studied and necessary and sufficient conditions for the existence and uniqueness of θn,s with probability 1 are presented.
3 citations
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TL;DR: In this paper, the authors use maximum likelihood and Bayes procedures to derive the point and interval estimates of the two parameters of the generalized exponential distribution, and compare the performance of the Bayes estimates under different conditions.
Abstract: The paper discusses the statistical inference of the generalized exponential distribution using upper record values. We use maximum likelihood and Bayes procedures to derive the point and interval estimates of the two parameters of the distribution. Bayesian prediction intervals of the future record values are derived. An illustrative example is presented to test how the generalized exponential distribution fits a set of real data. Also, a simulation study is performed to compare the performance of the Bayes estimates under different conditions.
3 citations
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TL;DR: The y-truncation approach can also serve in its own right as a means of creating a rich new class of bounded probability distributions when transformations of truncated distributions are included.
3 citations