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: Two multivariate exponential power Lévy processes are introduced in this paper via compound Poisson representations, which are so termed because their characteristic exponents are the linear combination of certain positive or negative power functions.
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TL;DR: In this paper, the upper bound to the uniformly minimum variance-unbiased estimator of the reliability function of the exponential life distributions was obtained, which is the same upper bound as in this paper.
Abstract: We obtain the upper bound to the uniformlyminimumvarianceunbiased estimator of the reliability function of the exponential life distributions.
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01 Jan 1981TL;DR: In this article, a new family of discrete distributions is proposed, named simple meta-Poisson, whose unique parameter is the quadratic mean, and the potential usefulness of this distribution is confirmed by its fit compared with the fits of various two-parameters distributions.
Abstract: Starting from the expected value of a certain transformation of the Poisson random variable, a new family of discrete distributions is proposed. Special attention is given to particular members of the family. In this way a discrete distribution is obtained, named “simple meta-Poisson,” whose unique parameter is the quadratic mean. The potential usefulness of the simple meta-Poisson distribution is confirmed by its fit compared with the fits of various two-parameters distributions.
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TL;DR: Bayesian hypothesis tests of independence and symmetry for four bivariate exponential models have been derived through Bayes factor B and simulation study has been carried out to examine the power of suggested tests.
Abstract: In this paper Bayesian hypothesis tests through Bayes factor B have been obtained. Bayesian hypothesis tests of independence and symmetry for four bivariate exponential models have been derived. Simulation study has been carried out to examine the power of suggested tests.