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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01 Jan 2016
5 citations
06 May 2015
5 citations
TL;DR: A new five-parameter lifetime distribution called beta generalized linear exponential distribution (BGLED) is introduced that includes at least 17 popular sub-models as special cases such as the beta linear exponential, the beta generalized exponential, and the exponentiated generalized linear distributions.
Abstract: In this paper, a new five-parameter lifetime distribution called beta generalized linear exponential distribution (BGLED) is introduced. It includes at least 17 popular sub-models as special cases such as the beta linear exponential, the beta generalized exponential, and the exponentiated generalized linear distributions. Mathematical and statistical properties of the proposed distribution are discussed in details. In particular, explicit expression for the density function, moments, asymptotics distributions for sample extreme statistics, and other statistical measures are obtained. The estimation of the parameters by the method of maximum-likelihood is discussed and the finite sample properties of the maximum-likelihood estimators (MLEs) are investigated numerically. A real data set is used to demonstrate its superior performance fit over several existing popular lifetime models.
5 citations
TL;DR: In this paper, the boundary behavior of VF is studied and necessary and sufficient conditions on a point m of ∂MF are given so that VF admits a continuous extension VF(m-) to the point m-.
5 citations
TL;DR: For the bivariate exponential model of Freund (1961, Journal of the American Statistical Association 56, 971-977), tests of symmetry and independence are derived and the small sample distributions of the test statistics are found.
5 citations