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: In this article, it was shown that if a self-decomposable probability distribution is composed of selfdecompositionable elements, then the exponential dispersion model generated by the distribution shares the same property.
12 citations
12 citations
TL;DR: In this article, the sequential procedure for testing up to k upper outliers proposed by Kimber (1982) for one-parameter exponential distribution is modified to a two-dimensional exponential distribution, and the null distributions of some test statistics for an upper outlier-pair in a complete or censored sample from a 2D exponential distribution are given.
Abstract: The sequential procedure for testing up to k upper outliers proposed by Kimber (1982) for one-parameter exponential distribution is modified to a two-parameter exponential distribution. Further null distributions of some test statistics for an upper outlier-pair in a complete or censored sample from a two-parameter exponential distribution are given. Percentage points of the statistic T1 are tabulated.
12 citations
TL;DR: In this paper, the problem of estimating location and scale parameters of an exponential distribution is considered when location parameter is bounded above by a known constant, i.e., when the distribution is a Gaussian distribution.
Abstract: The problem of estimating location and scale parameters of an exponential distribution is considered when location parameter is bounded above by a known constant.
12 citations
TL;DR: In this paper, the decision boundaries for sequential probability ratio tests for simple hypotheses and alternatives on the mean of the exponential distribution of the probability distribution were derived for life testing and statistical studies of radioactive decay.
Abstract: In this paper, methods introduced earlier by the author [1] are used to obtain simple, accurate formulas for the decision boundaries for sequential probability ratio tests for simple hypotheses and alternatives on the mean $\theta$ of the exponential distribution $\theta^{-1} \exp(-u/\theta)$. Examples are provided to indicate the accuracy and the degree of complexity of the results. It is hoped that the results given here will find applications in life testing and statistical studies of radioactive decay.
12 citations