Estimation Methods For The Discrete Poisson-lindleydistribution

M. E. GHITANY; D. K. AL-MUTAIRI

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Estimation Methods For The Discrete Poisson-lindleydistribution

机译：离散Poisson-lindley分布的估计方法

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摘要

In this paper, we show that the method of moments and maximum likelihood estimators of the parameter of the discrete Poisson-Lindley distribution are consistent and asymptotically normal. The asymptotic variances of the two estimators are almost equal, indicating that the two estimators are almost equally efficient. Also, a simulation study is presented to compare the two estimators. Finally, the two estimators, their standard errors, and the confidence intervals are compared for two published data sets.

机译：在本文中，我们证明了离散Poisson-Lindley分布参数的矩和最大似然估计方法是一致且渐近正态的。两个估计量的渐近方差几乎相等，表明两个估计量的效率几乎相同。此外，还提供了一个仿真研究来比较这两个估计量。最后，针对两个已发布的数据集比较了两个估计量，它们的标准误和置信区间。

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来源
《Journal of statistical computation and simulation》 |2009年第2期|p.1-9|共9页
作者
M. E. GHITANY; D. K. AL-MUTAIRI;
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作者单位

Department of Statistics and Operations Research, Faculty of Science, Kuwait University, PO Box 5969, Safat 13060, Kuwait;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
discrete poisson-lindley distribution; method of moments; maximum likelihood; bias; mean-square error; consistency; asymptotic normality; asymptotic relative efficiency; mixture models;

机译：离散Poisson-Lindley分布;矩量法;最大似然;偏差;均方误差;一致性;渐近正态性;渐近相对效率;混合模型;

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Estimation Methods For The Discrete Poisson-lindleydistribution

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