离散威布尔型分布参数的贝叶斯估计

Q3 Mathematics

Journal of Modern Applied Statistical Methods Pub Date : 2020-07-24 DOI:10.22237/jmasm/1604189160

S. Ashour, M. S. A. Muiftah

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引用次数: 1

摘要

Ahmad和Ahmad(2013)在知道形状参数的假设下研究了连续威布尔分布参数的贝叶斯估计。这里考虑离散Weibull Type I [DW(I)]分布参数的贝叶斯估计，并在两种不同的假设下得到:当形状参数已知时，以及当两个参数都是独立的随机变量时。使用Mathcad程序模拟考虑不同参数值和不同样本量的DW(I)分布数据，得到贝叶斯参数估计。将结果估计与Khan等人(1989)获得的ML和比例估计进行比较。

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Bayesian Estimation of the Parameters of Discrete Weibull Type (I) Distribution

Bayesian estimation of the continuous Weibull distribution parameters was studied by Ahmad and Ahmad (2013) under the assumption of knowing the shape parameter. Bayesian estimates are considered here of the parameters of the discrete Weibull Type I [DW(I)] distribution and are obtained under two different assumptions: when the shape parameter is known, and when both parameters are independent random variables. A Mathcad program is performed to simulate data from the DW(I) distribution considering different values of the parameters and different sample sizes, and to obtain Bayesian parameter estimates. The resulted estimates are compared to the ML and proportion estimates obtained by Khan et al. (1989).

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来源期刊

Journal of Modern Applied Statistical Methods STATISTICS & PROBABILITY-

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Journal of Modern Applied Statistical Methods is an independent, peer-reviewed, open access journal designed to provide an outlet for the scholarly works of applied nonparametric or parametric statisticians, data analysts, researchers, classical or modern psychometricians, and quantitative or qualitative methodologists/evaluators.