基于双秩集样本的参数估计及其在威布尔分布中的应用

Q3 Mathematics

Journal of Modern Applied Statistical Methods Pub Date : 2022-01-06 DOI:10.22237/jmasm/1619482260

M. Sabry, H. Muhammed, Mostafa Shaaban, Abd El Hady Nabih

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引用次数: 0

摘要

本文介绍了基于双秩集抽样(DRSS)方案的参数估计的似然函数。提出的似然函数用于威布尔分布参数的估计。对极大似然估计量进行了研究，并与基于简单随机抽样和排序集抽样的极大似然估计量进行了比较。进行了蒙特卡罗仿真，比较了不同方案的绝对相对偏差、均方误差和效率。结果表明，在估计威布尔分布(WD)的两个参数时，基于DRSS的MLE比基于SRS和RSS的MLE更有效。

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Parameter Estimation Based on Double Ranked Set Samples with Applications to Weibull Distribution

In this paper, the likelihood function for parameter estimation based on double ranked set sampling (DRSS) schemes is introduced. The proposed likelihood function is used for the estimation of the Weibull distribution parameters. The maximum likelihood estimators (MLEs) are investigated and compared to the corresponding ones based on simple random sampling (SRS) and ranked set sampling (RSS) schemes. A Monte Carlo simulation is conducted and the absolute relative biases, mean square errors, and efficiencies are compared for the different schemes. It is found that, the MLEs based on DRSS is more efficient than MLE using SRS and RSS for estimating the two parameters of the Weibull distribution (WD).

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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.