Morgenstern型二元Rayleigh分布的Bayes估计

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2021-07-12 DOI:10.15446/RCE.V44N2.87825

Mehdi Basikhasteh, Fazlollah Lak, S. Tahmasebi

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引用次数: 2

摘要

本文考虑基于二元排序集样本的贝叶斯估计，其中单元的排序是基于对与研究变量Y相关的易于精确测量的辅助变量X的测量。当(X, Y)服从Morgenstern型二元瑞利分布时，我们得到了研究变量Y的尺度参数的贝叶斯估计。考虑了基于双变量秩集抽样、极值秩集抽样和不等样本最大秩集抽样的贝叶斯估计。通过仿真研究说明了本文估计方法的准确性。最后，对一个实际数据集进行了分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Bayesian Estimation of Morgenstern Type Bivariate Rayleigh Distribution Using Some Types of Ranked Set Sampling

In this paper we consider Bayesian estimation based on bivariate ranked set sample, in which units are ranked based on measurements made on an easily and exactly measurable auxiliary variable X which is correlated with the study variable Y. We obtain Bayes estimator for the scale parameter of the study variate Y, when (X, Y ) follows a Morgenstern type bivariate Rayleigh distribution. The Bayes estimators are considered based on bivari-ate ranked set sampling, extreme ranked set sampling and maximum ranked set sampling with unequal sample. The accuracy of estimation methods in this paper is illustrated using simulation study. Finally, a real data set is analyzed.

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来源期刊

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.