基于渐进式ii型截尾样本的Dagum分布应力-强度可靠性估计

Q4 Mathematics

Model Assisted Statistics and Applications Pub Date : 2022-05-23 DOI:10.3233/mas-220014

Ritu Kumari, Sangeeta Arora, K. Mahajan

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引用次数: 1

摘要

本文对渐进式ii型截尾试样下Dagum分布的应力强度可靠度(η)进行了经典估计和贝叶斯估计。η的极大似然估计量(MLEs)也与渐近置信区间、bootstrap-p (boot-p)和bootstrap-t (boot-t)置信区间一起得到。给出了基于信息先验和非信息先验的最大后验密度(HPD)可信区间η的贝叶斯估计。在贝叶斯估计中考虑了对称和非对称损失函数。通过蒙特卡罗仿真研究验证了估计器的性能。为了说明目的，考虑了现实生活中的数据集。

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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Estimation of stress-strength reliability for Dagum distribution based on progressive type-II censored sample

In this paper, classical as well as Bayesian estimation of stress strength reliability (η) of Dagum distribution under progressive type-II censored sample is done. Maximum likelihood estimators (MLEs) of η are also obtained along with asymptotic, bootstrap-p (boot-p) and bootstrap-t (boot-t) confidence intervals. Bayes estimators of η along with highest posterior density (HPD) credible intervals based on informative and non-informative priors are also obtained. Symmetric as well as asymmetric loss functions are considered for the Bayesian estimation. Monte Carlo simulation study is carried out to check the performance of estimators. Real life data sets are considered for illustration purpose.

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来源期刊

Model Assisted Statistics and Applications Mathematics-Applied Mathematics

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Model Assisted Statistics and Applications is a peer reviewed international journal. Model Assisted Statistics means an improvement of inference and analysis by use of correlated information, or an underlying theoretical or design model. This might be the design, adjustment, estimation, or analytical phase of statistical project. This information may be survey generated or coming from an independent source. Original papers in the field of sampling theory, econometrics, time-series, design of experiments, and multivariate analysis will be preferred. Papers of both applied and theoretical topics are acceptable.