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Somayeh Ghafouri

Somayeh Ghafouri

Academic rank: Assistant Professor
ORCID: https://orcid.org/0000-0002-5966-8406
Education: PhD.
ScopusId: 57191919549
Faculty: Science
Address: Arak University
Phone:

Research

Title
Reliability analysis of Kumaraswamy distribution under progressive first-failure censoring
Type
JournalPaper
Keywords
Bayes estimation; EM algorithm; Kumaraswamy distribution; Maximum likelihood method; Progressive first-failure censoring
Year
2021
Journal Journal of Statistical Modelling: Theory and Applications
DOI
Researchers Somayeh Ghafouri ، Manoj Kumar Rastogi

Abstract

In this article, we consider the estimation of the parameters and reliability characteristics of Kumaraswamy distribution using progressive first failure censored samples. First, we derive the maximum likelihood estimates using an expectation- maximization algorithm and compute the observed information of the parameters that can be used for constructing asymptotic confidence intervals. We also compute the Bayes estimates of the parameters using Lindley approximation as well as the Metropolis-Hastings algorithm. Furthermore, we derive the highest posterior density credible intervals. Simulation studies are conducted to evaluate the performance of the point and interval estimators. Finally, two examples of real data sets are provided to illustrate the proposed procedures.