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S.M.T.K. MirMostafaee

S.M.T.K. MirMostafaee

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0003-2796-4427
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address: Department of Statistics‎, ‎Faculty of Mathematical Sciences‎, ‎University of Mazandaran‎, P.O‎. ‎Box 47416-1467‎, ‎Babolsar, ‎Iran‎
Phone: 01135302428

Research

Title
Estimation for the Poisson-Exponential Distribution Based on Progressively Type-II Censored Data with Uniform and Binomial Removals
Type
Presentation
Keywords
Importance Sampling, Information Matrix, Maximum Likelihood Estimation, Removal Pattern.
Year
2020
Researchers Firozeh Bastan ، S.M.T.K. MirMostafaee

Abstract

This paper includes a discussion regarding the estimation of the unknown parameters of the Poisson-exponential distribution based on progressively type II censored data with random removals. We assume that the removals are binomially distributed random variables once and they are discrete uniformly distributed random variables the other time. The problem of maximum likelihood and Bayesian estimation of the parameters is discussed. As it seems that the integrals related to the Bayes point estimates do not have closed forms, the importance sampling technique is employed to approximate them. A simulation study is presented to compare the numerical results of the censoring schemes with different removal patterns.