2024 : 7 : 19
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
Parameter estimation for the exponential-Poisson distribution based on ranked set samples
Type
JournalPaper
Keywords
Loss function, maximum ranked set sampling with unequal samples, Metropolis-Hastings within Gibbs algorithm, ranked set samples
Year
2021
Journal COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
DOI
Researchers Abolfazl Joukar ، Masoumeh Ramezani ، S.M.T.K. MirMostafaee

Abstract

In this paper, we discuss the point and interval estimation of the parameters of the exponential-Poisson distribution based on simple random samples, ranked set samples and maximum ranked set sampling procedure with unequal sample sizes. The maximum likelihood and Bayesian approaches are considered to derive the estimators. It seems that the Bayesian point estimates cannot be expressed in explicit forms, thus we propose the Metropolis-Hastings within Gibbs algorithm to approximate these estimates. A simulation study, as well as an example, are presented to evaluate and compare the proposed estimators. The paper ends with some remarks