2024 : 7 : 23
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
Another Exponentiated Shanker Distribution‎: ‎Properties‎, ‎Bayesian Estimation Using a Markov Chain Monte Carlo Method and Application
Type
Presentation
Keywords
Bayesian estimation‎, ‎Maximum likelihood estimation‎, ‎Markov chain Monte Carlo‎.
Year
2023
Researchers S.M.T.K. MirMostafaee

Abstract

In this paper‎, ‎a new lifetime two parameter distribution‎, ‎which is an extension of the Shanker distribution‎, ‎is proposed‎. ‎The shapes of its density and hazard function are discussed and an expression for the r-th moment of the new model is derived‎. ‎The maximum likelihood and Bayesian estimation of the parameters are studied‎. ‎As the Bayes estimates of the parameters under the squared error loss function seem to have no closed forms‎, ‎a Markov chain Monte Carlo (MCMC) method is employed to approximate these estimates‎. ‎A simulation study is conducted to assess the estimators‎. ‎The paper ends with an application and several remarks‎.