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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
Bayesian inference for the Topp–Leone distribution based on lower k-record values
Type
JournalPaper
Keywords
,General entropy loss function, Linear-exponential loss function Predictive density function,Reconstruction,Stress-strength parameter
Year
2016
Journal JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
DOI
Researchers S.M.T.K. MirMostafaee ، Mahdi Mahdizadeh ، Milad Aminzadeh

Abstract

In this paper, the lower k-record values coming from the Topp–Leone distribution are used to construct Bayesian point and interval estimators for the shape parameter, the survival function and the reversed hazard rate function. The Bayes estimators are obtained under symmetric and asymmetric loss functions. We study the problem of predicting future k-records, and reconstructing past unobserved k-records. Bayesian estimation of the stress-strength parameter is also discussed. Finally, a simulation study and a real data example are presented for the purpose of illustration and comparison of the suggested point and interval estimators.