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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
A note on computing Bayesian tolerance intervals in exponential distribution based on $k$-record values
Type
JournalPaper
Keywords
$k$-record data; Bayesian tolerance interval
Year
2019
Journal Novi Sad Journal of Mathematics
DOI
Researchers S.M.T.K. MirMostafaee ، Mehran Naghizadeh Qomi

Abstract

The problem of finding tolerance intervals receives much attention in researches and is widely applied in industry. A tolerance interval is a random interval that covers a proportion of the considered proportion with a specified confidence level. In this paper, we obtain equi-tailed two-sided Bayesian tolerance intervals based on $k$-record values. We compare the lengths of the proposed Bayesian tolerance intervals for different values of the parameters of the prior distribution in an illustrative example. Finally, some concluding remarks are given.