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
On the order statistics of exponentiated moment exponential distribution and associated inference
Type
JournalPaper
Keywords
Best linear unbiased estimation, exponentiated moment exponential (EME) distribution, order statistics, prediction, product moments, single moments
Year
2022
Journal JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
DOI
Researchers Zuber Akhter ، S.M.T.K. MirMostafaee ، Ehsan Ormoz

Abstract

Explicit algebraic expressions for both single and product moments of order statistics from the exponentiated moment exponential (EME) distribution are derived. By using these expressions, we have computed the means, variances and covariances of order statistics for n = 1(1)10 and for arbitrarily chosen parameter values. Further, these moments are used to determine the best linear unbiased estimators (BLUEs) and best linear invariant estimators (BLIEs) of the location and scale parameters based on complete as well as Type-II right censored samples. Prediction of unobserved order statistics in Type-II right censored samples is also discussed. A simulation study and a real data example are presented for the sake of comparison and illustration. The concluding remarks are given at the end.