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Akbar Asgharzadeh

Akbar Asgharzadeh

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address: Department of Statistics University of Mazandaran Babolsar, IRAN
Phone: 011-54302476

Research

Title
Prediction for Lindley Distribution Based on Type-II Right Cen- sored Samples
Type
JournalPaper
Keywords
Best unbiased prediction, Conditional median prediction, Highest conditional density, Maximum likelihood prediction, Prediction interval.
Year
2017
Journal Journal of the Iranian Statistical Society
DOI
Researchers Reza Valiollahi ، Akbar Asgharzadeh ، Tony Ng

Abstract

Lindley distribution has received considerable attention in the statistical literature due to its simplicity. In this paper, we consider the problem of predicting the failure times of experimental units that are censored in a right-censored experiment when the underlying lifetime is Lindley distributed. The maximum likelihood pre- dictor, the best unbiased predictor and the conditional median predictor are derived. Prediction intervals based on these predictors are considered. We further propose two resampling-based procedures for obtaining the prediction intervals. A numerical ex- ample is used to illustrate the methodology developed in this paper. Finally, a Monte Carlo simulation study is employed to evaluate the performance of different prediction methods.