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Akbar Asgharzadeh

Akbar Asgharzadeh

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

Research

Title
Prediction Methods for Future Failure Times Based on Type‑II Right‑Censored Samples from New Pareto‑Type Distribution
Type
JournalPaper
Keywords
Best unbiased prediction, Conditional median prediction, Maximum likelihood prediction, Highest conditional density, Pivotal quantity, Prediction
Year
2021
Journal Journal of Statistical Theory and Practice
DOI
Researchers A. Sadatai Nik ، Akbar Asgharzadeh ، M. Z. Raqab

Abstract

In this paper, we consider the prediction problem of the future failure times based on observed data from two-parameter Pareto-type distribution under Type-II right-censored samples. Different point predictors including best unbiased, maximum likelihood and conditional median predictors of the future failure times are obtained. The corresponding prediction intervals using pivotal quantity, conditional argument and shortest-length based method are also developed. The so-obtained point predictors and prediction intervals are compared via experimental numerical simulation. The optimality criteria considered for comparison purposes are prediction bias and mean square prediction error for point predictors and average length and coverage probability for prediction intervals. Real-life data representing the duration of the failure times of mechanical components as reported by Murthy (in: Wiley series in probability and statistics, Wiley, Hoboken, 2004) are analyzed for illustrative purposes