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Comparison of estimators and predictors based on modified weibull records: Bayesian and non-Bayesian approaches.

Authors :
Kotb, Mohammed S.
Raqab, Mohammad Z.
Source :
Communications in Statistics: Simulation & Computation. 2023, Vol. 52 Issue 6, p2518-2541. 24p.
Publication Year :
2023

Abstract

Based on record statistics from three-parameter modified Weibull distribution, we consider the problem of estimating the unknown parameters using Bayesian and non-Bayesian approaches. Under a continuous-discrete joint prior distribution, Bayesian estimators and confidence intervals for the shape and scale parameters involved in the underlying model are obtained. In addition, maximum likelihood prediction and Bayesian prediction (either point or interval) of future record statistics based on an informative set of records are developed. Data analyses involving records extracted from a machine used to measure burr and times to breakdown of an insulating fluid between electrodes have been performed. Finally, Monte Carlo simulations are performed to compare the methods developed here. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03610918
Volume :
52
Issue :
6
Database :
Academic Search Index
Journal :
Communications in Statistics: Simulation & Computation
Publication Type :
Academic Journal
Accession number :
164440125
Full Text :
https://doi.org/10.1080/03610918.2021.1908560