Statistical Inference of Burr–Hatke Exponential Distribution with Partially Accelerated Life Test under Progressively Type II Censoring

Xuanyi Gao and Wenhao Gui ()
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Xuanyi Gao: School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China
Wenhao Gui: School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, China

Mathematics, 2023, vol. 11, issue 13, 1-21

Abstract: In this paper, estimations of the parameter and acceleration factor of the Burr–Hatke exponential distribution in partially accelerated life tests under progressively type II censoring are investigated. By using typical maximum likelihood methods and the Bayesian method, point estimations of the distribution parameter and the acceleration factor are obtained. Based on the asymptotic normality and Delta method, approximate confidence intervals are established using the Fisher information matrix. The confidence intervals of the percentile bootstrap method are also evaluated. Comprehensive simulation tests are conducted to evaluate the estimations effects. A real dataset is studied by constructing a Burr–Hatke exponential model and analyzing the practicality and utility of parameter estimation.

Keywords: Burr–Hatke exponential distribution; progressive type II censoring; accelerated life test; maximum likelihood estimation; Bayes estimation; bootstrap; Monte Carlo simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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