Inference on Nadarajah–Haghighi distribution with constant stress partially accelerated life tests under progressive type-II censoring
Sanku Dey,
Liang Wang and
Mazen Nassar
Journal of Applied Statistics, 2022, vol. 49, issue 11, 2891-2912
Abstract:
This paper presents methods of estimation of the parameters and acceleration factor for Nadarajah–Haghighi distribution based on constant-stress partially accelerated life tests. Based on progressive Type-II censoring, Maximum likelihood and Bayes estimates of the model parameters and acceleration factor are established, respectively. In addition, approximate confidence interval are constructed via asymptotic variance and covariance matrix, and Bayesian credible intervals are obtained based on importance sampling procedure. For comparison purpose, alternative bootstrap confidence intervals for unknown parameters and acceleration factor are also presented. Finally, extensive simulation studies are conducted for investigating the performance of the our results, and two data sets are analyzed to show the applicabilities of the proposed methods.
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:taf:japsta:v:49:y:2022:i:11:p:2891-2912
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DOI: 10.1080/02664763.2021.1928014
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