期刊
JOURNAL OF APPLIED STATISTICS
卷 49, 期 11, 页码 2891-2912出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/02664763.2021.1928014
关键词
Maximum likelihood estimator; bootstrap confidence intervals; credible intervals; Bayes estimates
资金
- National Natural Science Foundation of China [12061091]
- China Postdoctoral Science Foundation [2019M650260]
This paper presents methods of estimation of parameters and acceleration factor for Nadarajah-Haghighi distribution based on constant-stress partially accelerated life tests, and conducts simulation studies and data analysis to confirm their effectiveness.
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.
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