Statistical Analysis Under Geometric Process in Accelerated Life Testing Plans for Generalized Exponential Distribution

被引：0
|
作者：
Lone S.A. [1 ]
Alam I. [2 ]
Rahman A. [3 ]
机构：
[1] Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Jeddah-M, Riyadh
[2] Department of Management, St. Andrews Institute of Technology and Management, Haryana, Gurugram
[3] Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh
来源：
Annals of Data Science | 2023年 / 10卷 / 06期
关键词：
Asymptotic interval estimate; Asymptotic variance; Generalized exponential distribution; Geometric process; Simulation study;
D O I：
10.1007/s40745-022-00397-6
中图分类号：
学科分类号：
摘要：
The geometric process (GP) is used to conduct a statistical analysis of accelerated life testing under constant stress using type-I censored data for the Generalized Exponential failure distribution. The lifespan of test items forms a GP as stress levels increases. The technique of maximum likelihood estimation is used to estimate the parameters. To determine the asymptotic variance of maximum likelihood estimators, the Fisher information matrix is constructed. This asymptotic variance is then used to provide asymptotic interval estimates for the distribution parameters. Finally, a simulation approach is used to demonstrate the parameters' statistical properties and confidence ranges. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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页码：1653 / 1665
页数：12
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