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

Showkat Ahmad Lone (), Intekhab Alam () and Ahmadur Rahman ()
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Showkat Ahmad Lone: Saudi Electronic University
Intekhab Alam: St. Andrews Institute of Technology and Management
Ahmadur Rahman: Aligarh Muslim University

Annals of Data Science, 2023, vol. 10, issue 6, No 12, 1653-1665

Abstract: Abstract 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.

Keywords: Generalized exponential distribution; Geometric process; Asymptotic interval estimate; Asymptotic variance; Simulation study (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s40745-022-00397-6

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