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

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.