Optimal Constant-Stress Accelerated Life Tests for the Marshall-Olkin Extended Lindley Distribution under Complete Sampling

This study introduces an extended Lindley distribution utilizing a new family of Marshall-Olkin distributions, providing a more flexible framework for modeling lifetime data. The distribution is examined within the context of complete sampling for k-level constant stress accelerated life testing. A reliability analysis of the proposed model and a discussion on parameter estimation using maximum likelihood estimation are presented. Asymptotic confidence intervals for the parameters are derived through the Fisher information matrix. Bayesian estimation procedures and the Markov Chain Monte Carlo (MCMC) approach are also explored. Real data is analyzed to assess the model’s fit, followed by simulation studies to illustrate its performance. The paper concludes with a summary of findings and implications for future research.