In this paper, estimation for the modified Lindley distribution parameter is studied based on progressive Type II censored data. Maximum likelihood estimation, Pivotal estimation, and Bayesian estimation were calculated using the Lindley approximation and Markov chain Monte Carlo methods. Asymptotic, Pivotal, bootstrap, and Bayesian confidence intervals are provided. A Monte Carlo simulation study has been conducted to evaluate and compare the performance of different estimation methods. To further illustrate the introduced estimation methods, two real examples are provided.
fallah A. Inference for the Modified Lindley Distribution Based on Progressively Type-II Censored Data. JSS 2025; 19 (1) :137-159 URL: http://jss.irstat.ir/article-1-913-en.html