Estimation and prediction from progressively censored data using proportional hazards model
نویسندگان
1 Department of Statistics, Payame Noor University, Tehran, Iran
2 Department of Statistics, Payame Noor University, Tehran, Iran
doi
10.22034/jsmta.2024.21756.1145چکیده
In this paper, based on progressively Type-II censored samples, the maximum likelihood and Bayes estimators are derived for some lifetime parameters. In the Bayesian framework, the point estimations of unknown parameters under both symmetric and asymmetric loss functions are discussed. The Bayesian estimations have been obtained using the conjugate prior and discrete priors for the shape and scale parameters, respectively. We also provide Bayes prediction intervals for the times to failure of units censored in multiple stages in a progressively censored sample. Finally, two numerical examples are presented to illustrate the results.