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.
Fallah, A., & Zaman, R. (2024). Estimation and prediction from progressively censored data using proportional hazards model. Journal of Statistical Modelling: Theory and Applications, 5(1), 1-14. doi: 10.22034/jsmta.2024.21756.1145
MLA
Adeleh Fallah; Roshanak Zaman. "Estimation and prediction from progressively censored data using proportional hazards model", Journal of Statistical Modelling: Theory and Applications, 5, 1, 2024, 1-14. doi: 10.22034/jsmta.2024.21756.1145
HARVARD
Fallah, A., Zaman, R. (2024). 'Estimation and prediction from progressively censored data using proportional hazards model', Journal of Statistical Modelling: Theory and Applications, 5(1), pp. 1-14. doi: 10.22034/jsmta.2024.21756.1145
VANCOUVER
Fallah, A., Zaman, R. Estimation and prediction from progressively censored data using proportional hazards model. Journal of Statistical Modelling: Theory and Applications, 2024; 5(1): 1-14. doi: 10.22034/jsmta.2024.21756.1145