A new two sample type-II progressive censoring scheme

Abstract

In this paper we introduce a new type-II progressive censoring scheme for two samples. It is observed that the proposed censoring scheme is analytically more tractable than the existing joint progressive type-II censoring scheme proposed by Rasouli and Balakrishnan. The maximum likelihood estimators of the unknown parameters are obtained and their exact distributions are derived. Based on the exact distributions of the maximum likelihood estimators exact confidence intervals are also constructed. For comparison purposes we have used bootstrap confidence intervals also. One data analysis has been performed for illustrative purposes. Finally we propose some open problems.

Keywords:

• bootstrap confidence interval
• exact confidence interval
• joint progressive censoring scheme
• maximum likelihood estimator
• progressive censoring scheme
• type-I censoring scheme
• type-II censoring scheme

Mathematics Subject Classifications:

• 62N01
• 62N02
• 62F10

Acknowledgements

The authors would like to thank two unknown reviewers for their constructive comments.