Inferences based on a balanced joint progressive type-II censoring scheme for Lindley distributed lifetimes

Abstract

The progressive censoring plan has achieved significant recognition in recent years. Its generalization, termed as the joint progressive censoring scheme, has also received numerous researchers’ attention. Mondal and Kundu proposed a balanced two sample type-II progressive censoring scheme, in which one practices life test in order to compare the lifetime of the products, produced from various lines in an identical experimental environment. This study concentrates on the estimation problem of lifetime Lindley distributions under the classical paradigm within the balanced two samples type-II progressive censoring framework. A simulation study has been conducted to evaluate the considered estimation procedures’ performance through the mean square error and the average length of the asymptotic confidence interval. The optimal censoring scheme is also formulated based on the criteria that rely on Fisher’s information. Finally, for an illustration purpose, a real-life application is presented.

Keywords:

• Lindley distribution
• progressive censoring scheme
• type-I censoring scheme
• type-II censoring scheme
• joint progressive censoring scheme
• optimum censoring scheme
• maximum likelihood estimation