Reliability estimation in Lindley distribution with progressively type II right censored sample

In this paper we discuss one parameter Lindley distribution. It is suggested that it may serve as a useful reliability model. The model properties and reliability measures are derived and studied in detail. For the estimation purposes of the parameter and other reliability characteristics maximum likelihood and Bayes approaches are used. Interval estimation and coverage probability for the parameter are obtained based on maximum likelihood estimation. Monte Carlo simulation study is conducted to compare the performance of the various estimates developed. In view of cost and time constraints, progressively Type II censored sample data are used in estimation. A real data example is given for illustration.

► We consider Lindley distribution as a reliability model. ► Maximum likelihood and Bayes estimates are derived. ► Progressively Type II censored sample information is used in estimation. ► The estimates are compared through simulation study. ► A real data example is given for illustration.