Generalized Log-Lindley distribution and its applications in stochastic comparison

Abstract

In this paper, a new distribution, generalized Log-Lindley distribution, which supports on (0, 1) is introduced as an alternative to the beta distribution. We show the new proposed distribution is also an extension of Log-Lindley distribution. Stochastic comparison for two parallel systems with generalized Log-Lindley distributed components is considered. Our results extend some existing results in the literature.

Keywords:

• Log-lindley distribution
• generalized log-lindley distribution
• stochastic comparison
• parallel system

Acknowledgement

We express our deeply thanks to two anonymous referees for very carefully reading and helpful suggestions which improved the paper greatly. We are also grateful to the chief editor for kindly help which makes us possible to submit this new version.

Additional information

Funding

Shaochen WANG is supported by the Fundamental Research Funds for the Central Universities (Grant No. 2017BQ108) and the Error! Hyperlink reference not valid. (Grant No. 2018A030310358).