Properties and applications of two-tailed quasi-Lindley distribution

Abstract

Here we consider two-parameter and three-parameter versions of the two-tailed quasi-Lindley distribution and investigate their important properties. An attempt has been made to estimate its parameters by the method of maximum likelihood, along with a brief discussion on the existence of the estimators. Further, the distribution is fitted to certain real-life data sets to illustrate the utility of the proposed models. A simulation study is carried out to assess the performance of likelihood estimators of the parameters of the distribution.

Keywords:

• Laplace distribution
• maximum likelihood estimation
• model selection
• order statistics
• Rényi entropy
• simulation

Acknowledgments

The authors wish to express their sincere gratitude to the Editor in Chief, the Associate Editor and the anonymous referees for their valuable comments on an earlier version of the manuscript that greatly improved the quality of presentation of the results.

Disclosure statement

No potential conflict of interest was reported by the author(s).