On a new generalized lindley distribution: Properties, estimation and applications

PLoS One. 2021 Feb 24;16(2):e0244328. doi: 10.1371/journal.pone.0244328. eCollection 2021.

Abstract

In this study, an extension of the generalized Lindley distribution using the Marshall-Olkin method and its own sub-models is presented. This new model for modelling survival and lifetime data is flexible. Several statistical properties and characterizations of the subject distribution along with its reliability analysis are presented. Statistical inference for the new family such as the Maximum likelihood estimators and the asymptotic variance covariance matrix of the unknown parameters are discussed. A simulation study is considered to compare the efficiency of the different estimators based on mean square error criterion. Finally, a real data set is analyzed to show the flexibility of our proposed model compared with the fit attained by some other competitive distributions.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Computer Simulation*
  • Humans
  • Models, Statistical*
  • Research Design

Grants and funding

This project was funded by the Deanship of Scientific Research (DSR), King Abdul-Aziz University, Jeddah under grant no. (RG-12-130-41). The authors would like to express our sincere appreciation and gratitude to the DSR for its technical and financial support.