The Poisson exponential-G family of distributions with properties and applications


Reyad H., Jamal F., Ozel G. , Othman S.

JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS, 2020 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1080/09720510.2020.1714896
  • Title of Journal : JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS

Abstract

We introduce a new family of continuous distributions called the Poisson-exponential-G family based on the Poisson-exponential distribution of Cancho et al. (2011). The shapes of the density and hazard functions corresponding to new family are studied. Two sub-models are also discussed. We study some properties of the proposed family such as moments, generating functions, entropy measures, stress-strength model and order statistics. The model parameters are estimated via maximum likelihood approach. A Monte-Carlo simulation study is designed and used to show the performances of obtained estimators of parameters. Two real applications are introduced to show the importance of the new family.