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

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.

Subject Classification:

• 62E99
• 60E05

Keywords:

• Entropy
• Maximum Likelihood
• Poisson Exponential Distribution
• Probability Weighted Moments
• Stress Strength Model
• T-X Family