New Discrete Lifetime Distribution with Applications to Count Data

Abstract

In this paper, we present a new class of distribution called generalized Hermite–Genocchi distribution (GHGD). This model is obtained by compounding generalized Hermite–Genocchi polynomials given by Gould and Hopper with powers series distribution. Statistical properties and reliability characteristics are studied. The model has been applied to several real data. Finally, a simulation study is performed to assess the performance of the model.

Keywords

• Generalized Hermite distribution
• Hermite polynomials
• Genocchi polynomials
• Hermite–Genocchi polynomials
• Discrete distribution
• Reliability