A Generalized One Parameter Polynomial Exponential Generator Family of Distributions

TL;DR

This paper introduces a new flexible family of distributions for modeling lifetime data, exploring their properties, estimation methods, and demonstrating their applicability through simulations and real data analysis.

Contribution

It proposes the Generalized One Parameter Polynomial Exponential-G family of distributions, a novel class with detailed structural, reliability properties, and estimation techniques.

Findings

The new distribution family effectively models lifetime data.

Maximum likelihood estimation is feasible for the proposed class.

Simulation and real data analyses validate its practical utility.

Abstract

A new class of distributions, called Generalized One Parameter Polynomial Exponential-G family of distributions is proposed for modelling lifetime data. An account of the structural and reliability properties of the new class is presented. Maximum likelihood estimation of parameters of the class of distributions has been described. Simulation study results have been reported. Two data sets have been analyzed to illustrate its applicability.