New Multivariate Discrete Distributions UGAT Distributions and Their Applications in Reliability

TL;DR

This paper introduces the UGAT distribution, a new multivariate discrete model, explores its properties, and applies it to reliability analysis using maximum likelihood estimation.

Contribution

The paper presents the UGAT distribution, a novel multivariate discrete distribution, along with its properties and applications in reliability analysis.

Findings

Derived moments and probability generating functions for UGAT

Developed maximum likelihood estimation methods for parameters

Applied UGAT to reliability studies with numerical results

Abstract

In this paper, we introduce a new multivariate discrete distribution which called multivariate unification of generalized Apostol type distribution (UGAT). Several prop- erties are studied as, moments, probability generating function and other properties. Also, reliability study of distribution are introduced. Maximum likelihood method is used to estimate parameters and numerical method is used to obtain (MLEs).