Open AccessNew Distribution for Fitting Discrete Data: The Poisson-Gold Distribution and Its Statistical Properties
Author(s) -
Ahmad Hanandeh,
Amjad D. AlNasser
Publication year - 2021
Publication title -
österreichische zeitschrift für statistik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.342
H-Index - 9
ISSN - 1026-597X
DOI - 10.17713/ajs.v50i4.1091
Subject(s) - poisson distribution , moment (physics) , distribution (mathematics) , compound poisson distribution , mathematics , statistical physics , distribution fitting , zero inflated model , univariate distribution , distribution function , moment generating function , noncentral chi squared distribution , method of moments (probability theory) , computer science , mathematical optimization , probability distribution , ratio distribution , statistics , asymptotic distribution , mathematical analysis , poisson regression , physics , population , demography , classical mechanics , sociology , quantum mechanics , estimator
Motivated mainly by lifetime issues, a new lifetime distribution coined ``Discrete Poisson-Gold distribution'' is introduced in this paper. Different structural properties of the new distribution are derived including moment generating function and the $r^{th}$ moment and others are presented. In addition, we discussed various important mathematical properties of the new distribution including estimation procedures for estimating the distribution parameters using the maximum likelihood and method of moments. The usefulness and credibility of the distribution are illustrated by means of two real-data applications to show its superior performance over some other well-known lifetime distributions and to prove its versatility in practical applications.