Open AccessA New Extension of Quasi Lindley Distribution: Properties and Applications
Author(s) -
Patrick Udoudo Unyime,
Ette Harrison Etuk
Publication year - 2019
Publication title -
international journal of advanced statistics and probability
Language(s) - English
Resource type - Journals
ISSN - 2307-9045
DOI - 10.14419/ijasp.v7i2.29791
Subject(s) - quantile function , quantile , mathematics , extension (predicate logic) , moment (physics) , distribution (mathematics) , order statistic , maximum likelihood , heavy tailed distribution , function (biology) , moment generating function , statistics , mathematical optimization , computer science , probability distribution , mathematical analysis , physics , classical mechanics , evolutionary biology , biology , programming language
In this paper, we introduced and studied the statistical properties of a new distribution called the Marshall-Olkin extended quasi Lindley distribution. Specifically, we derived the crude moment, moment generating function, quantile function, and distributions of order statisticsbased on the distribution. The maximum likelihood point estimation method was used to estimate the parameters of the newly introduced model. Some AR minfication processes were discussed. We illustrated the applicability of the distribution using a real dataset.Keywords: Marshal-Olkin family of distributions; maximum likelihood estimates; minification processes; quasi Lindley distribution; quantile function.