Open AccessPseudo-Lindley Family of Distributions and its Properties
Author(s) -
Uchenna U. Uwadi,
Elebe Emmanuel Nwezza
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i530298
Subject(s) - mathematics , quantile function , order statistic , quantile , bivariate analysis , bathtub , statistics , exponential family , probability density function , moment generating function , normal family , statistical physics , physics , archaeology , normality , history
In this study, we proposed a family of distribution called the Pseudo Lindley family of distributions. The limiting behaviors of the density and hazard rate function of the new family are examined. Statistical properties of the proposed family of distributions derived include quantile function, moments, order statistics, and Renyi’s entropy. The maximum likelihood method was employed in obtaining the parameter estimates of the Pseudo Lindley family of distribution. Bivariate extension of the proposed family is discussed. Some special members of the family are obtained. The shape of the density function of special members could be unimodal, bathtub shaped, increasing and decreasing.