Pseudo-Lindley Family of Distributions and its Properties
U. U. Uwadi *
Department of Mathematics and Statistics Alex-Ekwueme Federal University Ndufu-Alike, Nigeria.
E. E. Nwezza
Department of Mathematics and Statistics Alex-Ekwueme Federal University Ndufu-Alike, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Pseudo lindley, T-R{Y} family, maximum likelihood, entropy, order statistics, bivariate distribution