Open AccessThe complementary Poisson-Lindley class of distributions
Author(s) -
Amal S. Hassan,
Salwa M. Assar,
Kareem A. Ali
Publication year - 2015
Publication title -
international journal of advanced statistics and probability
Language(s) - English
Resource type - Journals
ISSN - 2307-9045
DOI - 10.14419/ijasp.v3i2.4624
Subject(s) - poisson distribution , mathematics , independent and identically distributed random variables , class (philosophy) , random variable , poisson binomial distribution , compound poisson distribution , statistics , cumulative distribution function , discrete mathematics , compound poisson process , combinatorics , probability density function , poisson regression , computer science , poisson process , population , demography , artificial intelligence , sociology
This paper proposed a new general class of continuous lifetime distributions, which is a complementary to the Poisson-Lindley family proposed by Asgharzadeh et al. [3]. The new class is derived by compounding the maximum of a random number of independent and identically continuous distributed random variables, and Poisson-Lindley distribution. Several properties of the proposed class are discussed, including a formal proof of probability density, cumulative distribution, and reliability and hazard rate functions. The unknown parameters are estimated by the maximum likelihood method and the Fisher’s information matrix elements are determined. Some sub-models of this class are investigated and studied in some details. Finally, a real data set is analyzed to illustrate the performance of new distributions.