A New Generalized Weighted Weibull Distribution
In this article, we present a new generalization of weighted Weibull distribution using Topp Leone family of distributions. We have studied some statistical properties of the proposed distribution including quantile function, moment generating function, probability generating function, raw moments,...
Saved in:
Published in | Pakistan journal of statistics and operation research Vol. 15; no. 1; pp. 161 - 178 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Lahore
University of the Punjab, College of Statistical & Actuarial Science
01.01.2019
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | In this article, we present a new generalization of weighted Weibull distribution using Topp Leone family of distributions. We have studied some statistical properties of the proposed distribution including quantile function, moment generating function, probability generating function, raw moments, incomplete moments, probability, weighted moments, Rayeni and q th entropy. The have obtained numerical values of the various measures to see the eect of model parameters. Distribution of of order statistics for the proposed model has also been obtained. The estimation of the model parameters has been done by using maximum likelihood method. The eectiveness of proposed model is analyzed by means of a real data sets. Finally, some concluding remarks are given. |
---|---|
ISSN: | 1816-2711 2220-5810 |
DOI: | 10.18187/pjsor.v15i1.2782 |