The Exponentiated Weibull-Pareto Distribution with Application

被引：0
作者：
Ahmed Z. Afify
Haitham M. Yousof
G. G. Hamedani
Gokarna R. Aryal
机构：
[1] Benha University,Department of Statistics, Mathematics and Insurance
[2] Purdue University Northwest,Department of Mathematics, Statistics and Computer Science
来源：
Journal of Statistical Theory and Applications | 2016年 / 15卷 / 4期
关键词：
Exponentiated distribution; Weibull-Pareto distribution; Rényi entropy; Order statistics; Parameter estimation;
D O I：
10.2991/jsta.2016.15.4.2
中图分类号：
学科分类号：
摘要：
A new generalization of the Weibull-Pareto distribution called the exponentiated Weibull-Pareto distribution is defined and studied. Various structural properties including ordinary moments, quantiles, Rényi and q-entropies and order statistics are derived. We proposed the method of maximum likelihood for estimating the model parameters. We provide the simulation results to assess the performance of the proposed model. The usefulness and flexibility of the new model is illustrated using real data.
引用
收藏
页码：326 / 344
页数：18
相关论文
共 64 条
[1]  
Afify AZ(2014)Transmuted complementary Weibull geometric distribution Pak. j. stat.oper.res. 10 435-454
[2]  
Nofal ZM(2015)Exponentiated transmuted generalized Rayleigh distribution: a new four parameter Rayleigh distribution Pak. j. stat. oper. res. 11 115-134
[3]  
Butt NS(2015)The transmuted Weibull Lomax distribution: properties and application Pak.j.stat.oper.res. 11 135-152
[4]  
Afify AZ(2008)The beta-Pareto distribution Statistics 42 547-563
[5]  
Nofal ZM(2011)Transmuted Weibull Distribution: A Generalization of theWeibull Probability Distribution European Journal of Pure and Applied Mathematics 4 89-102
[6]  
Ebraheim AN(2013)The Kumaraswamy Pareto distribution Journal of Statistical Theory and Applications 12 129-144
[7]  
Afify AZ(2010)The Kumaraswamy Weibull distribution with application to failure data Journal of the Franklin Institute 347 1399-1429
[8]  
Nofal ZM(2005)The beta-weibull distribution J. Statist. Theor. Appl. 4 121-136
[9]  
Yousof HM(1990)Some consequences of a characterization theorem based on truncated moments Statistics: A Journal of Theoretical and Applied Statistics 21 613-618
[10]  
El Gebaly YM(1998)Modeling failure time data by Lehmann alternatives Communications in Statistics - Theory and Methods 27 887-904
1234567