The beta transmuted-H family for lifetime data

被引:39
作者
Afify, Ahmed [1 ]
Yousof, Haitham [1 ]
Nadarajah, Saralees [2 ]
机构
[1] Benha Univ, Dept Stat Math & Insurance, Banha, Egypt
[2] Univ Manchester, Sch Math, Manchester, Lancs, England
关键词
Beta-G family; Generating function; Maximum likelihood; Order statistic; Transmuted family; WEIBULL DISTRIBUTION;
D O I
10.4310/SII.2017.v10.n3.a13
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We introduce a new family of continuous distributions called the beta transmuted-H family which extends the transmuted family pioneered by Shaw and Buckley [34]. Some of its mathematical properties including explicit expressions for the ordinary moments, quantiles, generating functions and order statistics are derived. Some special models of the new family are provided. The maximum likelihood method is used for estimating the model parameters, and the finite sample performance of the estimators is assessed by simulation. The importance and flexibility of the proposed family are illustrated by applications to two real data sets.
引用
收藏
页码:505 / 520
页数:16
相关论文
共 37 条
[1]  
Afify A.Z., 2016, J. Data Sci., V14, P245, DOI [10.6339/JDS.20160414(2).0004, DOI 10.6339/JDS.201604_14(2).0004]
[2]  
Afify AZ, 2014, PAK J STAT OPER RES, V10
[3]   Exponentiated Transmuted Generalized Rayleigh Distribution: A New Four Parameter Rayleigh Distribution [J].
Afify, Ahmed Z. ;
Nofal, Zohdy M. ;
Ebraheim, Abd El Hadi N. .
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (01) :115-134
[4]   The Transmuted Weibull Lomax Distribution: Properties and Application [J].
Afify, Ahmed Z. ;
Nofal, Zohdy M. ;
Yousof, Haitham M. ;
El Gebaly, Yehia M. ;
Butt, Nadeem Shafique .
PAKISTAN JOURNAL OF STATISTICS AND OPERATION RESEARCH, 2015, 11 (01) :135-152
[5]   The beta-Pareto distribution [J].
Akinsete, Alfred ;
Famoye, Felix ;
Lee, Carl .
STATISTICS, 2008, 42 (06) :547-563
[6]  
AL-BABTAIN A., 2015, COMMUNICATI IN PRESS
[7]   A new modified Weibull distribution [J].
Almalki, Saad J. ;
Yuan, Jingsong .
RELIABILITY ENGINEERING & SYSTEM SAFETY, 2013, 111 :164-170
[8]  
[Anonymous], 2015, Computational and Applied Mathematics
[9]  
[Anonymous], 2013, INT J BASIC APPL SCI, DOI DOI 10.14419/IJBAS.V2I3.1074
[10]  
[Anonymous], 2013, Journal of Applied Sciences Research