Two Extended Burr Models: Theory and Practice

被引:23
作者
Gomes, Antonio E. [1 ]
da-Silva, Cibele Q. [1 ]
Cordeiro, Gauss M. [2 ]
机构
[1] Univ Brasilia, Dept Estat, BR-70910900 Brasilia, DF, Brazil
[2] Univ Fed Pernambuco, Dept Estat & Informat, Recife, PE, Brazil
关键词
Burr III distribution; Burr XII distribution; Generating function; Information matrix; McDonald Burr III distribution; McDonald Burr XII distribution; Maximum likelihood; Moment; EXPONENTIATED WEIBULL FAMILY; MAXIMUM-LIKELIHOOD; XII DISTRIBUTION; RELIABILITY; STANDS;
D O I
10.1080/03610926.2012.762402
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We propose two new six-parameter distributions, called the McDonald Burr III and McDonald Burr XII models, which contain some recently published distributions as special models. We provide a comprehensive description of some of their mathematical properties with the hope that they will attract wider applications in lifetime analysis. The potentiality of both models to analyze positive data is illustrated by means of two real data sets.
引用
收藏
页码:1706 / 1734
页数:29
相关论文
共 41 条
[1]  
Al-Dayian G.R., 1999, Egypt. Stat. J, V43, P102
[2]   Cumulative frequency functions [J].
Burr, IW .
ANNALS OF MATHEMATICAL STATISTICS, 1942, 13 :215-232
[3]   The Kumaraswamy Weibull distribution with application to failure data [J].
Cordeiro, Gauss M. ;
Ortega, Edwin M. M. ;
Nadarajah, Saralees .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (08) :1399-1429
[4]   A new family of generalized distributions [J].
Cordeiro, Gauss M. ;
de Castro, Mario .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (07) :883-898
[5]   Beta-normal distribution and its applications [J].
Eugene, N ;
Lee, C ;
Famoye, F .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2002, 31 (04) :497-512
[6]  
Famoye F., 2005, J STAT THEORY APPL, V4, P121
[7]   Rotated sigmoid structures in managed uneven-aged northern hardwood stands: a look at the Burr Type III distribution [J].
Gove, Jeffrey H. ;
Ducey, Mark J. ;
Leak, William B. ;
Zhang, Lianjun .
FORESTRY, 2008, 81 (02) :161-176
[8]  
Gradshteyn I., 2000, table of Integrals, Series and Products, V6th
[9]   Assessing the need for groundwater quality guidelines for pesticides using the species sensitivity distribution approach [J].
Hose, GC .
HUMAN AND ECOLOGICAL RISK ASSESSMENT, 2005, 11 (05) :951-966
[10]  
Klein JP, 1997, Survival analysis: techniques for censored and truncated data