The Harris Extended Exponential Distribution

被引:39
作者
Bastos Pinho, Luis Gustavo [1 ]
Cordeiro, Gauss Moutinho [1 ]
Nobre, Juvencio Santos [2 ]
机构
[1] Univ Fed Pernambuco, UFPE, Dept Stat, BR-50746540 Recife, PE, Brazil
[2] Fed Univ Ceara UFC, Dept Stat & Appl Math, Fortaleza, Ceara, Brazil
关键词
FAMILY;
D O I
10.1080/03610926.2013.851221
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
A new lifetime distribution is proposed and studied. The Harris extended exponential is obtained from a mixture of the exponential and Harris distributions, which arises from a branching process. Several structural properties of the new distribution are discussed, including moments, generating function and order statistics. The new distribution can model data with increasing or decreasing failure rate. The shape of the hazard rate function is controlled by one of the added parameters in an uncomplicated manner. An application to a real dataset illustrates the usefulness of the new distribution.
引用
收藏
页码:3486 / 3502
页数:17
相关论文
共 19 条
[1]  
Aly EEAA, 2011, SANKHYA SER B, V73, P70, DOI 10.1007/s13571-011-0017-9
[2]  
[Anonymous], 1992, 1 COURSE ORDER STAT
[3]   A new lifetime model with decreasing failure rate [J].
Barreto-Souza, Wagner ;
Bakouch, Hassan S. .
STATISTICS, 2013, 47 (02) :465-476
[4]  
Casella George, 2001, Statistical Inference
[5]   On some lifetime distributions with decreasing failure rate [J].
Chahkandi, M. ;
Ganjali, M. .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2009, 53 (12) :4433-4440
[6]  
COX DR, 1962, J ROY STAT SOC B, V24, P406
[7]  
COX DR, 1961, 4TH P BERK S MATH ST, V1, P105
[8]  
Davison A.G., 1997, Bootstrap Methods and Their Application
[9]   Discriminating between gamma and generalized exponential distributions [J].
Gupta, R ;
Kundu, D .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2004, 74 (02) :107-121
[10]   Generalized exponential distributions [J].
Gupta, RD ;
Kundu, D .
AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 1999, 41 (02) :173-188