The gamma-exponentiated exponential distribution

被引:187
|
作者
Ristic, Miroslav M. [1 ]
Balakrishnan, Narayanaswamy [2 ,3 ,4 ]
机构
[1] Univ Nis, Fac Sci & Math, Nish, Serbia
[2] McMaster Univ, Hamilton, ON L8S 4K1, Canada
[3] King Saud Univ, Riyadh, Saudi Arabia
[4] Natl Cent Univ, Jhongli, Taiwan
基金
加拿大自然科学与工程研究理事会;
关键词
generalized exponential distribution; exponentiated exponential distribution; lower record values; gamma-generated distribution; FAILURE RATE; STATISTICS; FAMILY;
D O I
10.1080/00949655.2011.574633
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we introduce a new distribution generated by gamma random variables. We show that this distribution includes as a special case the distribution of the lower record value from a sequence of i.i.d. random variables from a population with the exponentiated (generalized) exponential distribution. The properties of this distribution are derived and the estimation of the model parameters is discussed. Some applications to real data sets are finally presented for illustration.
引用
收藏
页码:1191 / 1206
页数:16
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