Estimation of parameters for the Marshall-Olkin generalized exponential distribution based on complete data

被引:4
作者
Torabi, Hamzeh [1 ]
Bagheri, F. L. [1 ]
Mahmoudi, E. [1 ]
机构
[1] Yazd Univ, Dept Stat, Yazd 89175741, Iran
关键词
Exponentiated exponential distribution; Marshall-Olkin generalized exponential distribution; Maximum likelihood estimation; Minimum spacing distance estimator; WEIBULL; FAMILY; INFERENCE; GAMMA;
D O I
10.1016/j.matcom.2017.11.005
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper derives some properties of the Marshall-Olkin generalized exponential distribution and shows that this distribution is more flexible than the exponentiated exponential distribution. Then we discuss estimation of the distribution parameters by the methods of moments, maximum likelihood and some new methods based on minimum spacing distance. Furthermore, asymptotic confidence intervals of the estimators are presented. Finally, we give a method to simulate the proposed distribution. (C) 2017 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:177 / 185
页数:9
相关论文
共 17 条
[1]  
Alice T., 1999, 2 ANN C SOC STAT COM
[2]  
Casella G., 2002, STAT INFERENCE
[3]   Generalized exponential distribution: Existing results and some recent developments [J].
Gupta, Rameshwar D. ;
Kundu, Debasis .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (11) :3537-3547
[4]  
Gupta RD, 2003, COMPUT STAT DATA AN, V43, P179, DOI 10.1016/S0167-9473(02)00206-2
[5]   Closeness of gamma and generalized exponential distribution [J].
Gupta, RD ;
Kundu, D .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2003, 32 (04) :705-721
[6]   Generalized exponential distribution: Different method of estimations [J].
Gupta, RD ;
Kundu, D .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2001, 69 (04) :315-337
[7]   Generalized exponential distributions [J].
Gupta, RD ;
Kundu, D .
AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 1999, 41 (02) :173-188
[8]  
Gupta RD, 2001, BIOMETRICAL J, V43, P117, DOI 10.1002/1521-4036(200102)43:1<117::AID-BIMJ117>3.0.CO
[9]  
2-R
[10]  
Gupta RD., 2002, J Stat Theory Appl, V1, P101