three-parameter exponentiated-Weibull distribution;
Bayes estimators;
generalized maximum likelihood estimator;
maximum likelihood estimators;
non-informative prior;
type-II censoring;
square error;
loss function;
LINEX loss function;
D O I:
10.1016/j.jspi.2004.04.018
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:
The present article obtains the point estimators of the exponentiated-Weibull parameters when all the three parameters of the distribution are unknown. Maximum likelihood estimator generalized maximum likelihood estimator and Bayes estimators are proposed for three-parameter exponentiated-Weibull distribution when available sample is type-II censored. Independent non-informative types of priors are considered for the unknown parameters to develop generalized maximum likelihood estimator and Bayes estimators. Although the proposed estimators cannot be expressed in Dice closed forms, these can be easily obtained through the use of appropriate numerical techniques. The performances of these estimators are studied on the basis of their risks, computed separately Under LINEX loss and squared error loss functions through Monte-Carlo simulation technique. An example is also considered to illustrate the estimators. (c) 2004 Elsevier B.V. All rights reserved.
机构:
Northeast Petr Univ, Sch Math & Stat, Daqing 163318, Heilongjiang, Peoples R ChinaNortheast Petr Univ, Sch Math & Stat, Daqing 163318, Heilongjiang, Peoples R China
Xin, Hua
Zhu, Jianping
论文数: 0引用数: 0
h-index: 0
机构:
Northeast Petr Univ, Sch Math & Stat, Daqing 163318, Heilongjiang, Peoples R China
Xiamen Univ, Sch Management, Xiamen 361005, Fujian, Peoples R China
Xiamen Univ, Data Min Res Ctr, Xiamen 361005, Fujian, Peoples R ChinaNortheast Petr Univ, Sch Math & Stat, Daqing 163318, Heilongjiang, Peoples R China
Zhu, Jianping
Sun, Junge
论文数: 0引用数: 0
h-index: 0
机构:
Xiamen Univ, Dept Stat, Xiamen 361005, Fujian, Peoples R ChinaNortheast Petr Univ, Sch Math & Stat, Daqing 163318, Heilongjiang, Peoples R China
Sun, Junge
Zheng, Chenlu
论文数: 0引用数: 0
h-index: 0
机构:
Xiamen Univ, Sch Management, Xiamen 361005, Fujian, Peoples R China
Xiamen Univ, Data Min Res Ctr, Xiamen 361005, Fujian, Peoples R ChinaNortheast Petr Univ, Sch Math & Stat, Daqing 163318, Heilongjiang, Peoples R China
Zheng, Chenlu
论文数: 引用数:
h-index:
机构:
Tsai, Tzong-Ru
[J].
INTERNATIONAL JOURNAL OF RELIABILITY QUALITY & SAFETY ENGINEERING,
2018,
25
(02):
机构:
Department of Statistics, Faculty of Business Administration, Delta University of Science and Technology, MansouraDepartment of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza
机构:
Department of Statistics, Faculty of Commerce, Zagazig University, ZagazigDepartment of Statistics, Faculty of Commerce, Zagazig University, Zagazig
Nassar M.
论文数: 引用数:
h-index:
机构:
Abo-Kasem O.
Zhang C.
论文数: 0引用数: 0
h-index: 0
机构:
Department of Applied Mathematics, Northwestern Polytechnical University, Xi’anDepartment of Statistics, Faculty of Commerce, Zagazig University, Zagazig
Zhang C.
Dey S.
论文数: 0引用数: 0
h-index: 0
机构:
Department of Statistics, King Abdulaziz University, JeddahDepartment of Statistics, Faculty of Commerce, Zagazig University, Zagazig
机构:
Indian Inst Technol Patna, Dept Math, Bihta 801106, IndiaIndian Inst Technol Patna, Dept Math, Bihta 801106, India
Singh, Kundan
Tripathi, Yogesh Mani
论文数: 0引用数: 0
h-index: 0
机构:
Indian Inst Technol Patna, Dept Math, Bihta 801106, IndiaIndian Inst Technol Patna, Dept Math, Bihta 801106, India
Tripathi, Yogesh Mani
Lodhi, Chandrakant
论文数: 0引用数: 0
h-index: 0
机构:
Ctr Rajiv Gandhi Inst Petr Technol, Energy Inst Bengaluru, Bangalore 562114, Karnataka, IndiaIndian Inst Technol Patna, Dept Math, Bihta 801106, India
Lodhi, Chandrakant
Wang, Liang
论文数: 0引用数: 0
h-index: 0
机构:
Yunnan Normal Univ, Sch Math, Kunming, Peoples R China
Yunnan Normal Univ, Yunnan Key Lab Modern Analyt Math & Applicat, Kunming, Peoples R ChinaIndian Inst Technol Patna, Dept Math, Bihta 801106, India