ESTIMATING THE EXPONENTIAL RELIABILITY FUNCTION FOR A SYSTEM IN SERIES WITH TYPE-II CENSORED-DATA

被引:2
作者
ANANDA, MMA [1 ]
机构
[1] UNIV NEVADA,DEPT MATH SCI,LAS VEGAS,NV 89154
关键词
EXPONENTIAL DISTRIBUTION; QUADRATIC LOSS; ADMISSIBILITY; RELIABILITY FUNCTION; TYPE-II CENSORED DATA;
D O I
10.1080/03610929208830973
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 problem of estimating the one parameter exponential reliability function for a system composed of l componentes in series is considered. Under the type II censoring scheme, the Bayes nature of the minimum variance unbiased estimator is demonstrated and the admissibility of related generalized Bayes estimators is established. For the one component case, the best unbiased estimator is admissible.
引用
收藏
页码:3219 / 3227
页数:9
相关论文
共 50 条
[31]   Bayesian inference based on a jointly type-II censored sample from two exponential populations [J].
Shafay, A. R. ;
Balakrishnan, N. ;
Abdel-Aty, Y. .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2014, 84 (11) :2427-2440
[32]   A Generalized Confidence Limit for the Reliability of Parallel Systems Based on Type II Censored Data [J].
Ma Jianjun ;
Wang Lijun ;
Zhang Yuchun .
DATA PROCESSING AND QUANTITATIVE ECONOMY MODELING, 2010, :454-+
[33]   Use of orthogonal polynomial approximations for inference in exponential distribution based on K-sample doubly Type-II censored data [J].
Sanjel, Deepak ;
Balakrishnan, N. .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2006, 35 (09) :1671-1683
[34]   Analysis of the progressively Type-II right censored data with dependent random removals [J].
Ghahramani, Masume ;
Sharafi, Maryam ;
Hashemi, Reza .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2020, 90 (06) :1001-1021
[35]   Progressively Type-II censored competing risks data from Lomax distributions [J].
Cramer, Erhard ;
Schmiedt, Anja Bettina .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2011, 55 (03) :1285-1303
[36]   Exact linear inference and prediction for exponential distributions based on general progressively Type-II censored samples [J].
Balakrishnan, N ;
Lin, CT .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2002, 72 (08) :677-686
[37]   Inference for Type-I and Type-II Hybrid Censored Minimal Repair and Record Data [J].
Berzborn, Moritz ;
Cramer, Erhard .
JOURNAL OF STATISTICAL THEORY AND PRACTICE, 2023, 17 (04)
[38]   Inference for Type-I and Type-II Hybrid Censored Minimal Repair and Record Data [J].
Moritz Berzborn ;
Erhard Cramer .
Journal of Statistical Theory and Practice, 2023, 17
[39]   Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution [J].
A. Childs ;
B. Chandrasekar ;
N. Balakrishnan ;
D. Kundu .
Annals of the Institute of Statistical Mathematics, 2003, 55 :319-330
[40]   Exact likelihood inference based on Type-I and Type-II hybrid censored samples from the exponential distribution [J].
Childs, A ;
Chandrasekar, B ;
Balakrishnan, N ;
Kundu, D .
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 2003, 55 (02) :319-330