Shrinkage estimation of P(Y < X) in the exponential distribution mixing with exponential distribution

被引：1

作者：

Nooghabi, Mehdi Jabbari ^{[1
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Stat, Ordered & Spatial Data Ctr Excellence, Mashhad, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2016年 / 45卷 / 05期

关键词：

Shrinkage estimation; Exponential distribution; Mixing; P-value; Stress strength model; Prior information; Maximum likelihood estimator; 62FXX; 62F10; Y LESS;

D O I：

10.1080/03610926.2013.864768

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 estimation of R = P(Y < X) have been used in the paper. Let X has exponential distribution mixing with exponential distribution with parameters and and Y independently of X has exponential distribution with parameter . By using a prior guess or estimate R-0, different shrinkage estimators of R are derived. Then the performance of the estimators are discussed. Finally, we compare these results with Baklizei and Dayyeh (2003) approaches.

引用

页码：1477 / 1486

页数：10

共 50 条

[1] Estimation of P[Y < X] for generalized exponential distribution
Kundu, D
Gupta, RD
[J]. METRIKA, 2005, 61 (03) : 291 - 308
[2] Shrinkage estimation of P(Y<X) in the exponential case
Baklizi, A
Dayyeh, WA
[J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2003, 32 (01) : 31 - 42
[3] Estimation of P[Y < X] for generalized exponential distribution
Debasis Kundu
Rameshwar D. Gupta
[J]. Metrika, 2005, 61 : 291 - 308
[4] Confidence intervals for P(Y < X) for the generalized exponential distribution
Hajebi, Mahtab
Rezaei, Sadegh
Nadarajah, Saralees
[J]. STATISTICAL METHODOLOGY, 2012, 9 (03) : 445 - 455
[5] Estimation of P(Y<X) for the three-parameter generalized exponential distribution
Raqab, Mohammad Z.
Madi, Mohamed T.
Kundu, Debasis
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2008, 37 (18) : 2854 - 2864
[6] Shrinkage estimation of P(X<Y) in the exponential case with common location parameter
Baklizi, A
El-Masri, AE
[J]. METRIKA, 2004, 59 (02) : 163 - 171
[7] On estimation of R = P(Y < X) for exponential distribution under progressive type-II censoring
Saracoglu, Bugra
Kinaci, Ismail
Kundu, Debasis
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2012, 82 (05) : 729 - 744
[8] SHRINKAGE ESTIMATION OF RELIABILITY IN THE EXPONENTIAL-DISTRIBUTION
CHIOU, P
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1992, 21 (06) : 1745 - 1758
[9] A note on interval estimation of P(X < Y) using lower record data from the generalized exponential distribution
Wong, Augustine C. M.
Wu, Yan Yan
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2009, 53 (10) : 3650 - 3658
[10] Estimation of P(Y<X) for progressively first-failure-censored generalized inverted exponential distribution
Krishna, Hare
Dube, Madhulika
Garg, Renu
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2017, 87 (11) : 2274 - 2289

← 1 2 3 4 5 →

Shrinkage estimation of P(Y &lt; X) in the exponential distribution mixing with exponential distribution

Shrinkage estimation of P(Y < X) in the exponential distribution mixing with exponential distribution