A test for the presence of stochastic ordering under censoring: the k-sample case

被引：0

作者：

El Barmi, Hammou ^{[1
]}

机构：

[1] CUNY, Baruch Coll, Paul H Chook Dept Informat Syst & Stat, One Baruch Way, New York, NY 10010 USA

来源：

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS | 2020年 / 72卷 / 02期

关键词：

Censored data; Empirical likelihood; Order-restricted inference; Stochastic ordering; LIKELIHOOD-BASED TESTS; EMPIRICAL LIKELIHOOD; NONPARAMETRIC-ESTIMATION; RATIO TEST; CONSTRAINTS;

D O I：

10.1007/s10463-018-0694-5

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：

In this paper, we develop an empirical likelihood-based test for the presence of stochastic ordering under censoring in the k-sample case. The proposed test statistic is formed by taking the supremum of localized empirical likelihood ratio test statistics. Its asymptotic null distribution has a simple representation in terms of a standard Brownian motion process. Through simulations, we show that it outperforms in terms of power existing methods for the same problem at all the distributions that we consider. A real-life example is used to illustrate the applicability of this new test.

引用

页码：451 / 470

页数：20

共 50 条

[1] A test for the presence of stochastic ordering under censoring: the k-sample case
Hammou El Barmi
[J]. Annals of the Institute of Statistical Mathematics, 2020, 72 : 451 - 470
[2] Inferences under a stochastic ordering constraint:: The k-sample case
El Barmi, H
Mukerjee, H
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2005, 100 (469) : 252 - 261
[3] Consistent estimation of survival functions under uniform stochastic ordering; the k-sample case
El Barmi, Hammou
Mukerjee, Hari
[J]. JOURNAL OF MULTIVARIATE ANALYSIS, 2016, 144 : 99 - 109
[4] Exact inference and prediction for K-sample exponential case under type-II censoring
Balakrishnan, N
Lin, CT
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2005, 75 (05) : 315 - 331
[5] K-SAMPLE TEST FOR ORDERED RESTRICTIONS UNDER RANDOM CENSORSHIP
Ayushee
Kumar, Narinder
[J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2023, 88 (01) : 75 - 92
[6] K-SAMPLE NONPARAMETRIC TEST OF SLIPPAGE
DICKINSO.PC
CHOW, B
[J]. BIOMETRICS, 1972, 28 (03) : 903 - &
[7] Spacing tests for the K-sample problem and random ordering
Schuster, EF
Kaigh, WD
[J]. JOURNAL OF NONPARAMETRIC STATISTICS, 1999, 11 (1-3) : 33 - 50
[8] k-Sample Median Test for Vague Data
Grzegorzewski, Przemyslaw
[J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2009, 24 (05) : 529 - 539
[9] Exact inference and prediction for K-sample two-parameter exponential case under general Type-II censoring
Balakrishnan, N
Lin, CT
Chan, PS
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2004, 74 (12) : 867 - 878
[10] SIGNIFICANCE LEVELS FOR A K-SAMPLE SLIPPAGE TEST
MOSTELLER, F
TUKEY, JW
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1950, 21 (01): : 120 - 123

← 1 2 3 4 5 →