ON DOMINATING THE X2-TEST IN THE CASE OF MULTIVARIATE NORMAL-DISTRIBUTION WITH ONE-SIDED ALTERNATIVES

被引：0

作者：

ALRAWWASH, HM ^{[1
]}

机构：

[1] YARMOUK UNIV,IRBID,JORDAN

来源：

SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES B | 1990年 / 52卷

关键词：

X2-TEST; W2-TEST; ADMISSIBILITY; CONE; V-DECREASING; ACCEPTANCE REGION; POWER FUNCTION;

D O I：

暂无

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 method presented in Al-Rawwash and Marden (1988) is used to construct an admissible test for testing hypothesis concerning the mean vector theta of a multivariate normal distribution, N(theta, I). For the case that the null hypothesis is simple and the alternative hypothesis is one-sided, the constructed test dominates the usual chi-2-test. The local power of the proposed test is compared with one competitive test.

引用

页码：174 / 182

页数：9

共 50 条

[1] APPROACH TO A ONE-SIDED TEST IN BIVARIATE NORMAL-DISTRIBUTION
SHIRAHATA, S
[J]. BIOMETRIKA, 1978, 65 (01) : 61 - 67
[2] EVALUATION OF ONE-SIDED PERCENTAGE POINTS OF THE SINGULAR MULTIVARIATE NORMAL-DISTRIBUTION
KWONG, KS
[J]. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 1995, 51 (2-4) : 121 - 135
[3] A simple multivariate test for one-sided alternatives
Follmann, D
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1996, 91 (434) : 854 - 861
[4] A conditionally distribution-free multivariate sign test for one-sided alternatives
Larocque, D
Labarre, M
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2004, 99 (466) : 499 - 509
[5] COEFFICIENTS FOR THE DETERMINATION OF ONE-SIDED TOLERANCE LIMITS OF NORMAL-DISTRIBUTION
JILEK, M
LIKAR, O
[J]. ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1959, 11 (01) : 45 - 48
[6] ONE-SIDED CHARACTERIZATION OF THE NORMAL-DISTRIBUTION IN THE SET OF INFINITELY DIVISIBLE DISTRIBUTIONS
ROSSBERG, HJ
SIEGEL, G
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 1981, 26 (02) : 392 - 399
[7] Halfline tests for multivariate one-sided alternatives
Lu, Zeng-Hua
[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2013, 57 (01) : 479 - 490
[8] A MULTIVARIATE ANALOG OF ONE-SIDED TEST
KUDO, A
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1961, 32 (02): : 629 - 629
[9] ESTIMATES OF SPEED OF CONVERGENCE TO NORMAL-DISTRIBUTION UNDER CONDITION OF ONE-SIDED MOMENTS
PADITZ, L
[J]. MATHEMATISCHE NACHRICHTEN, 1978, 82 : 131 - 156
[10] PROPERTY OF A TEST FOR EQUALITY OF 2 NORMAL DISPERSION MATRICES AGAINST ONE-SIDED ALTERNATIVES
MIKHAIL, WF
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (04): : 1463 - &

← 1 2 3 4 5 →