Testing of Location Parameters Against Restricted Alternatives with Optimal Choice of Weights

被引：0

作者：

Kumar, Narinder ^{[1
]}

Goyal, Manish ^{[1
]}

机构：

[1] Panjab Univ, Dept Stat, Chandigarh 160014, India

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2021年 / 91卷 / 03期

关键词：

Location parameters; Restricted alternatives; Optimal weights; Illustrative example; SAMPLE RANK-TESTS; UMBRELLA ALTERNATIVES; ORDERED-ALTERNATIVES; ASYMPTOTIC POWER; HOMOGENEITY; EFFICIENCY;

D O I：

10.1007/s40010-020-00699-5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Testing of equality of populations is one of the fundamental problems in Science. In this paper, we propose a new class of nonparametric tests for testing of location parameters of the distribution of populations against restricted alternatives. The asymptotic distribution of the proposed test statistics is derived. In order to attain maximum efficiency of the proposed tests, a general optimal choice of weights of the proposed class of test statistics is established. Pitman asymptotic relative efficiency and simulation study is carried out of the proposed class of tests. An illustrative example is provided to see the execution of the proposed test.

引用

页码：543 / 553

页数：11

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