Journal of Advanced Statistics

Download PDF (205.3 KB) PP. 32 - 37 Pub. Date: March 1, 2016

DOI: 10.22606/jas.2016.11004

• Deepa R. Acharya
  Department of Statistics, Govt. Science College, Bangalore -560001
• Parameshwar V. Pandit^*
  Department of Statistics, Bangalore University, Bangalore-560056

Nonparametric tests for location problems have received much attention in the literature. Many nonparametric tests have been proposed for one, two and several samples location problems. In this paper a class of test statistics is proposed for two sample location problem when the underlying distributions of the samples are symmetric. The class of test statistics proposed is linear combination of U-statistics whose kernel is based on subsamples extrema. The members of the new class are shown to be asymptotically normal. The performance of the proposed class of tests is evaluated using Pitman Asymptotic Relative Efficiency. It is observed that the members of the proposed class of tests are better than the existing tests in the literature.

Asymptotic relative efficiency, two-sample location problems, Nonparametric Tests, Symmetric distributions, U-statistics.

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