Advances and Applications in Statistics
Volume 50, Issue 2, Pages 107 - 121
(February 2017) http://dx.doi.org/10.17654/AS050020107 |
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ON TESTING AGAINST POSITIVE QUADRANT DEPENDENCE BASED ON SUB-SAMPLE ORDER STATISTICS
Parameshwar V. Pandit and Savitha Kumari
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Abstract: A new class of tests based on convex combination of the two statistics is proposed. These are functions of sub-sample order statistics. The classes of tests proposed by Kochar and Gupta [6], Shetty and Pandit [16], Pandit and Kumari [11] and Kendall’s test lie in the proposed class of test statistics. The asymptotic normality of the proposed class of tests is established. It has been observed that some members of the class perform better than the existing tests. Unbiasedness and consistency of the proposed class of tests are established. |
Keywords and phrases: distribution-free, positive quadrant dependence, convex combination of test statistics, U-statistic. |
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