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On the Limiting Distribution of Some Statistics Proposed for Tests of Hypotheses
P. C. Consul
Sankhyā: The Indian Journal of Statistics, Series A (1961-2002)
Vol. 26, No. 2/3 (Dec., 1964), pp. 279-286
Published by: Indian Statistical Institute
Stable URL: http://www.jstor.org/stable/25049329
Page Count: 8
You can always find the topics here!Topics: Mellin transforms, Mathematical integrals, Mathematical moments, Matrices, Modified Bessel functions, Gases, Bessel functions, Statistics
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Wilks-Lawley U-statistic and Y-statistic have been introduced by Lawley (1938) and Bagai (1962) respectively for tests of hypotheses. We use their moments to obtain their limiting distributions for the cases l=2(1)8 with the help of Mellin Transforms.
Sankhyā: The Indian Journal of Statistics, Series A (1961-2002) © 1964 Indian Statistical Institute