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On an Interesting Property of a Combinatorial Function

Published online by Cambridge University Press:  20 November 2018

P. C. Consul  and
M. J. Kemp
P. C. Consul
Affiliation:
University of Calgary, Calgary, Alberta
M. J. Kemp
Affiliation:
University of Calgary, Calgary, Alberta
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Extract

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For any two integers n and k we take, as usual,

Using the above symbol we define a new function F(q, 2n) by a sum of two finite sums given by

1.1

for i ≠ q, and whenever q is an odd integer.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 13 , Issue 4 , December 1970 , pp. 533 - 536
Copyright
Copyright © Canadian Mathematical Society 1970

References

1. Anderson, T. W., Introduction to Multivariate Statistical Analysis, Wiley, New York, 1958.Google Scholar
2. Consul, P. C., On the exact distributions of the likelihood ratio criteria for testing linear hypotheses about regression coefficients, Ann. Math. Statist. 37 (1966), 1319-1330.Google Scholar
3. Kemp, M. J., Unpublished work for M.Sc. Thesis, 1969.Google Scholar