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Topic: Multinomial coefficient

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Geometric series

Infinite series

	Binomial Coefficients
		Binomial coefficients are intimately related to Bernoulli numbers, Catalán numbers, Fibonacci numbers, statistics and a host of combinatoric problems.
		n!) = (2^n/n!) [1(3)(5)(7)...(2n-1)] The Binomial theorem n SUM (n k) x^k y^{n-k} = (x + y)^n k=0 n SUM (n k) = 2^n k=0 This being a special case of the generalization from the multinomial theorem with m variables: n n SUM (n {a}) x_1^n_1 x_2^n_2...
		x_m^n_m = (SUM x_k)^n {a} k=1 where (n {a}) are multinomial coefficients m (n {a}) := n!
	graham.main.nc.us /~bhammel/MATH/binom.html (437 words)

	University of Kent, IMSAS Publication List for the Statistics Research Group (since 2001) (Site not responding. Last check: 2007-10-31)
		Bayesian Variable Selection in Multinomial Probit Models to Identify Molecular Signatures of Disease Stage, N. Sha, M. Vannucci, M.G. Tadesse, P.J. Brown, I. Dragoni, N. Davies, T. Roberts, A. Contestabile, M. Salmon, C. Buckley and F. Falciani, Biometrics, 60, pages 812-819, 2004.
		Sieve empirical likelihood ratio tests for nonparametric functions, J. Fan and J. Zhang, Ann.
		Local polynomial fitting in semivarying coefficient models, Wenyang Zhang, S. Lee and X. Song, Journal of Multivariate Analysis, 82(1), pages 166-188, Jul 2002.
	www.kent.ac.uk /IMS/publications/indexes/statistics.htm (3290 words)

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