This article is cited in 11 papers

Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution

B. Roos

The University of Hamburg

Abstract: The generalized multinomial distribution is approximated by multinomial distributions and also by finite signed measures resulting from the corresponding multivariate Krawtchouk expansion. Bounds for the total variation norm and the $\ell_\infty$-norm are presented. The method used is a multivariate extension of that in [B. Roos, Theory Probab. Appl., 45 (2000), pp. 258–272], although additional complications occur.

Keywords: multinomial approximation, generalized multinomial distribution, multivariate Krawtchouk expansion, signed measures, total variation norm, $\ell_\infty$-norm.

Received: 22.11.1998

Language: English

DOI: 10.4213/tvp3954

 English version: Theory of Probability and its Applications, 2002, 46:1, 103–117

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