Limit theorems for the multivariate binomial distribution |
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Institution: | Auburn University USA;University of California, Irvine, USA;Auburn University USA |
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Abstract: | Nonsingular limit distributions are determined for sequences of affine transformations of random vectors whose distributions are multivariate binomial. Each of these limit distributions is that of an affine transformation of a random vector having a multivariate normal distribution or a multivariate Possion distribution or a joint distribution of two independent random vectors, one normal and the other Poisson. |
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