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The Multinomial Distribution

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Bayes Theory

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

A discrete random variable X takes values i = 1, 2,...,k with probabilities {p i , i = 1, 2,...,k}. A sample of size n from X gives the value X = i n i times. The multivariate distribution {n i , i = 1,..., k} is multinomial with parameters n, {p i , i = 1,..., k}. It is ubiquitous in problems dealing with discrete data. The values 1, 2,...,k are called categories or cells.

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© 1983 Springer-Verlag New York Inc.

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Hartigan, J.A. (1983). The Multinomial Distribution. In: Bayes Theory. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8242-3_10

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  • DOI: https://doi.org/10.1007/978-1-4613-8242-3_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8244-7

  • Online ISBN: 978-1-4613-8242-3

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