Multinomial distribution

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High Quality Content by WIKIPEDIA articles! In probability theory, the multinomial distribution is a generalization of the binomial distribution. The binomial distribution is the probability distribution of the number of "successes" in n independent Bernoulli trials, with the same probability of "success" on each trial. In a multinomial distribution, the analog of the Bernoulli distribution is the categorical distribution, where each trial results in exactly one of some fixed finite number k of possible outcomes, with probabilities p1, ..., pk (so that pi 0 for i = 1, ..., k and sum{i=1}^k pi = 1), and there are n independent trials. Then let the random variables Xi indicate the number of times outcome number i was observed over the n trials. The vector X = (X1, ..., Xk) follows a multinomial distribution with parameters n and p, where p = (p1, ..., pk).

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131692550
    • Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
    • Größe H3mm x B220mm x T150mm
    • EAN 9786131692550
    • Format Fachbuch
    • Titel Multinomial distribution
    • Gewicht 107g
    • Herausgeber Alphascript Publishing
    • Anzahl Seiten 68
    • Genre Mathematik

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