“Multinomial Distribution”的概念、定义、习题解题方法及翻译-数学辞典

单词

Multinomial Distribution

释义

Multinomial Distribution

Let a set of random variates , , ..., have a probability function

(1)

where

are Positive Integers,

, and

(2)

(3)

Then the joint distribution of

, ...,

is a multinomial distribution and

is given by the corresponding coefficient of the Multinomial Series

(4)

The Mean and Variance of

are

			(5)
			(6)

The Covariance of

and

(7)

See also Binomial Distribution

References

Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 532, 1987.

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