In probability theory, the multinomial distribution is a generalization of the binomial distribution. For example, it models the probability of counts for each side of a k -sided die rolled n times.

多项式分布（Multinomial Distribution）是二项式分布的推广。二项分布的典型例子是扔硬币，硬币正面朝上概率为p, 重复扔n次硬币，k次为正面的概率即为一个二项分布概率。 把二项分布公式推广至多 …

2.按频率采样 multinomial ()函数的input可以是大于1的数，在函数内部会再次进行归一化。 例如在处理文本对word进行采样时，直接传入词典中每个词的词频就好了，不需要搜东归一化。

nn n 和概率向量 p= (p1,p2,⋯ ,pk)\boldsymbol {p} = (p_1, p_2, \cdots, p_k) p = (p1 ,p2 ,⋯,pk ) 的多项分布，记作： X∼Multinomial (n,p) \boldsymbol {X} \sim \text {Multinomial} (n, \boldsymbol {p}) X ∼ …

The multinomial distribution is defined as an extension of the binomial distribution for scenarios with more than two discrete outcomes, where N independent trials result in exactly one of K outcomes …

This connection between the multinomial and Multinoulli distributions will be illustrated in detail in the rest of this lecture and will be used to demonstrate several properties of the multinomial distribution.

Mar 25, 2026 · A multinomial distribution describes the probability of seeing a particular combination of outcomes when you repeat an experiment multiple times and each trial can land in one of several …

Multinomial distribution, in statistics, a generalization of the binomial distribution, which admits only two values (such as success and failure), to more than two values.

Lecture 7: Multinomial distribution Instructor: Yen-Chi Chen distribution is a common distribution for characterizing categorical variables. Suppose a random variable Z has k ategories, we can code …

The multinomial distribution can be used to answer questions such as" "If these two chess players played $12$ games, what is the probability that Player $A$ would win $7$ games, Player $B$ would …