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 …

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 …

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 …

我们详细介绍 多项分布（Multinomial Distribution）的概率质量函数（PMF），从定义到推导，一步步拆解。

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 …

Jun 13, 2025 · In this section, we'll introduce the definition and properties of the multinomial distribution, compare it with the binomial distribution, and discuss its importance in statistics …

Dec 22, 2025 · Then the joint distribution of , ..., is a multinomial distribution and is given by the corresponding coefficient of the multinomial series

Jun 25, 2025 · Discover the intricacies of the multinomial distribution in this informative article. Learn about its definition, applications in statistics, and how to calculate probabilities for …