负多项分布的性质研究

The Nature of the Negative Multinomial Distribution

负多项分布是一种推广的伯努利试验的概率模型,本文首先计算出负多项分布的特征函数,然后以特征函数为主要工具,研究了负多项分布的若干重要性质,具体包括数学期望、方差,同概率参数下相互独立的负多项分布的可加性,最后给出负多项分布取得概率的最大值点.

The negative muhinomial distribution is a kind of probability distribution model based on the general Bernoulli experiment. In this paper, the characteristic function, the mathematic expectation and variance of the negative multinomial distribution are given. Next, we prove that the negative multinomial distributions mutually independently are additive. And the maximum probability points of the negative muhinomial distribution are given.