| 负多项分布的性质研究 |
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| 引用本文： | 王慧.负多项分布的性质研究[J].松辽学刊,2014(1):36-40. |
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| 作者姓名： | 王慧 |
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| 作者单位： | 淮北师范大学数学科学学院,安徽淮北235000 |
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| 基金项目： | 安徽省教育厅教育教学研究项目（2012gxk058）;淮北师范大学教学研究项目（jy110220） |
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| 摘 要： | 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.
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| 关 键 词： | 负多项分布 特征函数 数学期望 方差 可加性 |
The Nature of the Negative Multinomial Distribution |
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| WANG Hui.The Nature of the Negative Multinomial Distribution[J].Songliao Journal (Natural Science Edition),2014(1):36-40. |
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| Authors: | WANG Hui |
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| Institution: | WANG Hui ( School of Mathematical Science, Huaibei Normal University, Huaibei 235000, China) |
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| Abstract: | 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. |
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| Keywords: | negative multinomial distribution characteristic function mathematic expectation variance additivity |
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