概率論中幾種具有可加性的分布及其關(guān)系-文庫吧在線文庫
【正文】 旦大學(xué)出版社，：221231.[3]唐玲，[J].安徽建筑工業(yè)學(xué)院學(xué)報，：83頁.[4] [J].淮陰工學(xué)院學(xué)報，：12頁.[5] 茆詩松，程依明，[M].北京：高等教育出版社，:155…………………………………………………………………4 伽瑪分布…………………………………………………………………………… 6 柯西分布……………………………………………………………………………… 7 卡方分布 ………………………………………………………………………………72 具有可加性的概率分布間的關(guān)系 ……………………………………………………… 8 二項(xiàng)分布的泊松近似 …………………………………………………………………8 二項(xiàng)分布的正態(tài)近似 …………………………………………………………………9 正態(tài)分布與泊松分布間的關(guān)系………………………………………………………10 正態(tài)分布與柯西分布、卡方分布及卡方分布與伽瑪分布的關(guān)系…………………113 小結(jié)……………………………………………………………………………………… 12參考文獻(xiàn)…………………………………………………………………………………… 12致謝………………………………………………………………………………………… 13 概率論中幾種具有可加性的分布及其關(guān)系摘要 ，這里給出了概率論中幾種具有可加性的分布：二項(xiàng)分布，泊松分布，正態(tài)分布，柯西分布，這里給出了證明分布可加性的兩種方法，文章就可加性分布之間的各種關(guān)系，如二項(xiàng)分布的泊松近似，棣莫佛拉普拉斯中心極限定理等，進(jìn)行了不同層次的討論.關(guān)鍵詞 概率分布 可加性 相互獨(dú)立 特征函數(shù)Several Kinds of Probability Dstribution and its Relationship with AdditiveAbstract Probability and mathematical statistics in the probability distribution of additivity is a very important distribution of the socalled additivity refers to the distribution of the same kind of independent random variables and distribution are still belong to this kind of with its characteristics, here given several has additivity distribution in probability theory: the binomial distribution, poisson distribution and normal distribution and cauchy distribution, chisquare distribution and gamma discusses the nature of all kinds of distribution and its proof of additivity, additive of proof distribution are also given two methods, namely using convolution formula and characteristic functi
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