【摘要】 在离散型随机变量中,二项分布、泊松分布、几何分布和超几何分布占有重要地位。对于这类取非负整数值的随机变量,其母函数有极好的分析性质。在研究这类随机变量的分布问题时,采用母函数方法,可以使问题的分析与计算化难为易,化繁为简。在计算上述4种重要离散型随机变量的数字特征问题时,母函数是一种有效的方法。更多还原

【Abstract】 Binomial distribution,Poisson distribution,geometric distribution and super geometry distribution play an important role in the discrete distributions.The generating function has excellent analysis properties for its class of nonnegative integer-valued random variables.In the study of this kind of random variable distribution problem using the generating function method,can make the problem of analysis and calculation easy,change numerous for brief.Generating functions in the calculation of the four important kinds of discrete type random variable the numerical characteristic problem is a kind of effective method.更多还原