离散型随机变量数字特征的计算方法
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摘要
随机变量的数字特征描述了随机变量变化的全貌特点,因此研究随机变量数字特征的计算方法非常必要。以离散型随机变量为研究对象,以母函数为研究工具,讨论了离散型随机变量数学期望和方差的计算方法,给出了计算均值与方差的公式法、随机变量分解法和母函数法。
The digital characteristics of random variables describes the whole feature of random variables,therefore studying calculation method of digital characteristics of random variables is very necessary.In this paper,the discrete random variable as the research object,the generating function as a research tool,the calculation method of mathematical expectation and variance of discrete random variable are discussed,it gives three kinds of calculating methods,including formula method,random variable decomposition method and generating function method.
The digital characteristics of random variables describes the whole feature of random variables,therefore studying calculation method of digital characteristics of random variables is very necessary.In this paper,the discrete random variable as the research object,the generating function as a research tool,the calculation method of mathematical expectation and variance of discrete random variable are discussed,it gives three kinds of calculating methods,including formula method,random variable decomposition method and generating function method.
引文
[1]李正耀,周德强.概率论与数理统计[M].北京:科学出版社,2009:80-97.
[2]侯文.常用概率分布间的关系[J].辽宁师范大学学报,2005,28(4):503-505.
[3]匡能晖.超几何分布的数学期望和方差的定义求法[J].高等数学研究,2010,13(4):73-74.
[4]复旦大学.概率论(第一册:概率论基础)[M].北京:人民教育出版社,1979.
[5]赵天玉.基于母函数的常用离散型随机变量概率分布研究[J].长江大学学报(自然科学版),2013,10(28):1-3.
长江大学精品课程《概率论与数理统计》。
[2]侯文.常用概率分布间的关系[J].辽宁师范大学学报,2005,28(4):503-505.
[3]匡能晖.超几何分布的数学期望和方差的定义求法[J].高等数学研究,2010,13(4):73-74.
[4]复旦大学.概率论(第一册:概率论基础)[M].北京:人民教育出版社,1979.
[5]赵天玉.基于母函数的常用离散型随机变量概率分布研究[J].长江大学学报(自然科学版),2013,10(28):1-3.
长江大学精品课程《概率论与数理统计》。