【摘要】 讨论了正态随机变量函数的分布性问题 ,给出了若干非线性函数 ,使得复合随机变量仍然服从正态分布。在某些特定条件下 ,给出了使得复合随机变量服从正态分布的充要或充分条件 ,对于更一般的情况 ,提出了若干未解决的问题更多还原

【Abstract】 This paper investigates the distributions for functions of normal random variables,and gives some nonlinear functions such that the compound random variable is also normally distributed.Several sufficient and necessity or sufficient conditions are given under some special conditions,and some open problems are also presented for more general cases.更多还原