【摘要】 本文围绕两个独立同分布的随机变量其和与差的独立性问题展开探讨.对于五种常见的分布，结合实例说明了两个相互独立的随机变量其和与差不独立；对于两个独立同分布的正态随机变量，证明了其和与差是相互独立的.更多还原

【Abstract】 In this paper, the independence of the sum and the difference of two independent and identically distributed random variables is discussed. For the five well-known distributions, we give specific examples to show that the sum and the difference of two independent and identically distributed random variables are not independent. For two independent and identically distributed normal random variables, we prove that the sum and the difference are independent.更多还原