The closure of the RR2 function and RR order was discussed respectively. On the one hand, the closure of linear,multiplication and addition of RR2 function are proved, and the RR2 concept is extended to the stochastic RR order. On the other hand, the relationship of RR order is maintained in monotonous transform, especially in the linear transform. If the density function of two-dimensional random variables is RR2 function, then its distribution and survival functions also are RR2 function, and the relationship of RR order is maintained in distribution function and survival function.%讨论了RR2函数和RR序的封闭性.一方面,证明了RR2函数的线性封闭性、乘法封闭性和加法封闭性,并将RR2的概念延伸到随机RR序;另一方面,证明了随机变量在单调变换中保持RR序关系,特别是在线性运算中保持序关系.如果二维随机变量的密度函数是RR2的,则其分布函数和生存函数也是RR2的,并且随机变量的RR序关系在分布函数和生存函数也能保持.
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