The closure properties of RR_2 function and RR order

Haiyan Song · Basic Sciences Journal of Textile Universities · 2012

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.

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