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- Title
The closure properties of RR<sub>2</sub> function and RR order.
- Authors
ZENG Xian-fu; SONG Hai-yan
- Abstract
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 varia-bles is RR2 function, then its distribution and survival functions also are RR2 function, and the relation-ship of RR order is maintained in distribution function and survival function.
- Subjects
MULTIPLICATION; STOCHASTIC orders; MATHEMATICAL transformations; RANDOM variables; DENSITY functionals; DISTRIBUTION (Probability theory); MATHEMATICAL analysis
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2012, Vol 25, Issue 2, p166
- ISSN
1006-8341
- Publication type
Article