ON THE CHARACTERIZATION OF A CLASS OF BINARY OPERATIONS ON DISTRIBUTION-FUNCTIONS

被引：140

作者：

ALSINA, C

NELSEN, RB

SCHWEIZER, B

机构：

[1] UNIV POLITECN CATALUNYA,DEPT MATEMAT & ESTADIST,BARCELONA,SPAIN

[2] LEWIS & CLARK COLL,DEPT MATH SCI,PORTLAND,OR 97219

[3] UNIV MASSACHUSETTS,DEPT MATH & STAT,AMHERST,MA 01003

来源：

STATISTICS & PROBABILITY LETTERS | 1993年 / 17卷 / 02期

关键词：

COPULAS; MIXTURES;

D O I：

10.1016/0167-7152(93)90001-Y

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We characterize the class of binary operations phi on distribution functions which are both induced pointwise, in the sense that the value of phi(F, G) at t is a function of F(t) and G(t) (e.g. mixtures), and derivable from functions on random variables (e.g. convolution).

引用

页码：85 / 89

页数：5