Higher order monotonic functions of several variables

被引：8

作者：

Ressel, Paul ^{[1
]}

机构：

[1] Katholische Univ Eichstatt Ingolstadt, MGF, D-85072 Eichstatt, Germany

来源：

POSITIVITY | 2014年 / 18卷 / 02期

关键词：

Higher order monotonic; n-monotone; Absolutely monotone; Bauer simplex; Multivariate distribution function;

D O I：

10.1007/s11117-013-0244-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Multivariate functions with a specific degree of higher order monotonicity in each variable are introduced. When normalized, they turn out to form a simplex whose extreme points are precisely the tensor products of their univariate counterparts. Under natural conditions on the degrees these functions will be shown to operate on each other.

引用

页码：257 / 285

页数：29

共 9 条

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