STOCHASTIC MONOTONICITY AND SLEPIAN-TYPE INEQUALITIES FOR INFINITELY DIVISIBLE AND STABLE RANDOM VECTORS

被引：16

作者：

SAMORODNITSKY, G ^{[1
]}

TAQQU, MS ^{[1
]}

机构：

[1] BOSTON UNIV, DEPT MATH, BOSTON, MA 02215 USA

来源：

ANNALS OF PROBABILITY | 1993年 / 21卷 / 01期

关键词：

STOCHASTIC DOMINATION; SLEPIAN INEQUALITY; INFINITELY DIVISIBLE DISTRIBUTIONS; STABLE DISTRIBUTIONS;

D O I：

10.1214/aop/1176989397

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 study the relation between stochastic domination of an infinitely divisible random vector X by another infinitely divisible random vector Y and their corresponding Levy measures. The results are used to derive a Slepian-type inequality for a general class of symmetric infinitely divisible random vectors.

引用

页码：143 / 160

页数：18

共 19 条

[1] Billingsley P., 1985, PROBABILITY MEASURE
[2] INEQUALITIES FOR MULTIVARIATE INFINITELY DIVISIBLE PROCESSES
BROWN, LD
RINOTT, Y
[J]. ANNALS OF PROBABILITY, 1988, 16 (02) : 642 - 657
[3] DUDLEY RM, 1989, REAL ANAL PROBABILIT
[4] Feller W., 1971, INTRO PROBABILITY TH, VVolume II
[5] Fernique X., 1975, LECT NOTES MATH, P1
[6] ASSOCIATION OF NORMAL RANDOM-VARIABLES AND SLEPIANS INEQUALITY
JOAGDEV, K
PERLMAN, MD
PITT, LD
[J]. ANNALS OF PROBABILITY, 1983, 11 (02) : 451 - 455
[7] Kemperman, 1977, INDAG MATH, V80, DOI [10.1016/1385-7258(77)90027-0, DOI 10.1016/1385-7258(77)90027-0]
[8] REPRESENTATION THEOREM FOR SYMMETRIC STABLE PROCESSES AND STABLE MEASURES ON H
KUELBS, J
[J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1973, 26 (04): : 259 - 271
[9] Ledoux M., 1991, PROBABILITY BANACH S
[10] ASSOCIATION OF STABLE RANDOM-VARIABLES
LEE, MLT
RACHEV, ST
SAMORODNITSKY, G
[J]. ANNALS OF PROBABILITY, 1990, 18 (04) : 1759 - 1764

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