MOMENT INEQUALITIES FOR FUNCTIONALS OF THE BROWNIAN CONVEX-HULL

被引：4

作者：

KHOSHNEVISAN, D ^{[1
]}

机构：

[1] MIT,CAMBRIDGE,MA 02139

来源：

ANNALS OF PROBABILITY | 1992年 / 20卷 / 02期

关键词：

CONVEX HULL; BROWNIAN MOTION; BDG INEQUALITY;

D O I：

10.1214/aop/1176989794

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 briefly show an extension of inequalities of Burkholder and Gundy for linear Brownian motion to certain monotone functionals of the d-dimensional Brownian convex hull. Our results belong to a class of results that imply that Brownian hulls are much like the one-dimensional maximal process.

引用

页码：627 / 630

页数：4

共 50 条

[31] LINEAR-PROGRAMMING APPROACHES TO THE CONVEX-HULL PROBLEM IN R(M)
PARDALOS, PM
LI, Y
HAGER, WW
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (07) : 23 - 29
[32] A FAST ALGORITHM FOR CONVEX-HULL EXTRACTION IN 2D IMAGES
YE, QZ
PATTERN RECOGNITION LETTERS, 1995, 16 (05) : 531 - 537
[33] A convex-hull based method with manifold projections for detecting cell protrusions
Huang Z.
Wu Z.
Yan H.
Computers in Biology and Medicine, 2024, 173
[34] THE CONVEX-HULL OF 2 CORE CAPACITATED NETWORK DESIGN-PROBLEMS
MAGNANTI, TL
MIRCHANDANI, P
VACHANI, R
MATHEMATICAL PROGRAMMING, 1993, 60 (02) : 233 - 250
[35] DERANDOMIZING AN OUTPUT-SENSITIVE CONVEX-HULL ALGORITHM IN 3 DIMENSIONS
CHAZELLE, B
MATOUSEK, J
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 1995, 5 (01): : 27 - 32
[36] Volumetric properties of the convex hull of an n-dimensional Brownian motion
Eldan, Ronen
ELECTRONIC JOURNAL OF PROBABILITY, 2014, 19 : 1 - 34
[37] SYNTHETIC DISCRIMINANT FUNCTIONS FOR RECOGNITION OF IMAGES ON THE BOUNDARY OF THE CONVEX-HULL OF THE TRAINING SET
KUMAR, BVKV
BRASHER, JD
HESTER, CF
SRINIVASAN, G
BOLLAPRAGADA, S
PATTERN RECOGNITION, 1994, 27 (04) : 543 - 548
[38] A short convex-hull proof for the all-different system with the inclusion property
Di Summa, Marco
OPERATIONS RESEARCH LETTERS, 2015, 43 (01) : 69 - 73
[39] ITERATIVE ALGORITHMS FOR THE PLANAR CONVEX-HULL PROBLEM ON MESH-CONNECTED ARRAYS
HOLEY, JA
IBARRA, OH
PARALLEL COMPUTING, 1992, 18 (03) : 281 - 296
[40] REPRESENTATION OF BOUNDED CONVEX-SETS BY RATIONAL CONVEX-HULL OF ITS GAMMA-EXTREME POINTS
PHU, HX
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1994, 15 (7-8) : 915 - 920

← 1 2 3 4 5 →