MOMENT INEQUALITIES FOR FUNCTIONALS OF THE BROWNIAN CONVEX-HULL

被引:4
作者
KHOSHNEVISAN, D [1 ]
机构
[1] MIT,CAMBRIDGE,MA 02139
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
收藏
页码:627 / 630
页数:4
相关论文
共 50 条
  • [1] A CRITICAL FUNCTION FOR THE PLANAR BROWNIAN CONVEX-HULL
    MOUNTFORD, TS
    LECTURE NOTES IN MATHEMATICS, 1992, 1526 : 107 - 112
  • [2] THE CONVEX-HULL OF A SET OF CONVEX POLYGONS
    CHEN, H
    ROKNE, J
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1992, 42 (3-4) : 163 - 172
  • [3] Convex Hull of Brownian Motion and Brownian Bridge
    Sebek, Stjepan
    MARKOV PROCESSES AND RELATED FIELDS, 2024, 30 (04) : 459 - 475
  • [4] A COUNTEREXAMPLE TO A CONVEX-HULL ALGORITHM FOR POLYGONS
    TOUSSAINT, G
    PATTERN RECOGNITION, 1991, 24 (02) : 183 - 184
  • [5] APPLICATIONS OF A SEMIDYNAMIC CONVEX-HULL ALGORITHM
    HERSHBERGER, J
    SURI, S
    BIT, 1992, 32 (02): : 249 - 267
  • [6] DISTRIBUTED ALGORITHM FOR THE PLANAR CONVEX-HULL PROBLEM
    BEZ, HE
    EDWARDS, J
    COMPUTER-AIDED DESIGN, 1990, 22 (02) : 81 - 86
  • [7] A connectionist model for convex-hull of a planar set
    Datta, A
    Pal, S
    Pal, NR
    NEURAL NETWORKS, 2000, 13 (03) : 377 - 384
  • [8] Convex-Hull Algorithms: Implementation, Testing, and Experimentation
    Gamby, Ask Neve
    Katajainen, Jyrki
    ALGORITHMS, 2018, 11 (12):
  • [9] A Faster Convex-Hull Algorithm via Bucketing
    Gamby, Ask Neve
    Katajainen, Jyrki
    ANALYSIS OF EXPERIMENTAL ALGORITHMS, SEA2 2019, 2019, 11544 : 473 - 489
  • [10] Character segmentation using convex-hull techniques
    Chang, TC
    Chen, SY
    INTERNATIONAL JOURNAL OF PATTERN RECOGNITION AND ARTIFICIAL INTELLIGENCE, 1999, 13 (06) : 833 - 858