On uniform laws of large numbers for smoothed empirical measures

被引：0
|
作者：
Gaenssler, P [1 ]
Rost, D [1 ]
机构：
[1] Univ Munich, Inst Math, D-80333 Munich, Germany
来源：
HIGH DIMENSIONAL PROBABILITY II | 2000年 / 47卷
关键词：
D O I：
暂无
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 consider function-indexed smoothed empirical measures on linear metric spaces and focus on uniform laws of large numbers (ULLN) comparable with Glivenko-Cantelli results in the non-smoothed case. Using the random measure process approach we are able to give a set of sufficient conditions for a ULLN which are different from the ones known in the literature and are more close to being necessary.
引用
收藏
页码：79 / 87
页数：9
相关论文
共 50 条
  • [41] Weak laws of large numbers for cooperative gamblers
    Sándor Csörgő
    Gordon Simons
    Periodica Mathematica Hungarica, 2008, 57 : 31 - 60
  • [42] Laws of Large Numbers for Certain Abstract Means
    Lebedev, A., V
    MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2021, 76 (03) : 139 - 143
  • [43] Laws of large numbers in the raise and peel model
    Povolotsky, A. M.
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2019,
  • [44] Cesaro α-Integrability and laws of large numbers I
    Chandra, TK
    Goswami, A
    JOURNAL OF THEORETICAL PROBABILITY, 2003, 16 (03) : 655 - 669
  • [45] LAWS OF LARGE NUMBERS OF HYPERGROUPS ON R+
    ZEUNER, H
    MATHEMATISCHE ANNALEN, 1989, 283 (04) : 657 - 678
  • [46] ON THE CONDITIONAL LAWS OF LARGE NUMBERS-II
    KALMAR, IG
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 1982, 29 (1-2): : 29 - 41
  • [47] MOMENT INEQUALITIES AND STRONG LAWS OF LARGE NUMBERS
    MORICZ, F
    ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1976, 35 (04): : 299 - 314
  • [48] Strong laws of large numbers for random forests
    A. Chuprunov
    I. Fazekas
    Acta Mathematica Hungarica, 2009, 124 : 59 - 71
  • [49] Laws of large numbers for the number of weak records
    Gouet, Raul
    Lopez, F. Javier
    Sanz, Gerardo
    STATISTICS & PROBABILITY LETTERS, 2008, 78 (14) : 2010 - 2017
  • [50] WEAK LAWS OF LARGE NUMBERS FOR COOPERATIVE GAMBLERS
    Csoergo, Sandor
    Simons, Gordon
    PERIODICA MATHEMATICA HUNGARICA, 2008, 57 (01) : 31 - 60
12345