Limit laws for martingales in vector lattices

被引：3
作者：
Stoica, George [1 ]
机构：
[1] 5 Deveber Terrace, St John, NB E2K 2B5, Canada
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 476卷 / 02期
关键词：
Limit law; Vector lattice; Martingale; Order convergence; CONVERGENCE;
D O I：
10.1016/j.jmaa.2019.04.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove limit laws for martingales in vector lattices, under suitable technical hypotheses involving the increments of the sequences therein. (C) 2019 Elsevier Inc. All rights reserved.
引用
收藏
页码：715 / 719
页数：5
相关论文
共 12 条
  • [1] UO-CONVERGENCE AND ITS APPLICATIONS TO CESARO MEANS IN BANACH LATTICES
    Gao, N.
    Troitsky, V. G.
    Xanthos, F.
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2017, 220 (02) : 649 - 689
  • [2] Unbounded order convergence and application to martingales without probability
    Gao, Niushan
    Xanthos, Foivos
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 415 (02) : 931 - 947
  • [3] Ergodic theory and the strong law of large numbers on Riesz spaces
    Kuo, Wen-Chi
    Labuschagne, Coenraad C. A.
    Watson, Bruce A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 422 - 437
  • [4] Mixing inequalities in Riesz spaces
    Kuo, Wen-Chi
    Rogans, Michael J.
    Watson, Bruce A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 456 (02) : 992 - 1004
  • [5] Mixingales on Riesz spaces
    Kuo, Wen-Chi
    Vardy, Jessica Joy
    Watson, Bruce Alastair
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (02) : 731 - 738
  • [6] Market completeness: A return to order
    Stoica, G
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (01) : 285 - 290
  • [7] Stoica G., 1994, STUD CERC MAT, V46, P477
  • [8] Stoica G., 1991, B MATH SOC SCI MATH, V35, P155
  • [9] Stoica G, 1990, B MATH SOC SCI MATH, V34, P357
  • [10] Stoica G., 1993, ANN U BUCHAREST MATH, V42, P85
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