ON NON-ADDITIVE PROBABILITY MEASURES

被引:1
|
作者
Riecan, Beloslav [1 ,2 ]
Samuelcik, Karol [3 ]
机构
[1] Matej Bel Univ, Fac Nat Sci, Tajovskeho 40, Banska Bystrica, Slovakia
[2] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava, Slovakia
[3] Finance Off Slovak Republ, Dept IT, Nova 3, Banska Bystrica 97401, Slovakia
关键词
subadditive probability measure; central limit theorem;
D O I
10.1515/ms-2017-0071
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The additivity of considered measures or integrals resp. can be omitted in some problems of mathematical analysis and its applications. In the paper it is shown that similar situations are possible also in the probability theory. As an example is proved a generalized version of the central limit theorem about the convergence of arithmetical means of independent random variables to the Gauss distribution. (C) 2017 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:1571 / 1576
页数:6
相关论文
共 50 条
  • [1] Non-additive measures by interval probability functions
    Tanaka, H
    Sugihara, K
    Maeda, Y
    [J]. INFORMATION SCIENCES, 2004, 164 (1-4) : 209 - 227
  • [2] On the polytope of non-additive measures
    Combarro, Elias F.
    Miranda, Pedro
    [J]. FUZZY SETS AND SYSTEMS, 2008, 159 (16) : 2145 - 2162
  • [3] NON-ADDITIVE MEASURES OF INACCURACY
    GUPTA, HC
    SHARMA, BD
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1976, 26 (04) : 584 - 595
  • [4] ADDITIVE AND NON-ADDITIVE MEASURES OF DIRECTED DIVERGENCE
    BEHARA, M
    NATH, P
    [J]. KYBERNETIKA, 1980, 16 (01) : 1 - 12
  • [5] A Note on Extensions of Non-additive Measures
    Ptak, Pavel
    Weber, Hans
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2021, 60 (02) : 512 - 514
  • [6] Precise Determination of Non-additive Measures
    Guo, Hai-Feng
    Zheng, Wen
    Ci, Song
    [J]. 2008 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2008, : 390 - +
  • [7] Ternary Kleenean non-additive measures
    Araki, T
    Mukaidono, M
    Yamamoto, F
    [J]. BEYOND TWO: THEORY AND APPLICATIONS OF MULTIPLE-VALUED LOGIC, 2003, 114 : 237 - 250
  • [8] A Note on Extensions of Non-additive Measures
    Pavel Pták
    Hans Weber
    [J]. International Journal of Theoretical Physics, 2021, 60 : 512 - 514
  • [9] Some aspects of non-additive measures
    Stajner-Papuga, Ivana
    [J]. IEEE 13TH INTERNATIONAL SYMPOSIUM ON INTELLIGENT SYSTEMS AND INFORMATICS (SISY), 2015, : 13 - 13
  • [10] Coherent updating of non-additive measures
    Miranda, Enrique
    Montes, Ignacio
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2015, 56 : 159 - 177