On Strong Deviation Theorems Concerning Arrays of Non-negative Integer-valued Random Variables

被引：0
|
作者：
Song, Jing [1 ]
Chen, Shu [1 ]
Wang, Zhongzhi [1 ]
机构：
[1] AnHui Univ Technol, Sch Math & Phys, Maanshan 243002, Peoples R China
来源：
JOURNAL OF MATHEMATICAL STUDY | 2022年 / 55卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Generating function; strong deviation theorem; general relative entropy; ENTROPY;
D O I：
10.4208/jms.v55n2.22.07
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, by using the notion of general relative entropy as a measure of dependence of random variables, a kind of strong deviation theorems for the averages of array of integer-valued random variables are established. At the end of this paper, we give the upper and lower bounds for general moving averages of the form.
引用
收藏
页码：206 / 215
页数：10
相关论文
共 50 条
  • [1] A class of Strong Deviation Theorems for the Sequence of arbitrary Integer-Valued Random Variables
    Jin, Shao-hua
    Lu, Jian-guo
    Wang, Nan
    Jiang, Hui-hui
    ICIC 2009: SECOND INTERNATIONAL CONFERENCE ON INFORMATION AND COMPUTING SCIENCE, VOL 3, PROCEEDINGS: APPLIED MATHEMATICS, SYSTEM MODELLING AND CONTROL, 2009, : 193 - +
  • [2] A Strong Deviation Theorem for the Sequence of Integer-Valued Random variables
    Jin, Shaohua
    Zhang, Lijuan
    Zhong, Yanyan
    Jiang, Huihui
    PROCEEDINGS OF 2008 INTERNATIONAL PRE-OLYMPIC CONGRESS ON COMPUTER SCIENCE, VOL II: INFORMATION SCIENCE AND ENGINEERING, 2008, : 167 - 171
  • [3] A kind of strong deviation theorem for the sequences of nonnegative integer-valued random variables
    Wen, L
    STATISTICS & PROBABILITY LETTERS, 1997, 32 (04) : 343 - 349
  • [4] A class of strong deviation theorems for the sequence of nonnegative integer valued random variables
    Wang, Xuewu
    STATISTICS & PROBABILITY LETTERS, 2008, 78 (18) : 3281 - 3287
  • [5] Semigroups of non-negative integer-valued matrices
    Baeth, N. R.
    Chen, H.
    Heilbrunn, G.
    Liu, R.
    Young, M.
    COMMUNICATIONS IN ALGEBRA, 2022, 50 (03) : 1199 - 1219
  • [6] A Strong Law For the Sequence of Integer-Valued Random variables
    Jin, Shaohua
    Song, Minna
    Zhang, Huipeng
    Liu, Huitao
    PROCEEDINGS OF FIRST INTERNATIONAL CONFERENCE OF MODELLING AND SIMULATION, VOL II: MATHEMATICAL MODELLING, 2008, : 40 - 43
  • [7] A non-uniform bound on Poisson approximation for a sum of independent non-negative integer-valued random variables
    Kongkam, Pronsuda
    Teerapaolarn, Kanint
    INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2023, 18 (03): : 557 - +
  • [8] On Normalization of Integer-Valued Random Variables
    Klebanov L.B.
    Journal of Mathematical Sciences, 2024, 281 (1) : 94 - 99
  • [9] Transformations of non-negative integer-valued matrices that preserve the determinant
    Guterman, AE
    RUSSIAN MATHEMATICAL SURVEYS, 2003, 58 (06) : 1200 - 1201
  • [10] A class of strong laws for the sequences of nonnegative integer-valued random variables
    Liu, W
    CHINESE SCIENCE BULLETIN, 1995, 40 (23): : 1937 - 1943
12345