Large deviation principles for stationary NA sequences 被引量：1

Large deviation principles for stationary NA sequences

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摘要 Under general conditions, the large deviation principles for partial sums of stationary NA sequences are proved. Under general conditions, the large deviation principles for partial sums of stationary NA sequences are proved.

作者 HU Yijun Department of Mathematics, Wuhan University, Wuhan 430072, China

出处《Chinese Science Bulletin》 SCIE EI CAS 1998年第7期536-540,共5页

基金 theNationalNaturalScienceFoundationofChina (GrantNo .195 0 10 33)

关键词 NA SEQUENCE STATIONARY SEQUENCE PARTIAL SUMS large deviation principle. NA sequence stationary sequence partial sums large deviation principle

分类号 O211 [理学—概率论与数理统计]

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参考文献13

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共引文献8

1Zhang Lixin\ Shi StrongwayDept.of Math.,Zhejiang Univ.,Xixi Campus,Hangzhou 310028,China..SELF-NORMALIZED CENTRAL LIMIT THEOREM AND ESTIMATION OF VARIANCE OF PARTIAL SUMS FOR NEGATIVE DEPENDENT RANDOM VARIABLES[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(3):326-334. 被引量：1
2胡亦钧,明瑞星,杨文权.LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR m-NEGATIVELY ASSOCIATED RANDOM VARIABLES[J].Acta Mathematica Scientia,2007,27(4):886-896. 被引量：8
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5De Hua QIU.Complete Convergence for Weighted Sums of Arrays of Rowwise Negatively Associated Random Variables[J].Journal of Mathematical Research and Exposition,2010,30(1):149-158. 被引量：1
6兰冲锋,吴群英.ND随机变量序列加权和的完全收敛性(英文)[J].应用数学,2015,28(1):57-64. 被引量：2
7孟兵,王定成,吴群英.渐近几乎负相关随机变量和的收敛性（英文）[J].应用概率统计,2019,35(4):345-359. 被引量：3
8费丹丹,付宗魁,张聪,孙莉敏.NA序列部分和精确渐近性的一般结果[J].数学的实践与认识,2020,50(24):158-164.

同被引文献3

1苏淳,王岳宝.同分布NA序列的强收敛性[J].应用概率统计,1998,14(2):131-140. 被引量：59
2LIN ZhengyanDepartment of Mathematics and Information Science, Hangzhou University, Hangzhou 310028, China.An invariance principle for negatively associated random variables[J].Chinese Science Bulletin,1997,42(5):359-364. 被引量：4
3苏淳,赵林城,王岳宝.Moment inequalities and weak convergence for negatively associated sequences[J].Science China Mathematics,1997,40(2):172-182. 被引量：44

引证文献1

1胡亦钧,明瑞星,杨文权.LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR m-NEGATIVELY ASSOCIATED RANDOM VARIABLES[J].Acta Mathematica Scientia,2007,27(4):886-896. 被引量：8

二级引证文献8

1GUO MING-LE,XU CHUN-YU,ZHU DONG-JIN.Complete Convergence of Weighted Sums for Arrays of Rowwise m-negatively Associated Random Variables[J].Communications in Mathematical Research,2014,30(1):41-50.
2WU Yong-feng.On the Strong Laws for Weighted Sums of m-negatively Asso ciated Random Variables[J].Chinese Quarterly Journal of Mathematics,2014,29(2):265-273. 被引量：3
3候萱,何晓霞,姚春,王志明.基于m相依序列的样本分位数的中偏差和大偏差[J].统计与决策,2015,31(12):24-25. 被引量：2
4孙琪,张梅.一类负相关随机变量Galton-Watson随机和的大偏差[J].北京师范大学学报（自然科学版）,2017,53(3):267-271.
5王宽程,高小明,杨英钟.行为m-NA阵列的若干极限理论[J].沈阳大学学报（自然科学版）,2020,32(6):535-538.
6谢超,陈夏,闫莉.m相依序列的样本分位数核估计的中偏差和大偏差[J].工程数学学报,2021,38(1):63-72. 被引量：1
7程书红.行为m-NA阵列的完全收敛性[J].延边大学学报（自然科学版）,2022,48(4):318-320. 被引量：1
8林德贵.行为m-NA随机变量阵列的完全收敛性[J].延边大学学报（自然科学版）,2024,50(1):39-42.

1Yi Ming JIANG Ke Hua SHI Yong Jin WANG.Large Deviation Principle for the Fourth-order Stochastic Heat Equations with Fractional Noises[J].Acta Mathematica Sinica,English Series,2010,26(1):89-106. 被引量：5
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Chinese Science Bulletin

1998年第7期

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