Moment inequalities for the partial sums of random variables

被引：1

作者：

Shanchao Yang

机构：

[1] Guangxi Normal University,Department of Mathematics and Computer Science

来源：

Science in China Series A: Mathematics | 2001年 / 44卷

关键词：

partial sum; M-Z-B type inequality; Rosenthal type inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper discusses the conditions under which Rosenthal type inequality is obtained from M-Z-B type inequality. And M-Z-B type inequality is proved for a wide class of random variables. Hence Rosenthal type inequalities for some classes of random variables are obtained.

引用

页码：1 / 6

页数：5

共 50 条

[1] Moment inequalities for the partial sums of random variables
Yang, SC
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 2001, 44 (01): : 1 - 6
[2] Moment inequalities for the partial sums of random variables
杨善朝
[J]. Science China Mathematics, 2001, (01) : 1 - 6
[3] Moment inequalities for sums of DMRL random variables
Fagiuoli, E
Pellerey, F
[J]. JOURNAL OF APPLIED PROBABILITY, 1997, 34 (02) : 525 - 535
[4] Moment inequalities for sums of products of independent random variables
Yang Shanchao
[J]. STATISTICS & PROBABILITY LETTERS, 2006, 76 (18) : 1994 - 2000
[5] Moment inequalities for sums of certain dependent random variables
Louhichi, S
[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS, 2002, 47 (04) : 649 - 664
[6] MOMENT INEQUALITIES FOR MAXIMUM OF PARTIAL SUMS OF RANDOM FIELDS
MORICZ, F
[J]. ACTA SCIENTIARUM MATHEMATICARUM, 1977, 39 (3-4): : 353 - 366
[7] Moment inequalities for sums of certain independent symmetric random variables
Hitczenko, P
MontgomerySmith, SJ
Oleszkiewicz, K
[J]. STUDIA MATHEMATICA, 1997, 123 (01) : 15 - 42
[8] Some Inequalities of Partial Sums for Negatively Dependent Random Variables
Huang, Haiwu
Wu, Qunying
Deng, Guangming
[J]. MECHANICAL ENGINEERING AND INTELLIGENT SYSTEMS, PTS 1 AND 2, 2012, 195-196 : 694 - +
[9] SOME INEQUALITIES FOR MAXIMUM OF PARTIAL SUMS OF RANDOM-VARIABLES
MOGYORODI, J
[J]. MATHEMATISCHE NACHRICHTEN, 1975, 70 : 71 - 85
[10] Moment Inequalities for Sums of Dependent Random Variables under Projective Conditions
Rio, Emmanuel
[J]. JOURNAL OF THEORETICAL PROBABILITY, 2009, 22 (01) : 146 - 163

← 1 2 3 4 5 →