期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

PA序列部分和之和的弱大数定律 被引量：3

Weak Law of Large Numbers for the Sum of Partial Sums of PA Sequences
下载PDF
导出
摘要 研究PA随机变量序列部分和之和Tn=∑ni=1Si其中(Sn=∑ni=1Xi)的弱大数定律,将PA随机变量序列"部分和"的弱大数定律推广到了"部分和之和"的情形(包括同分布和不同分布的情形). This paper discussed the weak law of large numbers for the sum of partial sums of PA sequences, and extended the application range of the law from partial sums to the sum of partial sums case, including both identically distributed and non-identically distributed cases.
作者 俞周晓 王文胜
机构地区 杭州师范大学理学院
出处 《杭州师范大学学报（自然科学版）》 CAS 2012年第2期181-184,共4页 Journal of Hangzhou Normal University(Natural Science Edition)
关键词 PA序列 部分和之和 弱大数定律 PA sequences quad sum of partial sums quad weak law of large numbers
分类号 O211.4 [理学—概率论与数理统计]
  • 相关文献

参考文献9

二级参考文献29

  • 1苏淳,赵林城,王岳宝.NA序列的矩不等式与弱收敛[J].中国科学（A辑）,1996,26(12):1091-1099. 被引量：88
  • 2白志东 苏淳.关于独立和的完全收敛性[J].中国科学：A辑,1985,(5):399-412.
  • 3Resnick S L. Limit laws for record values[J]. Stochastic Processes and Their Applications, 1973(1):67-82.
  • 4Arnold B C, Villasenor J A. The asymptotic distributions of sums of record[J]. Extremes, 1998(1):351-863.
  • 5Lehmann E I. Some concepts of dependence[J]. Ann Math Statist, 1966,43 (3) :1137-1153.
  • 6Matula P. A note on the almost sure eoncergence of sums of negatively dependent random variables[J]. Statistics & Probability Letters, 1992,15(3) :209-213.
  • 7Wittmann R. An application of Rosenthal's moment inequality to the strong law of large numbers[J]. Statistics & Probability Letters, 1985(3) : 131-133.
  • 8迟翔,苏淳.同分布NA序列的一个弱大数律[J].应用概率统计,1997,13(2):199-203. 被引量：20
  • 9[1]Matula P.A Note on the Almost Sure Convergence of Sums of Negatively Dependent Random Variables[J].Statist Prbab Lett,1992,15:209-213.
  • 10MATULA P. A Note on the Almost Sure Convergence of Sums of Negatively Dependent Random Variables [J]. Statist Prbab Lett,1992,15:209 - 213

共引文献54

同被引文献20

  • 1宇世航.同分布NA序列部分和之和的弱大数定律[J].哈尔滨师范大学自然科学学报,2004,20(4):21-24. 被引量：13
  • 2Resnick S I. Limit laws for record values [J]. Stochastic Processes and their Applications, 1973,1 (1) 67-82.
  • 3Arnold B C, Villasenor J A. The asymptotic distributions of sums of records [J]. Kluwer Academic Publishers, 1999, 1(3) 351-363.
  • 4Lehmann E L. Some concepts of dependence [J]. The Annals of Mathematical Statistics, 1966,37 (5) : 1137-1153.
  • 5Resnick S I. Limit laws for record values[J]. Stochastic Processes and their Applications, 1973,1 (1) :67-82.
  • 6Arnold B C, Villasenor J A. The asymptotic distributions of sums of records[J]. Kluwer Academic Publishers, 1998,1(3) :351-363.
  • 7[ Lehmann E L. Some concepts of dependence[J]. The Annals of Mathematical Statistics, 1966,37(5): 1137-1153.
  • 8Rensick S L. Limit laws for record values[J]. Stochastic Processes and Their Applications, 1973,1(1):67-82.
  • 9Arnold B C, Villasenor J A. The asymptotic distributions of sums of records[J]. Kluwer Academic Publishers,1999, 1(3) .351-363.
  • 10Lehmann E L. Some concepts of dependence. The Annals of Mathematical Statistics, 1966,37 (5) . 1137-1153.

引证文献3

二级引证文献1

杭州师范大学学报（自然科学版）
2012年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部