函数型截断和的不变原理

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摘要关于独立同分布的随机变量序列,其部分和及截断和乘积的渐近性已有一些文献得到了一些结果.本文将截断和乘积的不变原理推广为函数型的不变原理.

作者孙镱轩张勇

机构地区吉林大学数学学院

出处《赤峰学院学报（自然科学版）》 2014年第9期1-3,共3页 Journal of Chifeng University(Natural Science Edition)

基金国家自然科学基金(11101180) 吉林省科技发展计划项目(20130522096JH)

关键词独立同分布不变原理截断和稳定吸引域

参考文献8

1Pakes A G, Steutel F W. On the Number of Records near the Maximum[J]. Australian Journal of Statistics, 1997, 39(2): 179-192.
2Rempala G, Wesolowski J. Asymptotic for Products of Sums and U-Statistics [J]. Electronic Communications in Probability, 2002,7(5):47-54.
3]Hu Zhi-shui, Su Chun. Limit Theorems for the Number and Sum of Near-Maxima for Medium Tails [J]. Statistics and Probability Letters, 2003,63(3):229-237.
4邹海连,张立新.一类截断部分和乘积的渐近正态性[J].浙江大学学报（理学版）,2007,34(2):128-131. 被引量：5
5周蕊,杨金英.截断和乘积的不变原理[J].吉林大学学报（理学版）,2012,50(5):912-916. 被引量：4
6Whitt W. Stochastic-Process Limits: An Introduction to Stochastic -Process Limits and their Application to Queues[M]. New York: Springer, 2002.
7Kosifiski K M. On the Functional Limits for Sums of a Function of Partial Sums [J].Statistics and Probability Letters, 2009,79(13):1522-1527.
8Billingsley P. Convergence of Probability Measures[M]. New York: Wiley, 1968.

1邹海连,张立新.一类截断部分和乘积的渐近正态性[J].浙江大学学报（理学版）,2007,34(2):128-131. 被引量：5
2PAKES A G, STEUTEL F W. On the number of records near the maximum[J]. Austral J Statist, 1997,39(2) : 179-192.
3PAKES A G, LI Y. Limit laws for the number of near-maxima via the Poission approximation[J]. StatistProbab Lett, 1998, 40:395-401.
4HU Zhi-shui, SU Chun. Limit theorems for the number and sum of near-maxima for medium tails[J]. Statist Probab Lett, 2003, 63:229-237.
5REMPALA G. Asympotics for products of sums and U-statistics[J]. Electron Comm Probab, 2002, 7:47-54.
6QI Y. Limit distribution for products of sums[J].Statist Probab Lett, 2003, 62:93-100.
7QI Y. A note on asymptotic distribution of product of sums[J]. Statist Probab Lett, 2004, 68:407-413.
8LI Yun. A note on the number of records near the maximum[J]. Statist Probab Lett, 1999, 43:153-158.
9PAKES A G, LI Y. The number and sum of nearmaxima for thin-tailed population[J]. Adv Appl Prob,2000, 32:1100-1116.
10Pakes A G, Steutel F W. On the Number of Records Near the Maximum [ J ]. Austral J Statist, 1997, 39 (2) : 179-192.

赤峰学院学报（自然科学版）

2014年第9期

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