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Báo cáo toán học: " A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law"

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law | Journal of Inequalities and Applications SpringerOpen0 This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text HTML versions will be made available soon. A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law Journal of Inequalities and Applications 2012 2012 17 doi 10.1186 1029-242X-2012-17 Qunying Wu wqy666@glite.edu.cn ISSN 1029-242X Article type Research Submission date 4 August 2011 Acceptance date 20 January 2012 Publication date 20 January 2012 Article URL http www.journalofinequalitiesandapplications.com content 2012 1 This peer-reviewed article was published immediately upon acceptance. It can be downloaded printed and distributed freely for any purposes see copyright notice below . For information about publishing your research in Journal of Inequalities and Applications go to http www.journalofinequalitiesandapplications.com authors instructions For information about other SpringerOpen publications go to http www.springeropen.com 2012 Wu licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. A note on the almost sure limit theorem for self-normalized partial sums of random variables in the domain of attraction of the normal law Qunying Wu1 2 1College of Science Guilin University of Technology Guilin 541004 P. R. China 2Guangxi Key Laboratory of Spatial Information and Geomatics Guilin 541004 P.R. China Email address wqy666@glite.edu.cn Abstract Let X X1 X2 . be a sequence of independent and identically distributed random variables in the domain of attraction of a normal distribution. A universal result in almost sure limit theorem for the self-normalized partial sums Sn Vn is established .