Cyclic Behavior of the Maximum of Sums of Independent Variables

Verfasser / Beitragende:
[M. Lifshits]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 204/1(2015-01-01), 134-139
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-014-2191-6  |2 doi 
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100 1 |a Lifshits  |D M.  |u St.Petersburg State University and MAI, Linköping University, St. Petersburg, Russia  |4 aut 
245 1 0 |a Cyclic Behavior of the Maximum of Sums of Independent Variables  |h [Elektronische Daten]  |c [M. Lifshits] 
520 3 |a In a recent author's paper, the cyclic behavior of maxima in a hierarchical summation scheme was discovered. In the present note, we show how the same phenomenon appears in the scheme of conventional summation: The distribution of the maximum of 2 n independent copies of a sum of n i.i.d. random variables approaches, as n grows, some helix in the space of distributions. Bibliography: 4 titles. 
540 |a Springer Science+Business Media New York, 2014 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 204/1(2015-01-01), 134-139  |x 1072-3374  |q 204:1<134  |1 2015  |2 204  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Lifshits  |D M.  |u St.Petersburg State University and MAI, Linköping University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 204/1(2015-01-01), 134-139  |x 1072-3374  |q 204:1<134  |1 2015  |2 204  |o 10958