Cyclic Behavior of the Maximum of Sums of Independent Variables
Gespeichert in:
Verfasser / Beitragende:
[M. Lifshits]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 204/1(2015-01-01), 134-139
Format:
Artikel (online)
Online Zugang:
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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 | ||
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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 | ||