Standard

Cyclic Behavior of the Maximum of Sums of Independent Variables. / Lifshits, M.A.

In: Journal of Mathematical Sciences, No. 1, 2015, p. 134-139.

Research output: Contribution to journal › Article › peer-review

Harvard

Lifshits, MA 2015, 'Cyclic Behavior of the Maximum of Sums of Independent Variables', Journal of Mathematical Sciences, no. 1, pp. 134-139. https://doi.org/10.1007/s10958-014-2191-6

APA

Lifshits, M. A. (2015). Cyclic Behavior of the Maximum of Sums of Independent Variables. Journal of Mathematical Sciences, (1), 134-139. https://doi.org/10.1007/s10958-014-2191-6

Vancouver

Lifshits MA. Cyclic Behavior of the Maximum of Sums of Independent Variables. Journal of Mathematical Sciences. 2015;(1):134-139. https://doi.org/10.1007/s10958-014-2191-6

Author

Lifshits, M.A. / Cyclic Behavior of the Maximum of Sums of Independent Variables. In: Journal of Mathematical Sciences. 2015 ; No. 1. pp. 134-139.

BibTeX

@article{2157de51e2334d79a12efd5561615dee,
title = "Cyclic Behavior of the Maximum of Sums of Independent Variables",
abstract = "{\textcopyright} 2014, Springer Science+Business Media New York.In a recent author{\textquoteright}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 2n 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.",
author = "M.A. Lifshits",
year = "2015",
doi = "10.1007/s10958-014-2191-6",
language = "English",
pages = "134--139",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Cyclic Behavior of the Maximum of Sums of Independent Variables

AU - Lifshits, M.A.

PY - 2015

Y1 - 2015

N2 - © 2014, Springer Science+Business Media New York.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 2n 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.

AB - © 2014, Springer Science+Business Media New York.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 2n 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.

U2 - 10.1007/s10958-014-2191-6

DO - 10.1007/s10958-014-2191-6

M3 - Article

SP - 134

EP - 139

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 4004160