Multivariate Estimates for the Concentration Functions of Weighted Sums of Independent, Identically Distributed Random Variables
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| 024 | 7 | 0 | |a 10.1007/s10958-014-2188-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-014-2188-1 | ||
| 100 | 1 | |a Eliseeva |D Yu |u St. Petersburg State University, St. Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a Multivariate Estimates for the Concentration Functions of Weighted Sums of Independent, Identically Distributed Random Variables |h [Elektronische Daten] |c [Yu. Eliseeva] |
| 520 | 3 | |a In this paper, we formulate and prove multidimensional generalizations of results obtained previously by the author and A. Yu. Zaitsev. Let X, X 1 , . . . , X n be independent, identically distributed random variables. We study the behavior of the concentration function of the random variable ∑ k = 1 n X k a k $$ {\displaystyle \sum_{k=1}^n{X}_k{a}_k} $$ according to the arithmetic structure of the vectors a k . Recently, interest to this problem increased significantly due to study of distributions of eigenvalues of random matrices. In this paper, we formulate and prove some refinements of results of Rudelson-Vershinin and Friedland-Sodin. Bibliography: 29 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), 78-89 |x 1072-3374 |q 204:1<78 |1 2015 |2 204 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-014-2188-1 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-014-2188-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Eliseeva |D Yu |u St. Petersburg State 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), 78-89 |x 1072-3374 |q 204:1<78 |1 2015 |2 204 |o 10958 | ||