Author: B. Le Gac 1
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  • 1 Unité de formation et de Recherche de Mathématiques, Informatique, Mécanique Université de Provence 3, Place Victor Hugo 13 331 Marseille Cedex 3 France
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Пусть (Xk),k=1,2,... — последов ательность случайны х переменных с нулевым средним и конечной дисперсие йσk2 Пусть α>1; если (Xk) та кова, чтоE(XkXt)=0 дляpα<k<1≦(p+1)α (p,k,l=1, 2, ...) и, более того, такова, чт о
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\sum\limits_{k = 1}^\infty {\frac{{\sigma _k^2 }}{{k^{2 - 1/\alpha } }}(\log k)^2< + \infty }$$ \end{document}
, то 1/n (X1+...+Xn)→0 почти навер ное приn→∞.

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  • SJR Hirsch-Index (2018): 14
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

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Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)