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 Diskr. Mat.: Year: Volume: Issue: Page: Find

 Diskr. Mat., 1991, Volume 3, Issue 1, Pages 114–132 (Mi dm781)

Binomial moments and exponential generating functions

M. N. Rokhlin

Abstract: A connection is established between a sequence of binomial moments of random vectors and sequences of their characteristic functions or exponential generating functions. The asymptotics of these functions is found (under certain conditions). As a result of this, the properties of binomial moments are described which determine the limit distribution of the initial sequence. The results are applied to studying the distribution of the number of isolated trees in growing random graphs.

Full text: PDF file (1611 kB)

Bibliographic databases:
UDC: 519.12

Citation: M. N. Rokhlin, “Binomial moments and exponential generating functions”, Diskr. Mat., 3:1 (1991), 114–132

Citation in format AMSBIB
\Bibitem{Rok91} \by M.~N.~Rokhlin \paper Binomial moments and exponential generating functions \jour Diskr. Mat. \yr 1991 \vol 3 \issue 1 \pages 114--132 \mathnet{http://mi.mathnet.ru/dm781} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1112294} \zmath{https://zbmath.org/?q=an:0733.60018}