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Matematicheskie Zametki, 1969, Volume 6, Issue 6, Pages 705–712 (Mi mzm6979)  
Asymptotic distribution of sequences with random indices

L. A. Zolotuhina

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (488 kB)
Abstract: A general form is determined for the limit distribution function of a sequence of random vectors with random indices $(S_1(N_n^{(1)},\dots,S_r(N_n^{(r)}))$ in the case when sequences $(S_1(n),\dots,S_r(n))$ and $(N_n^{(1)},\dots,N_n^{(r)})$ for appropriate normalization have a nonsingular joint limit distribution.
Received: 14.03.1969
English version:
Mathematical Notes, 1969, Volume 6, Issue 6, Pages 887–891
DOI: https://doi.org/10.1007/BF01146409
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: L. A. Zolotuhina, “Asymptotic distribution of sequences with random indices”, Mat. Zametki, 6:6 (1969), 705–712; Math. Notes, 6:6 (1969), 887–891
Citation in format AMSBIB
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\by L.~A.~Zolotuhina
\paper Asymptotic distribution of sequences with random indices
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 6
\pages 705--712
\mathnet{http://mi.mathnet.ru/mzm6979}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=263141}
\zmath{https://zbmath.org/?q=an:0227.60022}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 6
\pages 887--891
\crossref{https://doi.org/10.1007/BF01146409}
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