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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 2, Pages 313–333 (Mi tvp3804)  
This article is cited in 39 scientific papers (total in 39 papers)

Convergence of random sequences with the independent random indices. I

V. Yu. Korolev

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (1219 kB) Citations (39)
Abstract: Necessary and sufficient conditions are obtained for the weak convergense of arbitrary random sequences with independent random indices under nonrandom centering and normalization. The relationship between these conditions and the concept of identifiability of families of probability distributions is traced back. As particular cases,. the conditions for the convergence of “growing” random sums and maximum partial random sums are given.
Keywords: random sequences with random indices, weak convergence, tightness, location mixtures, scale mixtures, identifiable mixtures, random sums.
Received: 13.09.1993
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 2, Pages 282–297
DOI: https://doi.org/10.1137/1139018
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. Yu. Korolev, “Convergence of random sequences with the independent random indices. I”, Teor. Veroyatnost. i Primenen., 39:2 (1994), 313–333; Theory Probab. Appl., 39:2 (1994), 282–297
Citation in format AMSBIB
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\paper Convergence of random sequences with the independent random indices.~I
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\pages 313--333
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\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 2
\pages 282--297
\crossref{https://doi.org/10.1137/1139018}
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  • https://www.mathnet.ru/eng/tvp/v39/i2/p313
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    This publication is cited in the following 39 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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