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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 2, Pages 334–356 (Mi tvp3805)  
This article is cited in 3 scientific papers (total in 3 papers)

Limit theorems involving restricted convergence

H.-J. Rossberg

Universität Leipzig, Mathematisches Institut, Leipzig, Germany
Full-text PDF (1348 kB) Citations (3)
Abstract: This paper is a survey of general results on limit theorems describing the restricted convergence of distribution functions of sums of independent random variables and distribution functions of order statistics and also results on the continuation theory of distribution functions. Some unsoliring problems are formulated.
Keywords: restricted convergence ($r$-convergence), central limit theorem, continuation problem of distribution functions, positive definite functions.
Received: 09.08.1993
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 2, Pages 298–314
DOI: https://doi.org/10.1137/1139019
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: H.-J. Rossberg, “Limit theorems involving restricted convergence”, Teor. Veroyatnost. i Primenen., 39:2 (1994), 334–356; Theory Probab. Appl., 39:2 (1994), 298–314
Citation in format AMSBIB
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\by H.-J.~Rossberg
\paper Limit theorems involving restricted convergence
\jour Teor. Veroyatnost. i Primenen.
\yr 1994
\vol 39
\issue 2
\pages 334--356
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\zmath{https://zbmath.org/?q=an:0831.60035}
\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 2
\pages 298--314
\crossref{https://doi.org/10.1137/1139019}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RW81500008}
Linking options:
  • https://www.mathnet.ru/eng/tvp3805
  • https://www.mathnet.ru/eng/tvp/v39/i2/p334
    • This publication is cited in the following 3 articles:
    1. Laleh Tafakori, A. R. Soltani, “A note on the Cauchy-type mixture distributions”, Journal of Statistical Computation and Simulation, 87:9 (2017), 1901  crossref
    2. M. A. El-Shandidy, “On the restricted convergence of generalized extreme order statistics”, J. Appl. Math. Comput., 20:1-2 (2006), 225  crossref
    3. H. M. Barakat, E. M. Nigm, M. E. El-Adll, “Continuation theorems of the extremes under power normalization”, JAMC, 10:1-2 (2002), 1  crossref
    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
    Statistics & downloads:
    Abstract page:173
    Full-text PDF :90
    First page:8
     
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