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Teoriya Veroyatnostei i ee Primeneniya, 2000, Volume 45, Issue 2, Pages 395–403
DOI: https://doi.org/10.4213/tvp473 (Mi tvp473) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Some results of stable convergence for exchangeable random variables in Hilbert spaces

M. E. Mancinoa, L. Pratellib

a Dipartimento di Matematica DEFAS, Univ. Firenze, Italia
b Accademia Navale di Livorno, Gruppo Insegnamento Matematiche, Italia
Full-text PDF (572 kB) Citations (1)
DOI: https://doi.org/10.4213/tvp473
Abstract: Some results of stable convergence for triangular arrays of finitely exchangeable Hilbert-valued random variables are proved. These results, obtained without any integrability hypothesis, complete the classical central limit results. A Berry–Esseen type estimate for their rate of convergence is also given.
Keywords: exchangeable random variables, stable convergence, central limit theorem in Hilbert spaces, rate of convergence, Berry–Esseen type estimate.
English version:
Theory of Probability and its Applications, 2001, Volume 45, Issue 2, Pages 329–337
DOI: https://doi.org/10.1137/S0040585X97978270
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. E. Mancino, L. Pratelli, “Some results of stable convergence for exchangeable random variables in Hilbert spaces”, Teor. Veroyatnost. i Primenen., 45:2 (2000), 395–403; Theory Probab. Appl., 45:2 (2001), 329–337
Citation in format AMSBIB
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\paper Some results of stable convergence for exchangeable random variables in Hilbert spaces
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\pages 395--403
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\jour Theory Probab. Appl.
\yr 2001
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\issue 2
\pages 329--337
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  • https://www.mathnet.ru/eng/tvp473
  • https://doi.org/10.4213/tvp473
  • https://www.mathnet.ru/eng/tvp/v45/i2/p395
    • This publication is cited in the following 1 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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    Abstract page:337
    Full-text PDF :217
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