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4 matches found
VI: 04, 72-89, LNM 258 (1972)
CHATTERJI, Shrishti Dhav
Un principe de sous-suites dans la théorie des probabilités (Measure theory)
This paper is devoted to results of the following kind: any sequence of random variables with a given weak property contains a subsequence which satisfies a stronger property. An example is due to Komlós: any sequence bounded in $L^1$ contains a subsequence which converges a.s. in the Cesaro sense. Several results of this kind, mostly due to the author, are presented without detailed proofs
Comment: See 1302 for extensions to the case of Banach space valued random variables. See also Aldous, Zeit. für W-theorie, 40, 1977
Keywords: Subsequences, Central limit theorem, Law of the iterated logarithm
Nature: Exposition
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XIII: 02, 4-21, LNM 721 (1979)
CHATTERJI, Shrishti Dhav
Le principe des sous-suites dans les espaces de Banach (Banach space valued random variables)
The ``principle of subsequences'' investigated in the author's paper 604 says roughly that any suitably bounded sequence of r.v.'s contains a subsequence which in some respect ``looks like'' a sequence of i.i.d. random variables. Extensions are considered here in the case of Banach space valued random variables. The paper has the character of a preliminary investigation, though several non-trivial results are indicated (one of them in the Hilbert space case)
Keywords: Subsequences
Nature: Original
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XVI: 49, 570-580, LNM 920 (1982)
Mesures gaussiennes et mesures produits
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XXX: 01, 1-11, LNM 1626 (1996)
CHATTERJI, Shrishti Dhav
Remarques sur l'intégrale de Riemann généralisée
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