Quick search | Browse volumes | |

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

Retrieve article from Numdam

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

Retrieve article from Numdam

XVI: 49, 570-580, LNM 920 (1982)

**CHATTERJI, Shrishti Dhav**; **RAMASWAMY, S.**

Mesures gaussiennes et mesures produits

Retrieve article from Numdam

XXX: 01, 1-11, LNM 1626 (1996)

**CHATTERJI, Shrishti Dhav**

Remarques sur l'intégrale de Riemann généralisée

Retrieve article from Numdam

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,

Keywords: Subsequences, Central limit theorem, Law of the iterated logarithm

Nature: Exposition

Retrieve article from Numdam

XIII: 02, 4-21, LNM 721 (1979)

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

Retrieve article from Numdam

XVI: 49, 570-580, LNM 920 (1982)

Mesures gaussiennes et mesures produits

Retrieve article from Numdam

XXX: 01, 1-11, LNM 1626 (1996)

Remarques sur l'intégrale de Riemann généralisée

Retrieve article from Numdam