This article is cited in 1 paper

Short Communications

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

M. E. Mancino^a, L. Pratelli<sup>b

a</sup> Dipartimento di Matematica DEFAS, Univ. Firenze, Italia
^b Accademia Navale di Livorno, Gruppo Insegnamento Matematiche, Italia

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.

Language: English

DOI: 10.4213/tvp473

 English version: Theory of Probability and its Applications, 2001, 45:2, 329–337

Bibliographic databases:

• 
• 
•