relation: http://eprints.imtlucca.it/989/
title: Convergence results for a normalized triangular array of symmetric random variables
creator: Crimaldi, Irene
subject: HA Statistics
subject: QA Mathematics
description: For a triangular array of symmetric random variables (without any integrability condition) we replace the classical assumption of row-wise independence by that of row-wise joint symmetry. Under this weaker assumption we prove some results concerning the convergence in distribution of a suitable sequence of randomly normalized sums to the standard normal distribution. Then we exhibit a class of row-wise independent triangular arrays for which the ordinary sums fail to converge in distribution, while our results enable us to affirm the convergence in distribution of the normalized sums.
publisher: Elsevier
date: 2002
type: Article
type: PeerReviewed
identifier:   Crimaldi, Irene  Convergence results for a normalized triangular array of symmetric random variables.  Expositiones mathematicae, 20 (4).  pp. 375-384.  ISSN 0723-0869      (2002)  
relation: http://dx.doi.org/10.1016/S0723-0869(02)80014-7
relation: doi:10.1016/S0723-0869(02)80014-7