Crimaldi, Irene Convergence results for a normalized triangular array of symmetric random variables. Expositiones mathematicae, 20 (4). pp. 375-384. ISSN 0723-0869 (2002)
Full text not available from this repository.Abstract
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.
| Item Type: | Article |
|---|---|
| Identification Number: | 10.1016/S0723-0869(02)80014-7 |
| Subjects: | H Social Sciences > HA Statistics Q Science > QA Mathematics |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Irene Crimaldi |
| Date Deposited: | 31 Oct 2011 15:04 |
| Last Modified: | 03 Nov 2011 13:19 |
| URI: | http://eprints.imtlucca.it/id/eprint/989 |
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