A bivariate stable characterization and domains of attraction

Bivariate stable distributions are defined as those having a domain of attraction, where vectors are used for normalization. These distributions are identified and their domains of attraction are given in a number of equivalent forms. In one case, marginal convergence implies joint convergence. A bivariate optional stopping property is given. Applications to bivariate random walk are suggested.

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Year of publication:	1979
Authors:	Resnick, Sidney ; Greenwood, Priscilla
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 9.1979, 2, p. 206-221
Publisher:	Elsevier
Keywords:	Stable distributions domain of attraction bivariate distributions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005152831