A note on the de La Vallée Poussin criterion for uniform integrability

In this paper, we present new versions of the classical de La Vallée Poussin criterion for uniform integrability. Our results concern the uniform integrability of a continuous function relative to a sequence of distribution functions. We apply our results to obtain a result on the convergence of a sequence of integrals which we illustrate with an example.

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Year of publication:	2011
Authors:	Hu, Tien-Chung ; Rosalsky, Andrew
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 81.2011, 1, p. 169-174
Publisher:	Elsevier
Keywords:	Tightness of distribution functions Weak convergence of distribution functions Convergence of integrals

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

Persistent link: https://www.econbiz.de/10008868903