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

Tien-Chung Hu and Andrew Rosalsky

Statistics & Probability Letters, 2011, vol. 81, issue 1, 169-174

Abstract: 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.

Keywords: Tightness; of; distribution; functions; Weak; convergence; of; distribution; functions; Convergence; of; integrals (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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