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de La Vallée Poussin’s theorem, uniform integrability, tightness and moments

Tapas Kumar Chandra

Statistics & Probability Letters, 2015, vol. 107, issue C, 136-141

Abstract: The classical de La Vallée Poussin theorem is improved upon. Analogs of this improved result for tightness and the Cesàro Uniform Integrability-type conditions are obtained. The treatment is done in a uniform manner.

Keywords: Uniform integrability; Cesàro uniform integrability; Uniform integrability in the Cabrera sense; Tightness; Moments (search for similar items in EconPapers)
Date: 2015
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Handle: RePEc:eee:stapro:v:107:y:2015:i:c:p:136-141