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

作者：Hu Tien Chung; Rosalsky Andrew^*

来源：Statistics & Probability Letters, 2011, 81(1): 169-174.

DOI：10.1016/j.spl.2010.10.015

• Tightness of distribution functions
• Weak convergence of distribution functions
• Convergence of integrals

In this paper, we present new versions of the classical de La Vallee 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.

• 出版日期2011-1
• 单位清华大学