On Asymptotic Proximity of Distributions

Youri Davydov () and Vladimir Rotar ()
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Youri Davydov: Université de Lille I–Bat. M2
Vladimir Rotar: San Diego State University

Journal of Theoretical Probability, 2009, vol. 22, issue 1, 82-98

Abstract: Abstract We consider some general facts concerning the convergence $$P_{n}-Q_{n}\rightarrow0\quad\mbox{as}\ n\rightarrow\infty,$$ where P n and Q n are probability measures in a complete separable metric space. The main point is that the sequences {P n } and {Q n } are not assumed to be tight. We compare different possible definitions of the above convergence and establish some general properties.

Keywords: Proximity of distributions; Merging of distributions; Weak convergence; The central asymptotic problem; Asymptotic proximity of distributions; 60F17; 60G15 (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1007/s10959-008-0178-2

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