Weak Convergence of Weighted Multivariate Empirical Processes Under Mixing Conditions

Michel Harel and Madan L. Puri
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Michel Harel: Institut Universitaire de Technologie de Limoges, Département Technique de Commercialisation
Madan L. Puri: Indiana University, Department of Mathematics

A chapter in Mathematical Statistics and Probability Theory, 1987, pp 121-141 from Springer

Abstract: Abstract Harel (1980) established the weak convergence of the multivariate truncated empirical processes under φ-mixing conditions for weight functions which vanish on the lower boundary of [0,1]k+1. In this paper we extend the results under strong mixing conditions and also when the weight functions not only vanish on the lower boundary of [0,1]k+1 but also on the upper corner of [0,1]k+1.

Keywords: 60F05; φ-mixing; strong mixing; empirical process; weighted empirical process (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-3963-9_11

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DOI: 10.1007/978-94-009-3963-9_11

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