Asymptotic results for hybrids of empirical and partial sums processes

Sergio Alvarez-Andrade () and Salim Bouzebda ()

Statistical Papers, 2014, vol. 55, issue 4, 1143 pages

Abstract: The present paper is devoted to the study of the hybrids of empirical and partial sums processes. In the first part, we present a synthesis of results related to these processes and their connection with the empirical and compound process. We obtain new results on the precise asymptotics in the law of the logarithm related to complete convergence and a.s. convergence, under some mild conditions, for the hybrids of empirical and partial sums processes. Finally, the weighted bootstrap processes and general hybrid processes are also discussed. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Empirical processes; Partial sums; Gaussian process; Strong approximations; Weighted bootstrap processes; Precise asymptotics; Complete moment convergence; Baum–Katz; Convergence rates; Primary: 62G30; 60F17 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s00362-013-0557-3

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