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October, 1971 Convergence Criteria for Multiparameter Stochastic Processes and Some Applications
P. J. Bickel, M. J. Wichura
Ann. Math. Statist. 42(5): 1656-1670 (October, 1971). DOI: 10.1214/aoms/1177693164

Abstract

Chentsov-Billingsley type fluctuation inequalities for stochastic processes whose time parameter ranges over the $q$-dimensional unit cube are derived and used to establish weak convergence results for such processes.

Citation

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P. J. Bickel. M. J. Wichura. "Convergence Criteria for Multiparameter Stochastic Processes and Some Applications." Ann. Math. Statist. 42 (5) 1656 - 1670, October, 1971. https://doi.org/10.1214/aoms/1177693164

Information

Published: October, 1971
First available in Project Euclid: 27 April 2007

zbMATH: 0265.60011
MathSciNet: MR383482
Digital Object Identifier: 10.1214/aoms/1177693164

Rights: Copyright © 1971 Institute of Mathematical Statistics

Vol.42 • No. 5 • October, 1971
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