On H-valued Robbins-Monro processes
AbstractThe Robbins-Monto processes in a Hilbert space are considered in this work. A nonlinear mapping f is treated instead of the usual linearity assumption. A modified process with varying truncations is analyzed, and asymptotic properties are investigated. Convergence as well as necessary and sufficient conditions are obtained. In addition, the rate of convergence issue is discussed.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Multivariate Analysis.
Volume (Year): 34 (1990)
Issue (Month): 1 (July)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description
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