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September, 1987 Multivariate Adaptive Stochastic Approximation
C. Z. Wei
Ann. Statist. 15(3): 1115-1130 (September, 1987). DOI: 10.1214/aos/1176350496

Abstract

Herein we study a multivariate version of the adaptive stochastic approximation developed recently by Lai and Robbins. An adaptive procedure which involves a Venter-type estimate of the Jacobian of the response function is proposed and shown to be asymptotically efficient from both the estimation and the control points of view.

Citation

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C. Z. Wei. "Multivariate Adaptive Stochastic Approximation." Ann. Statist. 15 (3) 1115 - 1130, September, 1987. https://doi.org/10.1214/aos/1176350496

Information

Published: September, 1987
First available in Project Euclid: 12 April 2007

zbMATH: 0676.62064
MathSciNet: MR902249
Digital Object Identifier: 10.1214/aos/1176350496

Subjects:
Primary: 62L20

Keywords: Adaptive stochastic approximation , asymptotically efficient , Robbins-Monro process

Rights: Copyright © 1987 Institute of Mathematical Statistics

Vol.15 • No. 3 • September, 1987
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