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Stochastic Approximation

Stochastic Approximation

Stochastic Approximation

M. T. Wasan, Queen's University, Ontario
June 2004
Paperback
9780521604857
CAD$53.95
Paperback

    Stochastic approximation is a relatively new technique for studying the properties of an experimental situation; it has important applications in fields such as medicine and engineering. The subject can be treated either largely as a branch of pure mathematics, or else from an empirical and practical angle. In this book, Dr Wasan gives a rigorous mathematical treatment of the subject, drawing together the scattered results of a number of authors. He discusses the conditions under which the method gives a valid approximation to the required solution; methods for optimal choice of parameters to hasten convergence; the comparison of the method with other techniques. The discussion and proofs of theorems are given in enough detail to make them easy to follow, while a number of interesting examples show how the techniques may be applied in many fields.

    Product details

    June 2004
    Paperback
    9780521604857
    216 pages
    216 × 140 × 13 mm
    0.28kg
    Available

    Table of Contents

    • Preface
    • 1. Introduction
    • 2. The Robbins-Monro method
    • 3. The Kiefer-Wolfowitz method
    • 4. Applications
    • 5. Multivariate stochastic-approximation methods
    • 6. Asymptotic normality
    • 7. The approximation for continuous random processes
    • 8. Up-and-down method
    • Appendices
    • Bibliography
    • Index.