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Stochastic Approximation

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Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Stochastic approximation is a technique for studying the properties of an experimental situation; it has important applications in fields such as medicine and engineering. Dr Wasan gives a rigorous mathematical treatment of the subject. The discussion and proofs of theorems are easy to follow, while a number of interesting examples show how the techniques may be applied in many fields.

Synopsis:

A rigorous mathematical treatment of the technique for studying the properties of an experimental situation.

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.

Product Details

ISBN:
9780521604857
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Wasan
Author:
Bollobas, B.
Author:
Wasan, M. T.
Author:
Fulton, W.
Author:
Sarnak, P.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Differential Equations
Subject:
Probability
Subject:
Probability & Statistics - General
Subject:
Mathematics | Probability and Statistics
Subject:
Statistics
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
58
Publication Date:
20040431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
216
Dimensions:
8.54x5.60x.60 in. .65 lbs.

Related Subjects

Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Mathematics » Topology

Stochastic Approximation New Trade Paper
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Product details 216 pages Cambridge University Press - English 9780521604857 Reviews:
"Synopsis" by , Stochastic approximation is a technique for studying the properties of an experimental situation; it has important applications in fields such as medicine and engineering. Dr Wasan gives a rigorous mathematical treatment of the subject. The discussion and proofs of theorems are easy to follow, while a number of interesting examples show how the techniques may be applied in many fields.
"Synopsis" by , A rigorous mathematical treatment of the technique for studying the properties of an experimental situation.
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