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Stochastic Approximation.

Stochastic Approximation.

・ISBN 978-0-521-60485-7 paper GB£ 42.00

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著者・編者Wasan, M. T.,
シリーズCambridge Tracts in Mathematics
出版社(Cambridge University Press, UK)
出版年月2004
ページ数216 pp.
言語ENG
ニュース番号<M25-10973>

解説

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.