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Stochastic Approximation: Cambridge Tracts in Mathematics, cartea 58

Autor M. T. Wasan
en Limba Engleză Paperback – 2 iun 2004
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.
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Specificații

ISBN-13: 9780521604857
ISBN-10: 0521604850
Pagini: 216
Dimensiuni: 140 x 216 x 13 mm
Greutate: 0.3 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Tracts in Mathematics

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

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