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Bücher Englische Bücher Elementary Applications of Probability Theory
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Elementary Applications of Probability Theory
Henry C. Tuckwell (Broschiert, Englisch)
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Beschreibung
For the second edition, two additional chapters, Chapters 11 and 12, have been written. The added material should make the book suitable for two consecutive courses in elementary and intermediate applications of probability. The new material consists of an introduction to stochastic differential equations. It is hoped that this will be useful for applied mathematical modelling of the behaviour of… many naturally occurring randomly fluctuating quantities. An attempt has been made to explain the material with a certain amount of rigour, but hopefully without so much detail that a practical understanding is impaired. The stochastic differential equations in this book are first order equations with an additional noise term. This added term usually contains a Gaussian 'white noise' so that the resulting solution is called a diffusion process. Chapter 11 starts with a brief reminder of the nature of ordinary determinis tic differential equations, followed by an explanation of the essential differences between deterministic and stochastic equations. These have been illustrated with data in neurophysiology and economics. There follows a thorough discussion of the properties of the standard Wiener process which forms a cornerstone of the theory, and a section on white noise which is a useful concept, especially for modelling. The simplest stochastic differential equations, being those of the Wiener process with drift, are then introduced. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
01.01.1995
Sprache
Englisch
EAN
9780412576201
Herausgeber
Springer US
Serien- oder Bandtitel
Chapman & Hall Statistics Textbook Series
Sonderedition
Nein
Autor
Henry C. Tuckwell
Seitenanzahl
292
Auflage
2
Einbandart
Broschiert
Einbandart Details
Trade Paperback (US)
Buch Untertitel
With an introduction to stochastic differential equations
Höhe
235 mm
Breite
15.5 cm
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