Probability and Random Processes by Grimmett, Geoffrey R.; Stirzaker, David R.;

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A termék adatai:

Kiadás sorszáma 3. Aufl.
Kiadó Oxford University Press
Megjelenés dátuma 2001. január 1.

ISBN 9780198572220
Kötéstípus Puhakötés
Terjedelem608 oldal
Méret 239xx mm
Súly 994 g
Nyelv angol
Illusztrációk w. figs.

Kategóriák

Valószínűségelmélet és matematikai statisztika Alkalmazott matematika

Rövid leírás:

The third edition of this well-established and popular textbook provides a wide-ranging and entertaining introduction to probability and random processes and many of their practical applications. The emphasis is on modelling and understanding rather than abstraction, but beginners will encounter aspects of more advanced work. Prerequisites are few, and the book is largely self contained. Many important random processes are developed in the text and through
informative real-life examples. There are many exercises and problems, with solutions provided in the companion volume.

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Hosszú leírás:

The third edition of this successful text gives a rigorous introduction to probability theory and the discussion of the most important random processes in some depth. It includes various topics which are suitable for undergraduate courses, but are not routinely taught. It is suitable to the beginner, and provides a taste and encouragement for more advanced work. There are four main aims: 1) to provide a thorough but straightforward account of basic probability,
giving the reader a natural feel for the subject unburdened by oppressive technicalities, 2) to discuss important random processes in depth with many examples. 3) to cover a range of important but less routine topics, 4) to impart to the beginner the flavour of more advanced work. The books begins with
basic ideas common to many undergraduate courses in mathematics, statistics and the sciences; in concludes with topics usually found at graduate level. The ordering and numbering of material in this third edition has been mostly preserved from the second. Minor alterations and additions have been added for clearer exposition. Highlights include new sections on sampling and Markov chain Monte Carlo, geometric probability, coupling and Poisson approximation, large deviations, spatial Poisson
processes, renewal-reward, queueing networks, stochastic calculus, Itô's formula and option pricing in the Black-Scholes model for financial markets. In addition there are many (nearly 400) new exercises and problems that are entertaining and instructive; their solutions can be found in the companion
volume 'One Thousand Exercises in Probability', (OUP 2001).

... aims to be a full and comprehensive account of (almost all) the probability theory and stochastic processes one could hope to teach to undergraduates ... Much new material has been included in this third edition to reflect recent developments in the subject ... As well as its masterful coverage of the material, the book has many appealing stylistic features ... extremely valuable in finding good proofs of theorems which are dealt with rather cursorily in other textbooks. The Mathematical Gazette