Probability

An Introduction

Autor: Dominic Welsh, Geoffrey Grimmett

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Editura: Oxford University Press

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Probability is an area of mathematics of tremendous contemporary importance across all aspects of hu...

Informații despre carte

Autor

Dominic Welsh, Geoffrey Grimmett

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2014

Pagini

282

EAN

9780198709961

ISBN

019870996X

Enbook ID

05073461

Editura

Oxford University Press

Greutate

658

Dimensiuni

178 x 253 x 26

Descriere completă

Probability is an area of mathematics of tremendous contemporary importance across all aspects of human endeavour. This book is a compact account of the basic features of probability and random processes at the level of first and second year mathematics undergraduates and Masters' students in cognate fields. It is suitable for a first course in probability, plus a follow-up course in random processes including Markov chains. A special feature is the authors' attention to rigorous mathematics: not everything is rigorous, but the need for rigour is explained at difficult junctures. The text is enriched by simple exercises, together with problems (with very brief hints) many of which are taken from final examinations at Cambridge and Oxford. The first eight chapters form a course in basic probability, being an account of events, random variables, and distributions - discrete and continuous random variables are treated separately - together with simple versions of the law of large numbers and the central limit theorem. There is an account of moment generating functions and their applications. The following three chapters are about branching processes, random walks, and continuous-time random processes such as the Poisson process. The final chapter is a fairly extensive account of Markov chains in discrete time. This second edition develops the success of the first edition through an updated presentation, the extensive new chapter on Markov chains, and a number of new sections to ensure comprehensive coverage of the syllabi at major universities.

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Probability

An Introduction

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Descriere completă

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