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Understanding Probability

Autor Henk Tijms
en Limba Engleză Paperback – 13 iun 2012
Understanding Probability is a unique and stimulating approach to a first course in probability. The first part of the book demystifies probability and uses many wonderful probability applications from everyday life to help the reader develop a feel for probabilities. The second part, covering a wide range of topics, teaches clearly and simply the basics of probability. This fully revised third edition has been packed with even more exercises and examples and it includes new sections on Bayesian inference, Markov chain Monte-Carlo simulation, hitting probabilities in random walks and Brownian motion, and a new chapter on continuous-time Markov chains with applications. Here you will find all the material taught in an introductory probability course. The first part of the book, with its easy-going style, can be read by anybody with a reasonable background in high school mathematics. The second part of the book requires a basic course in calculus.
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Specificații

ISBN-13: 9781107658561
ISBN-10: 110765856X
Pagini: 574
Ilustrații: 60 b/w illus. 520 exercises
Dimensiuni: 152 x 226 x 33 mm
Greutate: 0.89 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States

Cuprins

Preface; Introduction; Part I. Probability in Action: 1. Probability questions; 2. The law of large numbers and simulation; 3. Probabilities in everyday life; 4. Rare events and lotteries; 5. Probability and statistics; 6. Chance trees and Bayes' rule; Part II. Essentials of Probability: 7. Foundations of probability theory; 8. Conditional probability and Bayes; 9. Basic rules for discrete random variables; 10. Continuous random variables; 11. Jointly distributed random variables; 12. Multivariate normal distribution; 13. Conditioning by random variables; 14. Generating functions; 15. Discrete-time Markov chains; 16. Continuous-time Markov chains; Appendix; Counting methods and ex; Recommended reading; Answers to odd-numbered problems; Bibliography; Index.

Recenzii

'Henk Tijms - famous for his clear and profound work in applied probability - brings us another jewel. His book Understanding Probability combines outstanding pedagogy and thought provoking exercises to produce the best introductory text on the market.' Wayne Winston, Indiana University, Bloomington
'This book distinguishes itself with its down-to-earth style. Covering a wide range of topics from probability, it is filled with real-world fun examples that vividly illustrate sophisticated theory with simplicity. This new expanded edition could now serve as an excellent introductory textbook on probability theory at the undergraduate and masters level.' Karl Sigman, Columbia University

Notă biografică


Descriere

Using everyday examples to demystify probability, this classic is now in its third edition with new chapters, exercises and examples.