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Elementary Probability for Applications [Hardback]

2.67/5 (18 ratings by Goodreads)
(Duke University, North Carolina)
  • Formāts: Hardback, 254 pages, height x width x depth: 255x195x18 mm, weight: 660 g, Worked examples or Exercises; 80 Tables, unspecified; 55 Line drawings, unspecified
  • Izdošanas datums: 31-Jul-2009
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521867568
  • ISBN-13: 9780521867566
Citas grāmatas par šo tēmu:
  • Hardback
  • Cena: 93,73 €
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  • Formāts: Hardback, 254 pages, height x width x depth: 255x195x18 mm, weight: 660 g, Worked examples or Exercises; 80 Tables, unspecified; 55 Line drawings, unspecified
  • Izdošanas datums: 31-Jul-2009
  • Izdevniecība: Cambridge University Press
  • ISBN-10: 0521867568
  • ISBN-13: 9780521867566
Citas grāmatas par šo tēmu:
Explains probability using genetics, sports, finance, current events and more.

This clear and lively introduction to probability theory concentrates on the results that are the most useful for applications, including combinatorial probability and Markov chains. Concise and focused, it is designed for a one-semester introductory course in probability for students who have some familiarity with basic calculus. Reflecting the author's philosophy that the best way to learn probability is to see it in action, there are more than 350 problems and 200 examples. The examples contain all the old standards such as the birthday problem and Monty Hall, but also include a number of applications not found in other books, from areas as broad ranging as genetics, sports, finance, and inventory management.

Recenzijas

'The book has a nice interplay between probability modeling and scientific applications, whether from biology, sports, or discussions of China's one-child policy. Many of the examples are thought provoking, including ones on DNA samples for paternity cases and others about the O. J. Simpson trial. As an instructor, I enjoy digging into these examples in class. And the large selection of interesting problems builds basic skills and deepens or extends the main ideas.' Professor Michael Phelan, University of California, Irvine

Papildus informācija

Explains probability using genetics, sports, finance, current events and more.
Preface vii
Basic Concepts
1(31)
Outcomes, events, and probability
1(5)
Flipping coins and the World Series
6(3)
Independence
9(3)
Random variables and distributions
12(5)
Expected value
17(4)
Moments and variance
21(5)
Exercises
26(6)
Combinatorial Probability
32(49)
Permutations and combinations
32(9)
Binomial and multinomial distributions
41(6)
Poisson approximation to the binomial
47(9)
Card games and other urn problems
56(6)
Probabilities of unions, Joe DiMaggio
62(6)
Blackjack
68(3)
Exercises
71(10)
Conditional Probability
81(33)
Definition
81(5)
Two-stage experiments
86(8)
Bayes' formula
94(6)
Discrete joint distributions
100(5)
Exercises
105(9)
Markov Chains
114(47)
Definitions and examples
114(6)
Multistep transition probabilities
120(4)
Stationary distributions
124(7)
Limit behavior
131(7)
Gambler's ruin
138(4)
Absorbing chains
142(9)
Exercises
151(10)
Continuous Distributions
161(29)
Density functions
161(5)
Distribution functions
166(7)
Functions of random variables
173(4)
Joint distributions
177(5)
Marginal and conditional distributions
182(4)
Exercises
186(4)
Limit Theorems
190(39)
Sums of independent random variables
190(6)
Mean and variance of sums
196(7)
Laws of large numbers
203(5)
Normal distribution
208(4)
Central limit theorem
212(7)
Applications to statistics
219(4)
Exercises
223(6)
Option Pricing
229(8)
Discrete time
229(4)
Continuous time
233(4)
Normal Table 237(2)
Answers to Odd Problems 239(2)
Index of Terms 241(2)
Index of Examples 243
Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. After nine years at UCLA, he came to Cornell University in 1985, where he is a professor of mathematics. He is the author of 8 books and more than 170 journal articles on a wide variety of topics, and he has supervised more than 40 Ph.D. students. He is a member of the National Academy of Science, American Academy of Arts and Sciences, and a Fellow of the Institute of Mathematical Statistics.