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Probability models
- Author / Creator
- Available as
- Physical
Details
Checking for availability...
- Creator
- John Haigh
- Format
- Books
- Language
- English
- Publication
-
- London ; New York : Springer, [2002]
- ©2002
- Physical Details
-
- viii, 256 pages ; 24 cm
- ISBNs
- 1447101693, 9781447101697, 9781852334314, 1852334312
- OCLC
- ocm48177050
- Includes bibliographical references (pages 227-228) and index.
- 1. Probability Spaces -- The Idea of Probability -- Laws of Probability -- Consequences -- Equally Likely Outcomes -- The Continuous Version -- Intellectual Honesty -- 2. Conditional Probability and Independence -- Conditional Probability -- Bayes' Theorem -- Independence -- The Borel-Cantelli Lemmas -- 3. Common Probability Distributions -- Common Discrete Probability Spaces -- Probability Generating Functions -- Common Continuous Probability Spaces -- Mixed Probability Spaces -- 4. Random Variables -- The Definition -- Discrete Random Variables -- Continuous Random Variables -- Jointly Distributed Random Variables -- Conditional Expectation -- 5. Sums of Random Variables -- Discrete Variables -- General Random Variables -- Records -- 6. Convergence and Limit Theorems -- Inequalities -- Convergence -- Limit Theorems -- 7. Stochastic Processes in Discrete Time -- Branching Processes -- Random Walks -- Markov Chains -- 8. Stochastic Processes in Continuous Time -- Markov Chains in Continuous Time -- Queues -- Renewal Theory -- Brownian Motion: The Wiener Process -- 9. Appendix: Common Distributions and Mathematical Facts -- Discrete Distributions -- Continuous Distributions -- Miscellaneous Mathematical Facts