David Williams

Weighing the Odds (eBook, PDF)

A Course in Probability and Statistics

• Format: PDF

Produktbeschreibung

Statistics do not lie, nor is probability paradoxical. You just have to have the right intuition. In this lively look at both subjects, David Williams convinces mathematics students of the intrinsic interest of statistics and probability, and statistics students that the language of mathematics can bring real insight and clarity to their subject. He helps students build the intuition needed, in a presentation enriched with examples drawn from all manner of applications, e.g., genetics, filtering, the Black-Scholes option-pricing formula, quantum probability and computing, and classical and modern statistical models. Statistics chapters present both the Frequentist and Bayesian approaches, emphasising Confidence Intervals rather than Hypothesis Test, and include Gibbs-sampling techniques for the practical implementation of Bayesian methods. A central chapter gives the theory of Linear Regression and ANOVA, and explains how MCMC methods allow greater flexibility in modelling. C or WinBUGS code is provided for computational examples and simulations. Many exercises are included; hints or solutions are often provided.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 2. August 2001
• Englisch
• ISBN-13: 9781316037959
• Artikelnr.: 56684700

Autorenporträt

David Williams was born in Dover in 1950. He was educated locally. He married Pat in 1970. David worked for a local firm for 48 years until he retired in 2015. They have two sons and two grandchildren. David wrote the story and characters with input from his grandchildren.

Inhaltsangabe

Preface
1. Introduction
2. Events and probabilities
3. Random variables, means and variances
4. Conditioning and independence
5. Generating functions and the central limit theorem
6. Confidence intervals for 1-parameter models
7. Conditional pdfs and multi-parameter Bayesian statistics
8. Linear models, ANOVA etc
9. Some further probability
10. Quantum probability and quantum computing
Appendix A. Some prerequisites and addenda
Appendix B. Discussion of some selected exercises
Appendix C. Tables
Appendix D. A small sample of the literature
Bibliography
Index.