Mathematics 564

Theory of Probability

Fall 2009

Resource Page

Textbooks

· Introduction to Probability Theory and Its Applications (Volume I and II) by William Feller

· Probability and Statistics by Morris H. DeGroot and Mark J. Schervish

• Probability and Random Processes by Geoffrey Grimmett and David Stirzaker
• Introduction to Probability by Charles M. Grinstead and J. Laurie Snell
• Probability and Statistical Inference (7th Edition) by Robert V Hogg and Elliot A. Tanis
• Mathematical Statistics and Data Analysis (3rd edition) by John A. Rice
• A First Course in Probability by Sheldon Ross

R Manuals and Guides

Downloads and web interfaces

• The R Project for Statistical Computing. R, free statistical analysis package developed by Robert Gentleman and Ross Ihaka, is a language and environment for statistical computing and graphics. It is a GNU project which is similar to the S language and environment which was developed at Bell Laboratories (formerly AT&T, now Lucent Technologies) by John Chambers and colleagues. R can be considered as a different implementation of S.
• General Rweb Interface. Rweb is a Web based interface to R that takes the submitted code, runs R on the code (in batch mode), and returns the output (printed and graphical).

Manuals

• SimpleR: Using R for Introductory Statistics by John Verzani.
• R for Beginners by Emmanuel Paradis.
• The R Guide by W. J. Owen

Handouts

• R as a basic statistical calculator for obtaining p-values and plotting probability distributions (6 page pdf file) by Bruce Walsh.
• R reference card by Jonathan Baron.
• R reference card by Tom Short.

On-line Resources

• Probability by Surprise by Susan Holmes
• GameTheory.net
• Java Applets provided by James W. Hardin
• Java applets for power and sample size by Russ Lenth
• Web Interface for Statistics Education at Claremont Graduate University

Table

• Normal Distribution
• t Distribution
• Chi-square Distribution

Course Homepage