Mathematics

Statistics 564

Theory of Probability

Fall 2019

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

**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.

·
Rstudio is an integrated development environment
for R.

·
The Jupyter Notebook is an open-source web application that
allows you to create and share documents that contain live code, equations,
visualizations and narrative text.

- Tinn-R
is a Windows-based free, simple but efficient replacement for the basic
code editor provided by R-gui.
- knitr
integrates R code into a latex document.
- R snippets allows you to run R in an
internet browser.
- R FAQ Frequently
Asked Questions on R

**Ethics**

· Declaration
on Profession Ethics in several languages from the International
Statistical Institute

· Ethical Guidelines for
Statistical Practice from the American Statistical Association

**Manuals**

- SimpleR: Using R
for Introductory Statistics by John Verzani.
- R for Beginners by Emmanuel Paradis.
- Introductory
Statistics with R (first edition) by Peter Dalgaard
from the Springer Link.

**Handouts and Guides**

- 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.
- R
for Matlab users by Mathesaurus

**On-line Resources**

- Probability by
Surprise by Susan Holmes
- GameTheory.net
- Java applets for power and
sample size by Russ Lenth
- Web Interface for
Statistics Education at Claremont Graduate
University

**Table**