Probability and Statistics with Examples using R

Comprehensive guide to probability and statistics using R, with emphasis on mathematical rigor, real-world examples, and computational tools.

Introduction

A comprehensive guide to probability and statistics using R, authored by Siva Athreya, Deepayan Sarkar, and Steve Tanner.

Highlights

• Emphasizes the natural connection between probability and statistics
• Teaches mathematical rigor of probability, motivating examples and techniques from statistics, and an instructive technology to perform computations
• Uses the R software environment to demonstrate computational tools
• Intended as an undergraduate text for a course on Probability Theory

Recommendation

This course is recommended for students who are well-versed in calculus, have a basic understanding of set theory, functions, combinatorics, and proof techniques, and have at least a passing awareness of the distinction between countable and uncountable infinities. No prior experience in Linear Algebra or Real Analysis is required.