An Introduction to Probability With MATHEMATICA® 2nd Edition – (PDF/EPUB Version)

This edition covers the standard materials to be expected in a course from a calculus-based course in probability. A new chapter is added to cover exchangeability, embedding, and Monte Carlo simulation.

Contents:

• Preface to the First Edition
• Preface to the Second Edition
• Notations and Abbreviations
• Permutation and Combination
• Axioms of Probability
• Conditional Probability
• Random Variables
• Discrete Random Variables
• Continuous Random Variables
• Jointly Distributed Random Variables
• Dependence and More on Expectations
• Limit Theorems
• Exchangeability, Embedding, and Monte Carlo
• A Terse Introduction to Mathematica
• Answers to Odd-Numbered Problems
• Index

Readership: Undergraduate students specialising in mathematics, engineering, computer science, actuarial science and business.

Edward P C Kao is a Professor of Mathematics at the University of Houston. He received his PhD from Stanford and did his post-doctoral work at Yale. He was a Visiting Scientist at the Operations Research Center at MIT during 9/97–5/98.Professor Kao served as an Associate Editor of Operation Research, 1/83–12/87; Associate Editor of Inform Journal on Computing, 1/927/96, and the Area Editor in Computational Probability and Analysis of Inform Journal on Computing, 8/96–1/07.Professor Kao is the author of An Introduction of Stochastic Processes, Duxbury,1997; China Machine Press, 2002, and Dover 2019. He served as consulting statistician for various companies and legal institutions.