1st Edition

Computational Probability with Python Theory, Simulation, and Actuarial Applications

By Guojun Gan Copyright 2027
280 Pages 12 B/W Illustrations
by Chapman & Hall

Probability theory provides the foundation for understanding uncertainty in fields ranging from finance and insurance to engineering and data science. This textbook is designed for undergraduate actuarial students seeking a clear, practical, and mathematically sound introduction to the subject. Requiring only a first course in calculus, it develops core ideas in a structured and accessible way,... Read more

 I. Probability Theory 1 Set Theory. 2 Combinations and Permutations. 3 Probability. 4 Conditional Probability. 5 Random Variables. 6 Expectation and Variance. 7 Discrete Distributions. 8 Continuous Distributions. 9 Joint Distributions. 10 Conditional Distribution. 11 Limiting Theorems. II .Actuarial Applications 12 . Cost-Sharing Provisions in Insurance Contracts 13. Risk Measures 14. Risk Models and Premium Principles. 15. Mortality Models. A Simulation Technique B. Solutions to Selected Exercises

Biography

Guojun Gan is an Associate Professor in the Department of Mathematics at the University of Connecticut, where he has served since August 2014, following six years in a major life insurance company in Toronto and one year at a hedge fund in Oakville, Canada. He holds a B.S. from Jilin University (2001) and M.S. and Ph.D. degrees from York University (2003 and 2007), and is a Fellow of the Society of Actuaries (FSA). His research spans actuarial science and data science, and he has authored several books and numerous peer-reviewed publications on topics such as data clustering, variable annuities, loss models, applied statistics, programming, and mathematical finance.