Compact Textbooks in Mathematics: With Applications to Statistics, Finance, and Engineering

Shum, Kenneth

This textbook offers an approachable introduction to measure-theoretic probability, illustrating core concepts with examples from statistics and engineering. The author presents complex concepts in a succinct manner, making otherwise intimidating material approachable to undergraduates who are not necessarily studying mathematics as their major. Throughout, readers will learn how probability serves as the language in a variety of exciting fields. Specific applications covered include the coupon collector’s problem, Monte Carlo integration in finance, data compression in information theory, and more.

Measure-Theoretic Probability is ideal for a one-semester course and will best suit undergraduates studying statistics, data science, financial engineering, and economics who want to understand and apply more advanced ideas from probability to their disciplines. As a concise and rigorous introduction to measure-theoretic probability, it is also suitable for self-study.Prerequisites include a basic knowledge of probability and elementary concepts from real analysis.

Details

Published by: Birkhäuser

Publication Date: 2024-03-31

Format: Paperback

ISBN-13: 9783031498329

DOI: 10.1007/978-3-031-49830-5

Dimensions: 235cm x155cm

Pages: 259