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A Second Course in Probability
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A Second Course in Probability is an invaluable resource for advanced probability theory, striking a good balance between technical detail and clarity of exposition.
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- Written by Sheldon Ross and Erol Peköz, this text familiarises you with advanced topics in probability while keeping the mathematical prerequisites to a minimum. Topics covered include measure theory, limit theorems, bounding probabilities and expectations, coupling and Stein's method, martingales, Markov chains, renewal theory, and Brownian motion. No other text covers all these topics rigorously but at such an accessible level - all you need is an undergraduate-level understanding of calculus and probability. New to this edition are sections on the gambler's ruin problem, Stein's method as applied to exponential approximations, and applications of the martingale stopping theorem. Extra end-of-chapter exercises have also been added, with selected solutions available.This is an ideal textbook for students taking an advanced undergraduate or graduate course in probability. It also represents a useful resource for professionals in relevant application domains, from finance to machine learning.
| Publisher | Cambridge University Press |
| Publication date | September 21, 2023 |
| Edition | 2nd |
| Language | English |
| Print length | 192 pages |
| ISBN-10 | 1009179918 |
| ISBN-13 | 978-1009179911 |
| Item Weight | 10.2 ounces (289.17 grams) |
| Dimensions | 6 x 0.44 x 9 inches (15.2 x 1.1 x 22.9 cm) |
Who Should Buy?
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Advanced Students
Ideal for undergraduate and graduate students specializing in mathematics or statistics who seek deeper probability knowledge.
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Educators and Instructors
Useful for teachers looking to enhance their courses with a comprehensive understanding of probability theory and applications.
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Researchers in Statistics
Beneficial for researchers needing an advanced reference for probability theory, especially for studies in statistics and data science.
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Beginners in Probability
Not suitable for novices or beginners who require a foundational understanding of probability concepts before advancing.
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Features & Benefits
- Modern and concise introduction to advanced probability topics.
- Covers Stein's method accessibly, a rarity in advanced texts.
- Ideal for advanced undergraduates, graduate students, and professionals.
- Includes balance of technical rigor and clear explanations.
- Perfect for courses in Statistics, Engineering, Finance, and Actuarial Sciences.
- Contains unique methods and exercises not found in standard texts.
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