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.
General
Imprint: |
Cambridge UniversityPress
|
Country of origin: |
United Kingdom |
Release date: |
July 2023 |
Authors: |
Sheldon M. Ross
• Erol A. Peköz
|
Pages: |
196 |
Edition: |
2nd Revised edition |
ISBN-13: |
978-1-00-917991-1 |
Categories: |
Books
|
LSN: |
1-00-917991-8 |
Barcode: |
9781009179911 |
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