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Counterexamples in Probability: Third Edition
Most mathematical examples illustrate the truth of a statement; conversely, counterexamples demonstrate a statement's falsity if changing the conditions. Mathematicians have always prized counterexamples as intrinsically enjoyable objects of study as well as valuable tools for teaching, learning, and research. This third edition of the definitive book on counterexamples in probability and stochastic processes presents the author's revisions and corrections in addition to a substantial new appendix.
Suitable as a supplementary source for advanced undergraduates and graduate courses in the field of probability and stochastic processes, this volume features a wide variety of topics that are challenging in both content and detail. The text consists of four chapters and twenty-five sections. Each section begins with short introductory notes of basic definitions and main results. Counterexamples related to the main results follow, along with motivation for questions and counterstatements that range in difficulty. A familiarity with basic notions and results in probability and stochastic processes is assumed, and a chapter of supplementary remarks provides a wealth of information about original sources as well as references for further studies.
Suitable as a supplementary source for advanced undergraduates and graduate courses in the field of probability and stochastic processes, this volume features a wide variety of topics that are challenging in both content and detail. The text consists of four chapters and twenty-five sections. Each section begins with short introductory notes of basic definitions and main results. Counterexamples related to the main results follow, along with motivation for questions and counterstatements that range in difficulty. A familiarity with basic notions and results in probability and stochastic processes is assumed, and a chapter of supplementary remarks provides a wealth of information about original sources as well as references for further studies.
404 pages, Kindle Edition
First published January 1, 1988
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Displaying 1 - 3 of 3 reviews
September 11, 2019
God I love my precious pathological children.
But seriously I think counterexamples are a great way to improve your grasp of various structures and concepts, and this book has a good set of them and is pretty good at proving that they're counterexamples.
But seriously I think counterexamples are a great way to improve your grasp of various structures and concepts, and this book has a good set of them and is pretty good at proving that they're counterexamples.
March 15, 2021
Hi Ellie! How's this for a backup chat? (you might have to make an account to write a reply) Got the idea from a post abt the Barnes &Nobles warrior cat community 😅. Probably not very fast, and public.. (or, as public as the reviews for a book from 199something that i found on pg 24 of the mathematics section may be..) Either way, at least its something! Love you, please be safe!
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April 7, 2020Abandoned this reading.
Displaying 1 - 3 of 3 reviews