- Paperback: 200 pages
- Publisher: Chapman and Hall/CRC; 1 edition (April 26 2002)
- Language: English
- ISBN-10: 1584883294
- ISBN-13: 978-1584883296
- Product Dimensions: 24.9 x 15.2 x 1.1 cm
- Shipping Weight: 295 g
- Amazon Bestsellers Rank: #1,248,564 in Books (See Top 100 in Books)
- See Complete Table of Contents
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Product Details |
Product Description
Product Description
A thorough grounding in Markov chains and martingales is essential in dealing with many problems in applied probability, and is a gateway to the more complex situations encountered in the study of stochastic processes. Exercises are a fundamental and valuable training tool that deepen students' understanding of theoretical principles and prepare them to tackle real problems.
In addition to a quick but thorough exposition of the theory, Martingales and Markov Chains: Solved Exercises and Elements of Theory presents, more than 100 exercises related to martingales and Markov chains with a countable state space, each with a full and detailed solution. The authors begin with a review of the basic notions of conditional expectations and stochastic processes, then set the stage for each set of exercises by recalling the relevant elements of the theory. The exercises range in difficulty from the elementary, requiring use of the basic theory, to the more advanced, which challenge the reader's initiative. Each section also contains a set of problems that open the door to specific applications.
Designed for senior undergraduate- and graduate level students, this text goes well beyond merely offering hints for solving the exercises, but it is much more than just a solutions manual. Within its solutions, it provides frequent references to the relevant theory, proposes alternative ways of approaching the problem, and discusses and compares the arguments involved.
In addition to a quick but thorough exposition of the theory, Martingales and Markov Chains: Solved Exercises and Elements of Theory presents, more than 100 exercises related to martingales and Markov chains with a countable state space, each with a full and detailed solution. The authors begin with a review of the basic notions of conditional expectations and stochastic processes, then set the stage for each set of exercises by recalling the relevant elements of the theory. The exercises range in difficulty from the elementary, requiring use of the basic theory, to the more advanced, which challenge the reader's initiative. Each section also contains a set of problems that open the door to specific applications.
Designed for senior undergraduate- and graduate level students, this text goes well beyond merely offering hints for solving the exercises, but it is much more than just a solutions manual. Within its solutions, it provides frequent references to the relevant theory, proposes alternative ways of approaching the problem, and discusses and compares the arguments involved.
Book Info
Provides a concise introduction to the basic theory of martingales and Markov chains. Reviews the basics of probability and stochastic processes with over 100 exercises and problems.
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First Sentence
1.1 Let us begin with a simple, albeit typical, case of conditioning. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
1.1 Let us begin with a simple, albeit typical, case of conditioning. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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