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Basic Stochastic Processes: A Course Through Exercises by Zdzislaw Brzezniak
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eBay item number:284288740410
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- Basic Stochastic Processes: A Course Through Exercises
- Publication Date
- 1998-10-16
- Pages
- 226
- ISBN
- 9783540761754
About this product
Product Identifiers
Publisher
Springer London, The Limited
ISBN-10
3540761756
ISBN-13
9783540761754
eBay Product ID (ePID)
825567
Product Key Features
Number of Pages
X, 226 Pages
Publication Name
Basic Stochastic Processes : a Course Through Exercises
Language
English
Publication Year
1998
Subject
Probability & Statistics / Stochastic Processes, Probability & Statistics / General, Astronomy
Type
Textbook
Subject Area
Mathematics, Science
Series
Springer Undergraduate Mathematics Ser.
Format
Trade Paperback
Dimensions
Item Height
0.3 in
Item Weight
30 Oz
Item Length
9.3 in
Item Width
7 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
98-007021
Dewey Edition
21
Reviews
This book fulfils its aim of providing good and interesting material for advanced undergraduate study. The Times Higher Education Supplement This is probably one of the best books to begin learning about the sometimes complex topic of stochastic calculus and stochastic processes from a more mathematical approach. Some literature are often accused of unnecessarily complicating the subject when applied to areas of finance. With this book you are allowed to explore the rigorous side of stochastic calculus, yet maintain a physical insight of what is going on. The authors have concentrated on the most important and useful topics that are encountered in common physical and financial systems www.quantnotes.com, This book fulfils its aim of providing good and interesting material for advanced undergraduate study. The Times Higher Education Supplement This is probably one of the best books to begin learning about the sometimes complex topic of stochastic calculus and stochastic processes from a more mathematical approach. Some literature are often accused of unnecessarily complicating the subject when applied to areas of finance. With this book you are allowed to explore the rigorous side of stochastic calculus, yet maintain a physical insight of what is going on. The authors have concentrated on the most important and useful topics that are encountered in common physical and financial systems www.quantnotes.com , This book fulfils its aim of providing good and interesting material for advanced undergraduate study.The Times Higher Education SupplementThis is probably one of the best books to begin learning about the sometimes complex topic of stochastic calculus and stochastic processes from a more mathematical approach. Some literature are often accused of unnecessarily complicating the subject when applied to areas of finance. With this book you are allowed to explore the rigorous side of stochastic calculus, yet maintain a physical insight of what is going on. The authors have concentrated on the most important and useful topics that are encountered in common physical and financial systemswww.quantnotes.com
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
519.2
Table Of Content
1. Review of Probability.- 1.1 Events and Probability.- 1.2 Random Variables.- 1.3 Conditional Probability and Independence.- 1.4 Solutions.- 2. Conditional Expectation.- 2.1 Conditioning on an Event.- 2.2 Conditioning on a Discrete Random Variable.- 2.3 Conditioning on an Arbitrary Random Variable.- 2.4 Conditioning on a ?-Field.- 2.5 General Properties.- 2.6 Various Exercises on Conditional Expectation.- 2.7 Solutions.- 3. Martingales in Discrete.- 3.1 Sequences of Random Variables.- 3.2 Filtrations.- 3.3 Martingales.- 3.4 Games of Chance.- 3.5 Stopping Times.- 3.6 Optional Stopping Theorem.- 3.7 Solutions.- 4. Martingale Inequalities and Convergence.- 4.1 Doob's Martingale Inequalities.- 4.2 Doob's Martingale Convergence Theorem.- 4.3 Uniform Integrability and L1 Convergence of Martingales.- 4.4 Solutions.- 5. Markov Chains.- 5.1 First Examples and Definitions.- 5.2 Classification of States.- 5.3 Long-Time Behaviour of Markov Chains: General Case.- 5.4 Long-Time Behaviour of MarkovChains with Finite State Space.- 5.5 Solutions.- 6. Stochastic Processes in Continuous Time.- 6.1 General Notions.- 6.2 Poisson Process.- 6.3 Brownian Motion.- 6.4 Solutions.- 7. Itô Stochastic Calculus.- 7.1 Itô Stochastic Integral: Definition.- 7.2 Examples.- 7.3 Properties of the Stochastic Integral.- 7.4 Stochastic Differential and Itô Formula.- 7.5 Stochastic Differential Equations.- 7.6 Solutions.
Synopsis
This book has been designed for a final year undergraduate course in stochastic processes. It will also be suitable for mathematics undergraduates and others with interest in probability and stochastic processes, who wish to study on their own. The main prerequisite is probability theory: probability measures, random variables, expectation, independence, conditional probability, and the laws of large numbers. The only other prerequisite is calculus. This covers limits, series, the notion of continuity, differentiation and the Riemann integral. Familiarity with the Lebesgue integral would be a bonus. A certain level of fundamental mathematical experience, such as elementary set theory, is assumed implicitly. Throughout the book the exposition is interlaced with numerous exercises, which form an integral part of the course. Complete solutions are provided at the end of each chapter. Also, each exercise is accompanied by a hint to guide the reader in an informal manner. This feature willbe particularly useful for self-study and may be of help in tutorials. It also presents a challenge for the lecturer to involve the students as active participants in the course., This book has been designed for a final year undergraduate course in stochastic processes. It will also be suitable for mathematics undergraduates and others with interest in probability and stochastic processes, who wish to study on their own. The main prerequisite is probability theory: probability measures, random variables, expectation, independence, conditional probability, and the laws of large numbers. The only other prerequisite is calculus. This covers limits, series, the notion of continuity, differentiation and the Riemann integral. Familiarity with the Lebesgue integral would be a bonus. A certain level of fundamental mathematical experience, such as elementary set theory, is assumed implicitly. Throughout the book the exposition is interlaced with numerous exercises, which form an integral part of the course. Complete solutions are provided at the end of each chapter. Also, each exercise is accompanied by a hint to guide the reader in an informal manner. This feature will be particularly useful for self-study and may be of help in tutorials. It also presents a challenge for the lecturer to involve the students as active participants in the course., Stochastic processes is a tool widely used by statisticians and researchers working, for example, in the mathematics of finance. This is an introductory text that has a strong emphasis on exercises, complete with informal hints and fully-worked solutions.
LC Classification Number
QA273.A1-274.9
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- r***g (242)- Feedback left by buyer.Past monthVerified purchaseBook was "nearly new" and "as described" in listing. The advertised price was fair and a good value. Unfortunately, the seller's shipping partner was very slow to get the book packaged and shipped. Shipping took too long, and the tracking info gave no reliable info on shipping date, time in transit or expected delivery. Seller did everything right, but their shipping partner needs improvement. I recommend this seller to other eBay buyers....... just make sure you're okay with the shipping terms.
- e***u (283)- Feedback left by buyer.Past monthVerified purchaseThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (#405155037686)
Seller feedback (551,810)
- r***g (242)- Feedback left by buyer.Past monthVerified purchaseBook was "nearly new" and "as described" in listing. The advertised price was fair and a good value. Unfortunately, the seller's shipping partner was very slow to get the book packaged and shipped. Shipping took too long, and the tracking info gave no reliable info on shipping date, time in transit or expected delivery. Seller did everything right, but their shipping partner needs improvement. I recommend this seller to other eBay buyers....... just make sure you're okay with the shipping terms.
- e***u (283)- Feedback left by buyer.Past monthVerified purchaseThe listing was for a hardcover version of this book; however, I received a paperback. The Seller replied quickly to my question about this issue and issued a full refund - and let me keep the book. So, a diligent Seller for sure - and well packaged and reasonable timing on shipping. Thank you for the refund, and as you suggested, I'll likely donate this volume and seek the hardcover.
- e***n (392)- Feedback left by buyer.Past 6 monthsVerified purchaseGreat transaction, exactly as described, packed well, and promptly shipped on August 6th. Unfortunately the U.S. Postal Service took 23 calendar days to deliver the book. It was shipped from Pennsylvania, to Atlanta, past Alabama to Texas, enjoyed several days in Texas, then to Minneapolis, Jacksonville, Florida, back to Atlanta, finally to Birmingham, and Huntsville. The seller was very responsive and I decided it was interesting to see if/how the book would arrive. Thanks, JoeDrumsville!: The Evolution of the New Orleans Beat by Robert Cataliotti: Used (#405155037686)