- Lucid, accessible style helps make a sophisticated subject more accessible
- Covers combinatorial probability, standard univariate discrete and continuous distributions, joint and conditional distributions in the bivariate and the multivariate case, and more
- Includes 303 worked-out examples and 810 exercises
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- About this Textbook
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This is a text encompassing all of the standard topics in introductory probability theory, together with a significant amount of optional material of emerging importance. The emphasis is on a lucid and accessible writing style, mixed with a large number of interesting examples of a diverse nature. The text will prepare students extremely well for courses in more advanced probability and in statistical theory and for the actuary exam.
The book covers combinatorial probability, all the standard univariate discrete and continuous distributions, joint and conditional distributions in the bivariate and the multivariate case, the bivariate normal distribution, moment generating functions, various probability inequalities, the central limit theorem and the laws of large numbers, and the distribution theory of order statistics. In addition, the book gives a complete and accessible treatment of finite Markov chains, and a treatment of modern urn models and statistical genetics. It includes 303 worked out examples and 810 exercises, including a large compendium of supplementary exercises for exam preparation and additional homework. Each chapter has a detailed chapter summary. The appendix includes the important formulas for the distributions in common use and important formulas from calculus, algebra, trigonometry, and geometry.
Anirban DasGupta is Professor of Statistics at Purdue University, USA. He has been the main editor of the Lecture Notes and Monographs series, as well as the Collections series of the Institute of Mathematical Statistics, and is currently the Co-editor of the Selected Works in Statistics and Probability series, published by Springer. He has been an associate editor of the Annals of Statistics, Journal of the American Statistical Association, Journal of Statistical Planning and Inference, International Statistical Review, Sankhya, and Metrika. He is the author of Asymptotic Theory of Statistics and Probability, 2008, and of 70 refereed articles on probability and statistics. He is a Fellow of the Institute of Mathematical Statistics.
- Reviews
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From the reviews:
“Throughout the book, the author chooses examples and exercises that are classics in the field of probability … . does an admirable job of combining the rigor necessary for a first course in probability theory while continuing to engage the more applied oriented student’s curiosity with interesting examples and exercises. The book deserves serious consideration for anyone teaching the first course in probability theory or one engaged in applied work who desires a more thorough grounding in the mathematical principles of probability theory.” (Mark A. Mccomb, Technometrics, Vol. 54 (1), February, 2012)
“The present book is a text on the fundamentals of probability at an undergraduate and first-year graduate level for students in science, engineering and economics. … The book has an excellent set of examples and exercises and two appendices on supplementary homework, practice problems, symbols and formulas.” (Andreas N. Philippou, Zentralblatt MATH, Vol. 1211, 2011)
- Table of contents (15 chapters)
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Introducing Probability
Pages 1-21
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The Birthday and Matching Problems
Pages 23-28
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Conditional Probability and Independence
Pages 29-43
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Integer-Valued and Discrete Random Variables
Pages 45-80
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Generating Functions
Pages 81-90
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Table of contents (15 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Fundamentals of Probability: A First Course
- Authors
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- Anirban DasGupta
- Series Title
- Springer Texts in Statistics
- Copyright
- 2010
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media, LLC
- Distribution Rights
- Distribution rights for India: CBS Publishers, New Delhi, India
- eBook ISBN
- 978-1-4419-5780-1
- DOI
- 10.1007/978-1-4419-5780-1
- Hardcover ISBN
- 978-1-4419-5779-5
- Softcover ISBN
- 978-1-4614-2581-6
- Series ISSN
- 1431-875X
- Edition Number
- 1
- Number of Pages
- XVI, 450
- Topics
