Springer Texts in Statistics

Fundamentals of Probability: A First Course

Authors: DasGupta, Anirban

  • 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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Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4419-5780-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-1-4419-5779-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4614-2581-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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

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)

  • Introducing Probability

    DasGupta, Anirban

    Pages 1-21

  • The Birthday and Matching Problems

    DasGupta, Anirban

    Pages 23-28

  • Conditional Probability and Independence

    DasGupta, Anirban

    Pages 29-43

  • Integer-Valued and Discrete Random Variables

    DasGupta, Anirban

    Pages 45-80

  • Generating Functions

    DasGupta, Anirban

    Pages 81-90

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4419-5780-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-1-4419-5779-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-4614-2581-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Probability: A First Course
Authors
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