Springer Texts in Statistics

Probability: A Graduate Course

Authors: Gut, Allan

  • ​ Covers probability from a very applied perspective
  • Many exercises involve mathematical modeling of random phenomena in very practical fields, including insurance/actuarial and the life sciences/biomedicine
  • Second edition comprehensively updated, including all new exercises
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eBook $69.99
price for USA (gross)
  • ISBN 978-1-4614-4708-5
  • Digitally watermarked, DRM-free
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  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-1-4614-4707-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-1-4899-9755-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
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  • can be used across all devices
About this Textbook

Like its predecessor, this book starts from the premise that, rather than being a purely mathematical discipline, probability theory is an intimate companion of statistics. The book starts with the basic tools, and goes on to cover a number of subjects in detail, including chapters on inequalities, characteristic functions and convergence. This is followed by a thorough treatment of the three main subjects in probability theory: the law of large numbers, the central limit theorem, and the law of the iterated logarithm. After a discussion of generalizations and extensions, the book concludes with an extensive chapter on martingales. The new edition is comprehensively updated, including some new material as well as around a dozen new references.

About the authors

Allan Gut is Professor of Mathematical Statistics in the Department of Mathematics at Uppsala University, Sweden. 

Reviews

From the reviews of the second edition:

“This book of over 600 pages gives a self-contained presentation of modern probability theory. This is an updated edition of an elementary introductory book on probability theory … . Suitable as a textbook for beginning students in mathematics, statistics, computer science or economics … . Also, it will be very useful to students and researchers in mathematics or theoretical physics.” (Teodora-Liliana Rădulescu, zbMATH, Vol. 1267, 2013)

Table of contents (10 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4614-4708-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-1-4614-4707-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-1-4899-9755-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Probability: A Graduate Course
Authors
Series Title
Springer Texts in Statistics
Series Volume
75
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4614-4708-5
DOI
10.1007/978-1-4614-4708-5
Hardcover ISBN
978-1-4614-4707-8
Softcover ISBN
978-1-4899-9755-5
Series ISSN
1431-875X
Edition Number
2
Number of Pages
XXVI, 602
Topics