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Birkhäuser

Introduction to Probability with Statistical Applications

  • Textbook
  • © 2007

Overview

  • Theory and applications carefully balanced
  • Presentation is rigorous and contains theorems and proofs
  • Linear algebra is largely avoided
  • Clear definitions, simplified notation and techniques of statistical analysis
  • Well-chosen examples and exercises
  • Includes supplementary material: sn.pub/extras
  • Request lecturer material: sn.pub/lecturer-material

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Table of contents (7 chapters)

Keywords

About this book

Introduction to Probability with Statistical Applications targets non-mathematics students, undergraduates and graduates, who do not need an exhaustive treatment of the subject. While the presentation is rigorous and contains theorems and proofs, linear algebra is largely avoided and only a minimal amount of multivariable calculus is needed.

Key features:
Clear definitions, simplified notation and techniques of statistical analysis, combined with well-chosen examples and exercises, motivate the exposition
Theory and applications carefully balanced
Topics include random phenomena -- discrete and continuous random variables -- expectations and variance, and common probability distributions such as the binomial, Poisson, and normal
Combinatorial principles involve all four arithmetic operations; emphasis on tree diagrams
References to more advanced concepts throughout the book, but may be safely skipped, depending on the reader

For students in a variety of disciplines, including computer science, engineering, natural and social sciences.

Reviews

From the reviews:

"The textbook under consideration provides material for approximately a two semester introductory course in probability theory and statistics at the university level, particularly for students with non-mathematical major subjects, such as computer sciences, engineering and other natural and social sciences. It includes seven chapters in about 300 pages covering the most relevant basic fields. … The large amount of exercises, a lot of diagrams and the mnemonic heading of each statement and definition will find a thankful audience for sure." (Michael Högele, Zentralblatt MATH, Vol. 1135 (13), 2008)

"This textbook is a classical and well-written introduction to probability theory and statistics. … the book is written ‘for an audience such as computer science students, whose mathematical background is not very strong and who do not need the detail and mathematical depth of similar books written for mathematics or statistics majors.’ … Each new concept is clearly explained and is followed by many detailed examples. … numerous examples of calculations are given and proofs are well-detailed." (Sophie Lemaire, Mathematical Reviews, Issue 2008 m)

Authors and Affiliations

  • Department of Mathematics, University of Massachusetts Boston, Boston, U.S.A

    Géza Schay

Bibliographic Information

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