Probability with R: An Introduction with Computer Science Applications, 2nd Edition

  • 5h 9m
  • Jane M. Horgan
  • John Wiley & Sons (US)
  • 2020

Provides a comprehensive introduction to probability with an emphasis on computing-related applications

This self-contained new and extended edition outlines a first course in probability applied to computer-related disciplines. As in the first edition, experimentation and simulation are favoured over mathematical proofs. The freely down-loadable statistical programming language R is used throughout the text, not only as a tool for calculation and data analysis, but also to illustrate concepts of probability and to simulate distributions. The examples in Probability with R: An Introduction with Computer Science Applications, Second Edition cover a wide range of computer science applications, including: testing program performance; measuring response time and CPU time; estimating the reliability of components and systems; evaluating algorithms and queuing systems.

Chapters cover: The R language; summarizing statistical data; graphical displays; the fundamentals of probability; reliability; discrete and continuous distributions; and more.

This second edition includes:

  • improved R code throughout the text, as well as new procedures, packages and interfaces;
  • updated and additional examples, exercises and projects covering recent developments of computing;
  • an introduction to bivariate discrete distributions together with the R functions used to handle large matrices of conditional probabilities, which are often needed in machine translation;
  • an introduction to linear regression with particular emphasis on its application to machine learning using testing and training data;
  • a new section on spam filtering using Bayes theorem to develop the filters;
  • an extended range of Poisson applications such as network failures, website hits, virus attacks and accessing the cloud;
  • use of new allocation functions in R to deal with hash table collision, server overload and the general allocation problem.

The book is supplemented with a Wiley Book Companion Site featuring data and solutions to exercises within the book.

Primarily addressed to students of computer science and related areas, Probability with R: An Introduction with Computer Science Applications, Second Edition is also an excellent text for students of engineering and the general sciences. Computing professionals who need to understand the relevance of probability in their areas of practice will find it useful.

About the Author

JANE M. HORGAN is Emeritus Professor of Statistics in the School of Computing, Dublin City University, Ireland. A Fellow of the Institute of Statisticians, she graduated in Statistics with a First Class Honours from University College Cork and completed postgraduate work at the London School of Economics and at London City University. Dr. Horgan has published extensively in statistics and computing.

In this Book

  • Basics of R
  • Summarizing Statistical Data
  • Graphical Displays
  • Probability Basics
  • Rules of Probability
  • Conditional Probability
  • Posterior Probability and Bayes
  • Reliability
  • Introduction to Discrete Distributions
  • The Geometric Distribution
  • The Binomial Distribution
  • The Hypergeometric Distribution
  • The Poisson Distribution
  • Sampling Inspection Schemes
  • Introduction to Continuous Distributions
  • The Exponential Distribution
  • Queues
  • The Normal Distribution
  • Process Control
  • The Inequalities of Markov and Chebyshev
  • Postface