Multivariate Probability (Arnold Texts in Statistics)

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9780340719961: Multivariate Probability (Arnold Texts in Statistics)
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A multivariate situation arises when there is more than one variable influencing a given set of data and multivariate probability is usually a prerequisite for a course in stochastic processes. By combining both topics together, McColl has produced a textbook that is suitable for second through third year study of mathematics and statistics. There are many worked examples, and the use of real life applications gives the book a practical emphasis that will make higher level texts easily understood.

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This book is a comprehensive guide to multivariate probability for students who have an elementary knowledge of probability and are ready to move on to more advanced concepts

  • Topics covered include:
  • A review of basic probability theory, including core ideas about random variables
  • Bivariate distributions and the general theory of random vectors
  • Relationships between random variables
  • Normal linear model and multivariate sampling distributions
  • Generating functions and convergence.

Each section is illustrated with numerous examples. Multivariate probability deliberately avoids a measure-theoretic approach in order to make these complex concepts easily accessible to a broad readership. Attention is restricted to discrete and (absolutely) continuous random variables. Although proofs are given of all the main results, this book is primarily intended to provide readers with the tools they require to build appropriate probability models for real-life situations. The usefulness of simulation in this respect is emphasized throughout the book.

About the Author:

John McColl, Department of Statistics, University of Glasgow, UK

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