An Introduction to Probability and Statistical Inference


  • George Roussas, University of California, Davis, USA
  • George Roussas, University of California, Davis, USA

Roussas introduces readers with no prior knowledge in probability or statistics, to a thinking process to guide them toward the best solution to a posed question or situation. An Introduction to Probability and Statistical Inference provides a plethora of examples for each topic discussed, giving the reader more experience in applying statistical methods to different situations. "The text is wonderfully written and has the mostcomprehensive range of exercise problems that I have ever seen." — Tapas K. Das, University of South Florida"The exposition is great; a mixture between conversational tones and formal mathematics; the appropriate combination for a math text at [this] level. In my examination I could find no instance where I could improve the book." — H. Pat Goeters, Auburn, University, Alabama
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Researchers and practitioners in engineering, business, social sciences or agriculture.


Book information

  • Published: December 2002
  • ISBN: 978-0-12-599020-2

Table of Contents

Some Motivating Examples and Some Fundamental Concepts; The Concept of Probability and Some Basic Results; Numerical Characteristics of a Random Variable, Some Special Random Variables; Joint and Conditionalp.d.f:s, Conditional Expectation and Variance, Moment Generating Function, Covariance and Correlation Coefficient; Independence of Random Variables and Some Applications; Transformation of Random Variables; Modes of Convergence of Random Variables, Applications; An Overview of Statistical Inference; Point Estimation; Confidence Intervals and Confidence Regions; Testing Hypotheses; More About Testing Hypotheses; A Simple Linear Regression Model; Two Analysis of Variance Models; Some Topics in Nonparametric Inference