An Introduction to Probability and Statistical Inference

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

Probability models, statistical methods, and the information to be gained from them is vital for work in business, engineering, sciences (including social and behavioral), and other fields. Data must be properly collected, analyzed and interpreted in order for the results to be used with confidence.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.

Audience
Researchers and practitioners in engineering, business, social sciences or agriculture.

Hardbound, 523 Pages

Published: December 2002

Imprint: Academic Press

ISBN: 978-0-12-599020-2

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

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