Review of Elementary Probability Theory

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1 Author(s)

This chapter contains sections titled:

  • Sample Space, Events, and Probabilities

  • Random Variables

  • Cumulative Distribution Functions, Expectation, and Moment Generating Functions

  • Discretely Distributed Random Variables

  • Continuously Distributed Random Variables

  • Some Useful Inequalities

  • Joint Distribution Functions

  • Conditional Expectation

  • Independent Random Variables

  • Conditional Independence

  • A Law of Large Numbers

  • First-Order Autoregressive Estimators

  • Measures of Separation Between Distributions

  • Statistical Confidence

  • Deciding Between Two Alternative Claims

  • Problems