Statistical Decision Theory

Statistical Decision Theory

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The application of statistical decision theory to problems in communications and radar is being actively pursued. Despite the power of the method, certain limitations restrict its range of application. These limitations result from requirements on the system model that can never be completely satisfied in practice.

Chapter Contents:

  • 8.1 Introduction
  • 8.2 Elements of a Statistical Decision Problem
  • 8.3 Reception as a Decision Problem
  • 8.4 Definition of Loss Function
  • 8.5 Binary Detection
  • 8.6 Bayes Decision Rule
  • 8.7 Examples of Bayes Detectors
  • 8.8 Error Probabilities
  • 8.9 The Ideal Observer
  • 8.10 The Neyman-Pearson Criterion
  • 8.11 The Minimax Approach
  • 8.12 Review
  • 8.13 Bayes Solutions for Complex Cost Functions
  • 8.14 Preferred Neyman-Pearson Strategy
  • 8.15 Intuitive Subsititute
  • 8.16 Fixed and Sequential Testing
  • 8.17 Concluding Remarks
  • Problems
  • References

Inspec keywords: statistical analysis; decision theory; radar detection

Other keywords: radar detection; statistical decision theory; system model

Subjects: Signal detection; Radar theory; Game theory

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