
Introduction to Nonparametric Detection with Applications
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Content
- Front Cover
- Introduction to Nonparametric Detection with Applications
- Copyright Page
- Contents
- Preface
- Chapter 1. Introduction to Nonparametric Detection Theory
- 1.1 Introduction
- 1.2 Nonparametric versus Parametric Detection
- 1.3 Historical and Mathematical Background
- 1.4 Outline of the Book
- Chapter 2. Basic Detection Theory
- 2.1 Introduction
- 2.2 Basic Concepts
- 2.3 Bayes Decision Criterion
- 2.4 Neyman-Pearson Lemma
- 2.5 Receiver Operating Characteristics
- 2.6 Composite Hypotheses
- 2.7 Detector Comparison Techniques
- 2.8 Summary
- Chapter 3. One-Input Detectors
- 3.1 Introduction
- 3.2 Parametric Detectors
- 3.3 Sign Detector
- 3.4 Wilcoxon Detector
- 3.5 Fisher-Yates, Normal Scores, or c1 Test
- 3.6 Van der Waerden's Test
- 3.7 Spearman Rho Detector
- 3.8 Kendall Tau Detector
- 3.9 summary
- Problems
- Chapter 4. One-Input Detector Performance
- 4.1 Introduction
- 4.2 Sign Detector
- 4.3 Wilcoxon Detector
- 4.4 One-Input Detector AREs
- 4.5 Small Sample Performance
- 4.6 Summary
- Problems
- Chapter 5. Two-Input Detectors
- 5.1 Introduction
- 5.2 One-Input Detectors with Reference Noise Samples
- 5.3 Two Simultaneous Input Detectors
- 5.4 Summary
- Problems
- Chapter 6. Two-Input Detector Performance
- 6.1 Introduction
- 6.2 Asymptotic Results for Parametric Detectors
- 6.3 ARE of the PCC Detector
- 6.4 ARE of the Mann-Whitney Detector
- 6.5 ARE of Other Two-Input Detectors
- 6.6 Small Sample Results
- 6.7 Summary
- Problems
- Chapter 7. Tied Observations
- 7.1 Introduction
- 7.2 General Procedures
- 7.3 Specific Studies
- 7.4 Summary
- Problems
- Chapter 8. Dependent Sample Performance
- 8.1 Introduction
- 8.2 Dependence and the Constant False Alarm Rate Property
- 8.3 Nonparametric and Parametric Detector Performance for Correlated Inputs
- 8.4 Summary
- Problems
- Chapter 9. Engineering Applications
- 9.1 Introduction
- 9.2 Radar System Applications
- 9.3 Other Engineering Applications
- 9.4 Summary
- Appendix A: Probability Density Functions
- Appendix B: Mathematical Tables
- Answers to Selected Problems
- References
- Index
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