Lectures on the Nearest Neighbor Method

Table of Contents

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   Book Overview
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   Chapter 1 Order statistics and nearest neighbors
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   Chapter 2 The nearest neighbor distance
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   Chapter 3 The k -nearest neighbor density estimate
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   Chapter 4 Uniform consistency
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   Chapter 5 Weighted k -nearest neighbor density estimates
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   Chapter 6 Local behavior
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   Chapter 7 Entropy estimation
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   Chapter 8 The nearest neighbor regression function estimate
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    Chapter 9 The 1-nearest neighbor regression function estimate
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    Chapter 10 L p -consistency and Stone’s theorem
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    Chapter 11 Pointwise consistency
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    Chapter 12 Uniform consistency
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    Chapter 13 Advanced properties of uniform order statistics
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    Chapter 14 Rates of convergence
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    Chapter 15 Regression: the noiseless case
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    Chapter 16 The choice of a nearest neighbor estimate
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    Chapter 17 Basics of classification
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    Chapter 18 The nearest neighbor rule: fixed k
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    Chapter 19 The nearest neighbor rule: variable k
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    Chapter 20 Appendix