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Part I: Density Estimation |
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Order Statistics and Nearest Neighbors |
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The Expected Nearest Neighbor Distance |
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The k-nearest Neighbor Density Estimate |
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Uniform Consistency |
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Weighted k-nearest neighbor density estimates |
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Local Behavior |
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Entropy Estimation |
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Part II: Regression Estimation |
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The Nearest Neighbor Regression Function Estimate |
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The 1-nearest Neighbor Regression Function Estimate |
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LP-consistency and Stone's Theorem |
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Pointwise Consistency |
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Advanced Properties of Uniform Order Statistics |
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Rates of Convergence |
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Regression: The Noisless Case |
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The Choice of a Nearest Neighbor Estimate |
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Part III: Supervised Classification |
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Basics of Classification |
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The 1-nearest Neighbor Classification Rule |
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The Nearest Neighbor Classification Rule. Appendix |
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Index. |
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Part I: Density Estimation |
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Order Statistics and Nearest Neighbors |
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|
The Expected Nearest Neighbor Distance |
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ＥＢ
