下边深陷
发表于 2025-3-23 11:33:03
The ,-nearest neighbor density estimatef . is a small ball about ., the probability that . falls in . is about .(.) times the volume of .. It thus serves as a tool for computing probabilities of sets and, as a function that reveals the local concentration of probability mass, it may be used to visualize distributions of random variables.
PAGAN
发表于 2025-3-23 14:47:17
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Collar
发表于 2025-3-23 19:20:05
The nearest neighbor regression function estimate . depend on the values of the observation vector .. The objective is to find a Borel measurable function . such that | . − .(.) | is small, where “small” could be defined in terms of the .. risk . (. > 0), for example. Of particular interest is the .. risk of .,
cuticle
发表于 2025-3-23 23:25:34
The 1-nearest neighbor regression function estimatewill also offer the opportunity to familiarize the reader with concepts that will be encountered in the next few chapters. Recall that this very simple estimation procedure is defined by setting . where . is a reordering of the data according to increasing values of ., and distance ties are broken by looking at indices.
预定
发表于 2025-3-24 05:27:49
Regression: the noiseless case. errors with respect to the Lebesgue measure on compacts. Others use it for Monte Carlo purposes, wanting to estimate . over a compact set .. The model we study here takes a sample . of i.i.d. random vectors with a density . on . that is not known.
草率女
发表于 2025-3-24 10:07:51
Gérard Biau,Luc DevroyePresents a rigorous overview of nearest neighbor methods.Many different components covered: statistical, probabilistic, combinatorial, and geometric ideas.Extensive appendix material provided
Alveoli
发表于 2025-3-24 14:15:40
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胆大
发表于 2025-3-24 15:39:30
Order statistics and nearest neighborsWe start with some basic properties of uniform order statistics. For a general introduction to probability, see Grimmett and Stirzaker (2001). Some of the properties of order statistics presented in this chapter are covered by Rényi (1970); Galambos (1978), and Devroye (1986).
Retrieval
发表于 2025-3-24 22:13:55
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礼节
发表于 2025-3-25 02:07:45
Uniform consistencyThis chapter is devoted to the study of the uniform consistency properties of the .-nearest neighbor density estimate ... Before embarking on the supremum norm convergence, it is useful to understand the behavior of .. on bounded densities. We denote the essential supremum (with respect to the Lebesgue measure .) of the density . by