منابع مشابه
Local Linear Spatial Quantile Regression
Let {(Yi,Xi), i ∈ Z} be a stationary real-valued (d+1)-dimensional spatial processes. Denote by x 7→ qp(x), p ∈ (0, 1), x ∈ R, the spatial quantile regression function of order p, characterized by P{Yi ≤ qp(x)|Xi = x} = p. Assume that the process has been observed over an N -dimensional rectangular domain of the form In := {i = (i1, . . . , iN) ∈ Z N |1 ≤ ik ≤ nk, k = 1, . . . , N}, with n = (n...
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As sample quantiles can be obtained as maximum likelihood estimates of location parameters in suitable asymmetric Laplace distributions, so kernel estimates of quantiles can be obtained as maximum likelihood estimates of location parameters in a general class of distributions with simple exponential tails. In this paper, this observation is applied to kernel quantile regression. In so doing, a ...
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A local linear kernel estimator of the regression function x 7→ g(x) := E[Yi|Xi = x], x ∈ R , of a stationary (d+1)-dimensional spatial process {(Yi,Xi), i ∈ Z } observed over a rectangular domain of the form In := {i = (i1, . . . , iN ) ∈ Z N |1 ≤ ik ≤ nk, k = 1, . . . ,N}, n = (n1, . . . , nN ) ∈ Z N , is proposed and investigated. Under mild regularity assumptions, asymptotic normality of th...
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ژورنال
عنوان ژورنال: Bernoulli
سال: 2009
ISSN: 1350-7265
DOI: 10.3150/08-bej168