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作者:Willinger, W; Paxson, V
作者单位:AT&T; University of California System; University of California Berkeley; United States Department of Energy (DOE); Lawrence Berkeley National Laboratory
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作者:Stone, CJ; Hansen, MH; Kooperberg, C; Truong, YK; Huang, JHZ
作者单位:University of California System; University of California Berkeley; Nokia Corporation; Nokia Bell Labs; AT&T; University of North Carolina; University of North Carolina Chapel Hill; University of Washington; University of Washington Seattle
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作者:Chaudhuri, P; Doksum, K; Samarov, A
作者单位:Indian Statistical Institute; Indian Statistical Institute Kolkata; University of California System; University of California Berkeley; Massachusetts Institute of Technology (MIT)
摘要:For fixed alpha epsilon (0, 1), the quantile regression function gives the alpha th quantile theta(alpha)(x) in the conditional distribution of a response variable Y given the value X = x of a vector of covariates. It can be used to measure the effect of covariates not only in the center of a population, but also in the upper and lower tails. A functional that summarizes key features of the quantile specific relationship between X and Y is the vector beta(alpha) of weighted expected values of ...
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作者:Hall, P; Marron, JS; Neumann, MH; Titterington, DM
作者单位:Australian National University
摘要:in problems where a high-dimensional design is projected into a lower number of dimensions, the density of the new design is typically not bounded away from zero over its support, even if the original one was. Contexts where this problem arises include projection pursuit regression, estimation in single index models and application of the projection-slice method of Radon transform inversion. Theoretical work in these settings typically involves ignoring data toward the ends of the support of t...
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作者:Avérous, J; Meste, M
作者单位:Universite de Toulouse; Universite Toulouse III - Paul Sabatier
摘要:This paper presents two approaches for qualitative, quantitative and comparative concepts of skewness to be defined with respect to the spatial median for multivariate distributions. They extend the known quantile-based notions defined for real distributions. The main tool for such extensions consists of a family of central parts that provide suitable generalizations of the real interquantile intervals.
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作者:Doss, H; Huffer, FW; Lawson, KL
作者单位:University System of Ohio; Ohio State University; Abbott Laboratories; State University System of Florida; Florida State University
摘要:We consider a coherent system S consisting of m independent components for which we do not know the distributions of the components' lifelengths. If we know the structure function of the system, then we can estimate the distribution of the system lifelength by estimating the distributions of the lifelengths of the individual components. Suppose that we can collect data under the autopsy model, wherein a system is run until a failure occurs and then the status (functioning or dead) of each comp...
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作者:Baddeley, A; Gill, RD
作者单位:University of Western Australia; Utrecht University; Leiden University - Excl LUMC; Leiden University
摘要:When a spatial point process is observed through a bounded window, edge effects hamper the estimation of characteristics such as the empty space function F, the nearest neighbor distance distribution G and the reduced second-order moment function K. Here we propose and study product-limit type estimators of F, G and K based on the analogy with censored survival data: the distance from a fixed point to the nearest point of the process is right-censored by its distance to the boundary of the win...
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作者:Beran, J
作者单位:University of Konstanz
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作者:Donoho, DL
作者单位:Stanford University; University of California System; University of California Berkeley
摘要:We study what we call dyadic CART'-a method of nonparametric regression which constructs a recursive partition by optimizing a complexity penalized sum of squares, where the optimization is over all recursive partitions arising from midpoint splits. We show that the method is adaptive to unknown degrees of anisotropic smoothness. Specifically, consider the anisotropic smoothness classes of Nikol'skii, consisting of bivariate functions f(x(1), x(2)) whose finite difference of distance h in dire...
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作者:Huang, J
作者单位:University of Iowa
摘要:We show that the nonparametric maximum likelihood estimator (NPMLE) of a distribution function based on balanced ranked set samples is consistent, converges weakly to a Gaussian process and is asymptotically efficient. The covariance function of the limiting process is described in terms of the solution to a Fredholm integral equation of the second kind.