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We give a highly efficient "semi-agnostic" algorithm for learning univariate probability distributions that are well approximated by piecewise polynomial density functions. Let $p$ be an arbitrary dis...
Kernel estimation of a probability density function supported on the unit interval has proved difficult, because of the well known boundary bias issues a conventional kernel density estimator would ne...
Recent contributions to kernel smoothing show that the performance of cross-validated bandwidth selectors improve significantly from indirectness. Indirect crossvalidation first estimates the classica...
The study of environmental problems usually requires the description of variables with di er-ent nature and the assessment of relations between them. In this work, an algorithm for exible estimation o...
We propose a method for nonparametric density estimation that exhibits robustness to contamination of the training sample. This method achieves robustness by combining a traditional kernel density est...
In this paper, we consider a k-nearest neighbor kernel type estimator when the random variables belong in a Riemannian manifolds.
It is now practically the norm for data to be very high dimensional in areas such as genetics, machine vision, image analysis and many others. When analyzing such data, parametric models are often to...
Motivated by fluorescence lifetime measurements this paper considers the problem of nonparametric density estimation in the pile-up model. Adaptive nonparametric estimators are proposed for the pile-u...
We consider the problem of estimating the predictive density of future observations from a non-parametric regression model. The density estimators are evaluated under Kullback--Leibler divergence and ...
we construct adaptive confidence bands that are honest for all densities in a “generic” subset of the union of t-H¨older balls, 0 < t  r, where r is a fixed but arbitrary integer. The exceptional (...
We study graph estimation and density estimation in high dimensions. To avoid the curse of dimensionality, we consider a family of density estimators based on tree structured undirected graphical mo...
Stochastic volatility modelling of nancial processes has become increasingly popular. The proposed models usually contain a stationary volatility process. We will motivate and review several nonparam...
A simple construction of polynomial estimators for densities and distributions on the unit interval is presented. For- Lipschitz densities the error for the mean square deviation is characterized. ...
Partial sums of the Fourier-Haar expansion in several variables are used to esstimate on cubes a probability density satisfying some Lipschitz conditions.
In [5] we have announced a h e a r spllne method for nonparametric density and distribution estimation on the real line. In this paper, asymptotic properties of a large family of such estimators a...

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