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On computation of clustering coefficient in a class of random networks
random graph clustering degree of separation
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2012/9/18
The random networks enriched with additional structures asmetric and group-symmetry in background metric space are investigated. The important quantities like he clustering coefficient as well as the ...
On adaptive wavelet estimation of a class of weighted densities
Weighted density density estimation plug-in approach wavelets block thresholding reliability series system parallel system.
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2012/9/18
We investigate the estimation of a weighted density taking the formg=w(F)f, where fdenotes an unknown density,Fthe associated distribution function andwis a known (non-negative) weight.Such a class en...
Abstract art grandmasters score like class D amateurs
Abstract art grandmasters score like class D amateurs
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2011/7/6
Hawley-Dolan and Winner had asked the art students to compare paintings by abstract artists with paintings made by a child or by an animal. In 67% of the cases, art students said that the painting by ...
Generalization error for multi-class margin classification
Convex and nonconvex losses import vector machines $psi$-learning sparse learning support vector machines
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2009/9/16
In this article, we study rates of convergence of the generalization error of multi-class margin classifiers. In particular, we develop an upper bound theory quantifying the generalization error of va...
A class of unbiased location invariant Hill-type estimators for heavy tailed distributions
Asymptotic normality Location invariant Hilltype heavy tailed index estimator Second order regular variation
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2009/9/16
Based on the methods provided in Caeiro and Gomes (2002) and Fraga Alves (2001), a new class of location invariant Hill-type estimators is derived in this paper. Its asymptotic distributional represen...
Estimation in a class of nonlinear heteroscedastic time series models
Conditional least-squares estimation Conditional likelihood estimation Heteroscedastic models Kernel density estimation LATEX2ε
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2009/9/16
Parameter estimation in a class of heteroscedastic time series models is investigated. The existence of conditional least-squares and conditional likelihood estimators is proved. Their consistency and...