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High Dimensional Influence Measure
Cook’s distance High dimensional diagnosis Influential obser- vation Lasso
2016/1/25
Influence diagnosis is important since presence of influential ob-servations could lead to distorted analysis and misleading interpreta-tions. For high dimensional data, it is particularly so, as the ...
Law of large numbers for branching symmetric Hunt processes with measure-valued branching rates
Law of large numbers branching Hunt processes spine approach h-transform spectral gap
2016/1/20
We establish weak and strong law of large numbers for a class of branching symmetric Hunt processes with the branching rate being a smooth measure with respect to the underlying Hunt process, and the ...
A moderate deviation principle for empirical bootstrap measure
Large deviations moderate deviations bootstrap empirical measure
2012/6/27
We establish two moderate deviation principles (MDP) in the bootstrap setting. We prove MDP for the joint distribution of the empirical measure and the empirical bootstrap measure (empirical measure o...
Shuffles of copulas and a new measure of dependence
copulas shuffles of Min measure-preserving, Sobolev norm
2012/4/18
Using a characterization of Mutual Complete Dependence copulas, we show that, with respect to the Sobolev norm, the MCD copulas can be approximated arbitrarily closed by shuffles of Min. This result i...
A measure of statistical complexity based on predictive information
measure of statistical complexity predictive information
2011/1/19
We introduce an information theoretic measure of statistical structure, called ‘binding informa-tion’, for sets of random variables, and compare it with several previously proposed measures in-cluding...
Estimation of the spectral measure of multivariate regularly varying distributions
regularly varying distributions estimation of parameters stable distributions spectral measure
2010/12/9
In the paper, the estimator for the spectral measure of multivariate stable distributions introduced by Davydov and co-workers are extended to the regularly varying distributions. The sampling method ...
Completing Aronov et al.’s study on zero-discrepancymatrices for digital halftoning, we determine all (m, n, k, l) for which it is possible to put mn consecutive integers on an m × n board (with wrap-...