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Some Proofs on Statistical Magnitudes for Continuous Phenomena
Near-continuity disequilibrium Shannon information statistical complexity
2010/3/11
In this work, the proofs concerning the continuity of the disequilibrium, Shannon information and statistical
complexity in the space of distributions are presented. Also, some results on the existen...
Statistical tests for whether a given set of independent,identically distributed draws does not come from a specified probability density
Kolmogorov-Smirnov nonparametric goodness-of-fit outlier distributionfunction nonincreasing rearrangement
2010/3/9
We discuss several tests for whether a given set of independent and identically
distributed (i.i.d.) draws does not come from a specified probability density function.
The most commonly used are Kol...
Thresholded Lasso for high dimensional variable selection and statistical estimation
Linear regression Lasso Gauss-Dantzig Selector 1 regularization 0 penalty multiple-stepprocedure ideal model selection
2010/3/10
Given n noisy samples with p dimensions, where n p, we show that the multi-step thresholding procedure based on the Lasso – we call it the Thresholded Lasso, can accurately estimate a sparse vector ...
Locally adaptive image denoising by a statistical multiresolution criterion
Image reconstruction statistical multiresolution crite-rion bandwidth selection
2010/3/9
We demonstrate how one can choose the smoothing parameter in
image denoising by a statistical multiresolution criterion, both globally
and locally. Using inhomogeneous di usion and total variation r...
Equilibrium Distributions in Open and Closed Statistical Systems
Equiprobability asymptotic equilibrium distributions geometrical derivation
2010/3/9
In this communication, the derivation of the Boltzmann-Gibbs and the Maxwellian distributions is presented from
a geometrical point of view under the hypothesis of equiprobability. It is shown that b...
Testing statistical hypotheses in quantum theory (in Russian)
Testing statistical hypotheses quantum theory
2009/9/24
Testing statistical hypotheses in quantum theory (in Russian)。
Comparison of some statistical experiments associated with sampling plans
Comparison some statistical experiments sampling plans
2009/9/24
Comparison of some statistical experiments associated with sampling plans。
Scale invariance of statistical experiments。
Statistical characterizations of Gaussian measures on a Hilbert space
Statistical characterizations Gaussian measures a Hilbert space
2009/9/24
Statistical characterizations of Gaussian measures on a Hilbert space。
An invariance principle for processes indexed by two parameters and some statistical applications
An invariance principle two parameters some statistical applications
2009/9/23
An invariance principle for processes indexed by two parameters and some statistical applications。
Statistical models defined by sufficiency。
Hilbert space valued traces and multiple Stratonovich integrals with statistical applications
Hilbert space valued traces multiple Stratonovich integrals statistical applications
2009/9/22
Multiple Stratonovich integrals (MSI) with respect to
the Wiener process and the Brownian bridge are defined for a class of
kernels having k-th order t-traces which are, in general different from
t...
A dramaticsmeeting of the Royal Statistical Society occurred on December 18, 1934,
when R. A. Fisher - already at the height of his fame although not universally
popular - presented a paper on The l...
Consistency of statistical models described by families of reversed submartingales
Consistency of statistical models families of reversed submartingales
2009/9/22
A large number of statistical models is described by
a family of reversed submartingales converging to degenerated limits.
The problem under consideration is to estimate the maximum points
of the l...
On the Measure of the Information in a Statistical Experiment
Convex ordering design of experiments divergence measure mutual information optimal design posterior to prior ratio
2009/9/22
In this article we explicitly state a minimal set of
requirements that must be satisfied by all such measures. Under that framework,
the measure of the information in an experiment is equivalent to ...