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Logarithmic Sobolev Inequality for Zero——Range Dynamics：Independence of the Number of Particles
Logarithmic Sobolev Inequality Zero Range Dynamics
2009/4/8
We prove that the logarithmic-Sobolev constant for Zero-Range Processes in a box of diameter L may depend on L but not on the number of particles. This is a first, but relevant and quite technical ste...
An adaptive step-down procedure with proven FDR control under independence
Multiple testing false discovery rate
2010/3/19
In this work we study an adaptive step-down procedure for testing
m hypotheses. It stems from the repeated use of the false discovery
rate controlling the linear step-up procedure (sometimes called
...
Adaptive FDR control under independence and dependence
Adaptive FDR control independence dependence
2010/4/30
In the context of multiple hypotheses testing, the proportion 0 of true null hypotheses
in the pool of hypotheses to test often plays a crucial role, although it is generally
unknown a priori. A te...
On the Permutation Distribution of Independence Tests
Independence tests Linear rank test Permutation distribution Saddlepoint approximation
2010/3/18
One of the most popular class of tests for independence between two random
variables is the general class of rank statistics which are invariant under
permutations. This class contains Spearman’s co...
High-dimensional classification using features annealed independence rules
Classification feature extraction high dimensionality independencerule misclassification rates
2010/4/26
Classification using high-dimensional features arises frequently
in many contemporary statistical studies such as tumor classification
using microarray or other high-throughput data. The impact of
...
Markov basis and Groebner basis of Segre-Veronese configuration for testing independence in group-wise selections
contingency table diplotype exact tests haplotype Hardy-Weinberg model Markov chain Monte Carlo National Center Test
2010/4/27
We consider testing independence in group-wise selections with
some restrictions on combinations of choices. We present models for frequency
data of selections for which it is easy to perform condit...
Binary Models for Marginal Independence
bi-directed graph covariance graph graphical Markov model iterative conditional fitting maximum likelihood estimation Mobius inversion
2010/4/30
Log-linear models are a classical tool for the analysis of contingency tables.
In particular, the subclass of graphical log-linear models provides a general
framework for modelling conditional indep...
In this note we prove a large deviation bound on the sum of random variables with the
following dependency structure: there is a dependency graph G with a bounded chromatic
number, in which each ver...