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Marginal empirical likelihood and sure independence screening
Empirical likelihood high dimensional data analysis independence sure screening large deviation
2016/1/25
We study a marginal empirical likelihood approach in scenarios when the num-ber of variables grows exponentially with the sample size. The marginal empirical likelihood ratios as functions of the para...
Nonparametric Independence Screening in Sparse Ultra-High Dimensional Varying Coefficient Models
Sure independence screening Variable selection Sparsity Conditional permutation False posi-tive rates
2013/4/27
The varying-coefficient model is an important nonparametric statistical model that allows us to examine how the effects of covariates vary with exposure variables. When the number of covariates is big...
Nonparametric Independence Screening in Sparse Ultra-High Dimensional Varying Coefficient Models
Sure independence screening Variable selection Sparsity Conditional permutation False posi-tive rates
2013/4/27
The varying-coefficient model is an important nonparametric statistical model that allows us to examine how the effects of covariates vary with exposure variables. When the number of covariates is big...
Sure Independence Screening in Generalized Linear Models with NP-Dimensionality
generalized linear models independent learning sure indepen-dent screening variable selection
2010/3/19
Ultrahigh dimensional variable selection plays an increasingly
important role in contemporary scientific discoveries and statisti-
cal research. Among others, Fan and Lv (2008) propose an indepen-
...
Determining full conditional independence by low-order conditioning
conditional independence graphical models Markov properties separability ingraphs undirected graphs
2010/4/29
A concentration graph associated with a random vector is an undirected graph where each
vertex corresponds to one random variable in the vector. The absence of an edge between any
pair of vertices (...
Notions of independence for random variables。
A WARNING ABOUT AN INDEPENDENCE PROPERTY RELATED TO RANDOM BROVCTNIAN SCALING
Standard Brownian motion Brownian scaling excursion last zero first zero Brownian meander
2009/9/18
In this note, which develops a part of our paper [2], we
consider independence properties between Brownian motion, after
Brownian scaling on a random interval (a, b), and the length (b-a) of
the in...
Decomposing Independence Model Using Collapsed Tables for Contingency Tables Having Ordered Categories
Decomposing Independence Model Collapsed Tables Contingency Tables
2009/9/17
Decomposing Independence Model Using Collapsed Tables for Contingency Tables Having Ordered Categories。
Determinantal processes and independence
determinantal processes determinantal independence
2009/5/18
We give a probabilistic introduction to determinantal and permanental point processes. Determinantal processes arise in physics (fermions, eigenvalues of random matrices) and in combinatorics (noninte...
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...