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Representations of max-stable processes based on single extreme events
extreme value statistics incremental representation max-stable process mixed moving maxima peaks-over-threshold weak convergence on function space
2012/11/23
This paper provides the basis for new methods of inference for max-stable processes \xi\ on general spaces that admit a certain incremental representation, which, in important cases, has a much simple...
Inequality for Variance of Weighted Sum of Correlated Random Variables
Variance Covariance Random Variable Chebyshev!ˉs Inequality Correlated Random Variable Positive Semidefinite Matrix Law of Large Numbers
2012/11/23
The upper bound inequality for variance of weighted sum of correlated random variables is derived according to Cauchy-Schwarz's inequality, while the weights are non-negative with sum of 1. We also gi...
Conditioned Likelihoods Using Bifurcation Continuation in Inverse Modeling of Dynamical Systems
Conditioned Likelihoods Bifurcation Continuation Inverse Modeling Dynamical Systems
2012/11/23
The Morris-Lecar (ML) model has applications to neuroscience and cognition. A simple network consisting of a pair of synaptically coupled ML neurons can exhibit a wide variety of deterministic behavio...
Calculation of Some Expected Values for Parameterized Mean Model with Gaussian Noise
Calculation Expected Values Parameterized Mean Model Gaussian Noise
2012/11/23
This document derives several expected values related to the parameterized mean model with Gaussian noise and their simplified forms.
Higher connectivity of fiber graphs of Grobner bases
Higher connectivity fiber graphs Grobner bases
2012/11/23
Fiber graphs of Gr\"obner bases from contingency tables are important in statistical hypothesis testing, where one studies random walks on these graphs using the Metropolis-Hastings algorithm. The con...
Probability Distribution of the Quality Factor of a Mode-Stirred Reverberation Chamber
Probability Distribution Quality Factor a Mode-Stirred Reverberation Chamber
2012/11/23
We derive a probability distribution, confidence intervals and statistics of the quality (Q) factor of an arbitrarily shaped mode-stirred reverberation chamber, based on ensemble distributions of the ...
Optimal Control of dams using P(M,Lambda,tau) policies when the input process is an inverse Gaussian process
Optimal Control of dams P(M,Lambda,tau) policies When the input process inverse Gaussian process
2012/11/23
We consider the P(M,lambda,tau) maintenance policy of a dam using the total discounted and long-run average costs, when the input process is inverse Gaussian.
Proximal methods for the latent group lasso penalty
Structured sparsity proximal methods regularization
2012/11/23
We consider a regularized least squares problem, with regularization by structured sparsity-inducing norms, which extend the usual $\ell_1$ and the group lasso penalty, by allowing the subsets to over...
Estimating the historical and future probabilities of large terrorist events
Estimating the historical future probabilities large terrorist events
2012/11/23
Quantities with right-skewed distributions are ubiquitous in complex social systems, including political conflict, economics and social networks, and these systems sometimes produce extremely large ev...
Gene-centric gene-gene interaction: A model-based kernel machine method
Allele matching kernel association study gene-clustered SNPs genomic similarity reproducing kernel Hilbert space quantitative traits
2012/11/23
Much of the natural variation for a complex trait can be explained by variation in DNA sequence levels. As part of sequence variation, gene-gene interaction has been ubiquitously observed in nature, w...
The importance of distinct modeling strategies for gene and gene-specific treatment effects in hierarchical models for microarray data
Diffierential expression EM algorithm hierarchical models random effects uncertainty
2012/11/23
When analyzing microarray data, hierarchical models are often used to share information across genes when estimating means and variances or identifying differential expression. Many methods utilize so...
Detecting mutations in mixed sample sequencing data using empirical Bayes
Detecting mutations mixed sample sequencing data empirical Bayes
2012/11/23
We develop statistically based methods to detect single nucleotide DNA mutations in next generation sequencing data. Sequencing generates counts of the number of times each base was observed at hundre...
A two-way regularization method for MEG source reconstruction
Inverse problem MEG two-way regularization spatiotemporal
2012/11/23
The MEG inverse problem refers to the reconstruction of the neural activity of the brain from magnetoencephalography (MEG) measurements. We propose a two-way regularization (TWR) method to solve the M...
Geometric Ergodicity & Scanning Strategies For Two-Component Gibbs Samplers
Geometric Ergodicity Scanning Strategies Two-Component Gibbs Samplers
2012/11/23
In any Markov chain Monte Carlo analysis, rapid convergence of the chain to its target probability distribution is of practical and theoretical importance. A chain that converges at a geometric rate i...
Classification in postural style
Aggregation classification cross-validation postural style targeted minimum loss learning(TMLE) top-scoring pairs classifier super-learning
2012/11/23
This article contributes to the search for a notion of postural style, focusing on the issue of classifying subjects in terms of how they maintain posture. Longer term, the hope is to make it possible...