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Graver basis for an undirected graph and its application to testing the beta model of random graphs
Markov basis Markov chain Monte Carlo Rasch model toric ideal
2011/3/21
In this paper we give an explicit and algorithmic description of Graver basis for the toric ideal associated with a simple undirected graph and apply the basis for testing the beta model of random gra...
On the Regular Variation of Ratios of Jointly Frechet Random Variables
Regular variation multivariate Frechet distribution spectral
2011/3/18
We provide a necessary and sufficient condition for the ratio of two jointly alpha-Frechet random variables to be regularly varying. This condition is based on the spectral representation of the joint...
A comparison principle for functions of a uniformly random subspace
A comparison principle for functions random subspace
2011/3/25
This note demonstrates that it is possible to bound the expectation of an arbitrary norm of a random matrix drawn from the Stiefel manifold in terms of the expected norm of a standard Gaussian matrix ...
Linearization effect in multifractal analysis: Insights from Random Energy Model analysis
Statistical Mechanics (cond-mat.stat-mech) Probability (math.PR) Statistics Theory (math.ST)
2010/12/17
The analysis of the linearization effect in multifractal analysis, and hence of the estimation of moments for multifractal processes, is revisited borrowing concepts from the statistical physics of di...
Uniform error bounds for a continuous approximation of non-negative random variables
gamma distribution Laplace transform phase-type distribution
2010/10/19
In this work, we deal with approximations for distribution functions of non-negative random variables. More specifically, we construct continuous approximants using an acceleration technique over a w...
A new method for obtaining sharp compound Poisson approximation error estimates for sums of locally dependent random variables
compound Poisson approximation coupling inequality law of small numbers
2010/10/19
Let $X_1,X_2,...,X_n$ be a sequence of independent or locally dependent random variables taking values in $\mathbb{Z}_+$. In this paper, we derive sharp bounds, via a new probabilistic method, for the...
Nonparametric inference procedure for percentiles of the random effects distribution in meta-analysis
Bivariate beta conditional permutation test
2010/10/19
To investigate whether treating cancer patients with erythropoiesis-stimulating agents (ESAs) would increase the mortality risk, Bennett et al. [Journal of the American Medical Association 299 (2008) ...
On the Existence of the MLE for a Directed Random Graph Network Model with Reciprocation
Algebraic statistics Dyadic independence Exponential random graph model
2010/10/14
Holland and Leinhardt (1981) proposed a directed random graph model, the p1 model, to describe dyadic interactions in a social network. In previous work (Petrovic et al., 2010), we studied the algebra...
A further generalization of random self-decomposability
further generalization random self-decomposability
2010/10/19
The notion of random self-decomposability is generalized further. The notion is then extended to non-negative integer-valued distributions.
A Random Matrix--Theoretic Approach to Handling Singular Covariance Estimates
Random Matrix--Theoretic Approach Handling Singular Covariance Estimates
2010/10/19
In many practical situations we would like to estimate the covariance matrix of a set of variables from an insufficient amount of data. More specifically, if we have a set of $N$ independent, identica...
Some Theory for the Analysis of Random Fields——With Applications to Geostatistics
Some Theory Random Fields Applications to Geostatistics
2010/4/26
Ich erkl¨are ehrenw¨ortlich, dass ich die vorliegende Schrift verfasst und die
mit ihr unmittelbar verbundenen Arbeiten selbst durchgef¨uhrt habe. Die in
der Schrift verwendete Literatur sowie das A...
Beta-binomial/gamma-Poisson regression models for repeated counts with random parameters
bivariate counts longitudinal data overdispersion random effects regressionmodels
2010/3/11
Beta-binomial/Poisson models have been used by many authors to model multivariate
count data. Lora and Singer (Statistics in Medicine, 2008) extended such models
to accommodate repeated multivariate...
Defining probability density for a distribution of random functions
Density estimation dimension eigenfunction eigenvalue functionaldata analysis kernel methods log-density estimation nonparametric statistics
2010/3/11
The notion of probability density for a random function is not
as straightforward as in finite-dimensional cases. While a probability
density function generally does not exist for functional data, w...
Estimation in Dirichlet random effects models
Linear mixed models generalized linear mixed models hierarchicalmodels Gibbs sampling Bayes estimation
2010/3/10
We also investigate methods for the estimation of the precision parameter
of the Dirichlet process, finding that maximum likelihood
may not be desirable, but a posterior mode is a reasonable approac...
On the neighborhood radius estimation in Variable-neighborhood Markov Random Fields
Gibbs measures random lattice fields variable-neighborhood Markovrandom fields Markovian approximations Context algorithm consistent estimation
2010/3/11
We consider Markov Random Fields defined by finite-region conditional probabilities
depending on a neighborhood of the region which changes with the boundary conditions.
The formal definition of the...