Algebraic Methods in Statistics and Probability II: AMS Special Session Algebraic Methods in Statistics and Probability, March 27-29, 2009, University of Illinois at Urbana-Champaign, Champaign, IL, Volume 2
This volume is based on lectures presented at the AMS Special Session on Algebraic Methods in Statistics and Probability---held March 27-29, 2009, at the University of Illinois at Urbana-Champaign---and on contributed articles solicited for this volume.
A decade after the publication of Contemporary Mathematics Vol. 287, the present volume demonstrates the consolidation of important areas, such as algebraic statistics, computational commutative algebra, and deeper aspects of graphical models.
In statistics, this volume includes, among others, new results and applications in cubic regression models for mixture experiments, multidimensional Fourier regression experiments, polynomial characterizations of weakly invariant designs, toric and mixture models for the diagonal-effect in two-way contingency tables, topological methods for multivariate statistics, structural results for the Dirichlet distributions, inequalities for partial regression coefficients, graphical models for binary random variables, conditional independence and its relation to sub-determinants covariance matrices, connectivity of binary tables, kernel smoothing methods for partially ranked data, Fourier analysis over the dihedral groups, properties of square non-symmetric matrices, and Wishart distributions over symmetric cones.
In probability, this volume includes new results related to discrete-time semi-Markov processes, weak convergence of convolution products in semigroups, Markov bases for directed random graph models, functional analysis in Hardy spaces, and the Hewitt-Savage zero-one law.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Some Algebraic Methods in SemiMarkov Chains
Selfavoiding Generating Sequences for Fourier Lattice Designs
Weakly Invariant Designs Rotatable Designs and Polynomial Designs
Geometry of Diagonaleffect Models for Contingency Tables
Statistical Topology via Morse Theory Persistence and Nonparametric Estimation
Convolution Products of Probability Measures on a Compact Semigroup with Applications to Random Measures
Completely Simple Semigroups of Real d d Matrices and Recurrent Random Walks
Projections on Invariant Subspaces
A Zeroone Law for Linear Transformations of LÚvy Noise
Connecting Tables with Zeroone Entries by a Subset of a Markov Basis
Covariance Trees and Wishart Distributions on Cones
A Kernel Smoothing Approach to Censored Preference Data
Combining Statistical Models
Algebraic Statistics for a Directed Random Graph Model with Reciprocation
Regular Fractions and Indicator Polynomials
Structural Properties of the Generalized Dirichlet Distributions
On Qualitative Comparison of Partial Regression Coefficients for Gaussian Graphical Markov Models
Geometry of the Restricted Boltzmann Machine
Smoothness of Gaussian Conditional Independence Models
Dihedral Fourier Analysis
On a Class of Singular Nonsymmetric Matrices with Nonnegative Integer Spectra
Some Hypothesis Tests for Wishart Models On Symmetric Cones
Other editions - View all
2010 American Mathematical algebraic statistics binomials coefficients complete computation conditional independence consider Contemporary Mathematics convolution corresponding covariance decomposition defined denote diagonal dimension Dirichlet distributions E-mail address edges eigenvalues elements entries equations estimator example families finite Fourier function Gaussian geometry given graph graphical models Graver basis Gr÷bner basis homology idempotent indicator polynomial integer invariant inverse irreducible Jordan algebra kernel Latin squares Lebesgue measure Lemma linear Markov basis Markov combination Mathematics Subject Classification matrix meta-consistent monomial multivariate obtain orthogonal p1 model parameter permutations probability PROOF properties Proposition random variables Rasch model regression relations representable rows Section semi-Markov semigroup sequence simple semigroup space sublevel set subset symmetric cone Theorem 2.1 toric ideal tropical Vcor Wishart distribution zero zero-one tables