Softcover ISBN:  9780821848913 
Product Code:  CONM/516 
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eBook ISBN:  9780821881958 
Product Code:  CONM/516.E 
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Softcover ISBN:  9780821848913 
eBook: ISBN:  9780821881958 
Product Code:  CONM/516.B 
List Price:  $255.00 $192.50 
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AMS Member Price:  $204.00 $154.00 
Softcover ISBN:  9780821848913 
Product Code:  CONM/516 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821881958 
Product Code:  CONM/516.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821848913 
eBook ISBN:  9780821881958 
Product Code:  CONM/516.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 516; 2010; 345 ppMSC: Primary 20; 28; 42; 43; 60; 62
This volume is based on lectures presented at the AMS Special Session on Algebraic Methods in Statistics and Probability—held March 2729, 2009, at the University of Illinois at UrbanaChampaign—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 diagonaleffect in twoway 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 subdeterminants covariance matrices, connectivity of binary tables, kernel smoothing methods for partially ranked data, Fourier analysis over the dihedral groups, properties of square nonsymmetric matrices, and Wishart distributions over symmetric cones.
In probability, this volume includes new results related to discretetime semi Markov processes, weak convergence of convolution products in semigroups, Markov bases for directed random graph models, functional analysis in Hardy spaces, and the HewittSavage zeroone law.
ReadershipGraduate students and research mathematicians interested in applied mathematics, statistics, probability, and algebra.

Table of Contents

Articles

Steen A. Andersson and Thomas Klein — Kiefercomplete classes of designs for cubic mixture models [ MR 2730736 ]

Vlad Stefan Barbu and Nikolaos Limnios — Some algebraic methods in semiMarkov chains [ MR 2730737 ]

Ronald A. Bates, Hugo MaruriAguilar, Eva Riccomagno, Rainer Schwabe and Henry P. Wynn — Selfavoiding generating sequences for Fourier lattice designs [ MR 2730738 ]

Frédéric Bertrand — Weakly invariant designs, rotatable designs and polynomial designs [ MR 2730739 ]

Cristiano Bocci, Enrico Carlini and Fabio Rapallo — Geometry of diagonaleffect models for contingency tables [ MR 2730740 ]

Peter Bubenik, Gunnar Carlsson, Peter T. Kim and ZhiMing Luo — Statistical topology via Morse theory persistence and nonparametric estimation [ MR 2730741 ]

Gregory Budzban and Göran Högnäs — Convolution products of probability measures on a compact semigroup with applications to random measures [ MR 2730742 ]

Santanu Chakraborty and Arunava Mukherjea — Completely simple semigroups of real $d\times d$ matrices and recurrent random walks [ MR 2730743 ]

WanYing Chang, Rameshwar D. Gupta and Donald St. P. Richards — Structural properties of the generalized Dirichlet distributions [ MR 2730744 ]

Sanjay Chaudhuri and Gui Liu Tan — On qualitative comparison of partial regression coefficients for Gaussian graphical Markov models [ MR 2730745 ]

María Angélica Cueto, Jason Morton and Bernd Sturmfels — Geometry of the restricted Boltzmann machine [ MR 2730746 ]

Mathias Drton and Han Xiao — Smoothness of Gaussian conditional independence models [ MR 2730747 ]

Werner Ehm — Projections on invariant subspaces [ MR 2730748 ]

Steven N. Evans — A zeroone law for linear transformations of Lévy noise [ MR 2730749 ]

Hisayuki Hara and Akimichi Takemura — Connecting tables with zeroone entries by a subset of a Markov basis [ MR 2730750 ]

Kshitij Khare and Bala Rajaratnam — Covariance trees and Wishart distributions on cones [ MR 2730751 ]

Paul Kidwell and Guy Lebanon — A kernel smoothing approach to censored preference data [ MR 2730752 ]

M. Sofia Massa and Steffen L. Lauritzen — Combining statistical models [ MR 2730753 ]

Sonja Petrović, Alessandro Rinaldo and Stephen E. Fienberg — Algebraic statistics for a directed random graph model with reciprocation [ MR 2730754 ]

Giovanni Pistone and Maria Piera Rogantin — Regular fractions and indicator polynomials [ MR 2730755 ]

Marlos A. G. Viana — Dihedral Fourier analysis [ MR 2730756 ]

Tatjana von Rosen and Dietrich von Rosen — On a class of singular nonsymmetric matrices with nonnegative integer spectra [ MR 2730757 ]

A. Saeid Yasamin — Some hypothesis tests for Wishart models on symmetric cones [ MR 2730758 ]


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This volume is based on lectures presented at the AMS Special Session on Algebraic Methods in Statistics and Probability—held March 2729, 2009, at the University of Illinois at UrbanaChampaign—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 diagonaleffect in twoway 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 subdeterminants covariance matrices, connectivity of binary tables, kernel smoothing methods for partially ranked data, Fourier analysis over the dihedral groups, properties of square nonsymmetric matrices, and Wishart distributions over symmetric cones.
In probability, this volume includes new results related to discretetime semi Markov processes, weak convergence of convolution products in semigroups, Markov bases for directed random graph models, functional analysis in Hardy spaces, and the HewittSavage zeroone law.
Graduate students and research mathematicians interested in applied mathematics, statistics, probability, and algebra.

Articles

Steen A. Andersson and Thomas Klein — Kiefercomplete classes of designs for cubic mixture models [ MR 2730736 ]

Vlad Stefan Barbu and Nikolaos Limnios — Some algebraic methods in semiMarkov chains [ MR 2730737 ]

Ronald A. Bates, Hugo MaruriAguilar, Eva Riccomagno, Rainer Schwabe and Henry P. Wynn — Selfavoiding generating sequences for Fourier lattice designs [ MR 2730738 ]

Frédéric Bertrand — Weakly invariant designs, rotatable designs and polynomial designs [ MR 2730739 ]

Cristiano Bocci, Enrico Carlini and Fabio Rapallo — Geometry of diagonaleffect models for contingency tables [ MR 2730740 ]

Peter Bubenik, Gunnar Carlsson, Peter T. Kim and ZhiMing Luo — Statistical topology via Morse theory persistence and nonparametric estimation [ MR 2730741 ]

Gregory Budzban and Göran Högnäs — Convolution products of probability measures on a compact semigroup with applications to random measures [ MR 2730742 ]

Santanu Chakraborty and Arunava Mukherjea — Completely simple semigroups of real $d\times d$ matrices and recurrent random walks [ MR 2730743 ]

WanYing Chang, Rameshwar D. Gupta and Donald St. P. Richards — Structural properties of the generalized Dirichlet distributions [ MR 2730744 ]

Sanjay Chaudhuri and Gui Liu Tan — On qualitative comparison of partial regression coefficients for Gaussian graphical Markov models [ MR 2730745 ]

María Angélica Cueto, Jason Morton and Bernd Sturmfels — Geometry of the restricted Boltzmann machine [ MR 2730746 ]

Mathias Drton and Han Xiao — Smoothness of Gaussian conditional independence models [ MR 2730747 ]

Werner Ehm — Projections on invariant subspaces [ MR 2730748 ]

Steven N. Evans — A zeroone law for linear transformations of Lévy noise [ MR 2730749 ]

Hisayuki Hara and Akimichi Takemura — Connecting tables with zeroone entries by a subset of a Markov basis [ MR 2730750 ]

Kshitij Khare and Bala Rajaratnam — Covariance trees and Wishart distributions on cones [ MR 2730751 ]

Paul Kidwell and Guy Lebanon — A kernel smoothing approach to censored preference data [ MR 2730752 ]

M. Sofia Massa and Steffen L. Lauritzen — Combining statistical models [ MR 2730753 ]

Sonja Petrović, Alessandro Rinaldo and Stephen E. Fienberg — Algebraic statistics for a directed random graph model with reciprocation [ MR 2730754 ]

Giovanni Pistone and Maria Piera Rogantin — Regular fractions and indicator polynomials [ MR 2730755 ]

Marlos A. G. Viana — Dihedral Fourier analysis [ MR 2730756 ]

Tatjana von Rosen and Dietrich von Rosen — On a class of singular nonsymmetric matrices with nonnegative integer spectra [ MR 2730757 ]

A. Saeid Yasamin — Some hypothesis tests for Wishart models on symmetric cones [ MR 2730758 ]