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Algebraic methods in statistics and probability : AMS Special Session on Algebraic Methods and Statistics, April 8-9, 2000, University of Notre Dame, Notre Dame, Indiana /

by AMS Special Session on Algebraic Methods in Statistics (2000 : University of Notre Dame); Viana, Marlos A. G; Richards, Donald St. P.
Material type: materialTypeLabelBookSeries: Contemporary mathematics (American Mathematical Society): v. 287.Publisher: Providence, R.I. : American Mathematical Society, c2001Description: x, 340 p. : ill. ; 26 cm.ISBN: 0821826875 (alk. paper).Subject(s): Mathematical statistics -- Congresses | Probabilities -- Congresses | Algebra -- Congresses
Contents:
Simplicial Inference / John Aitchison -- A Note on Nyman's Equivalent Formulation of the Riemann Hypothesis / Jean-Francois Burnol -- On the Construction of Linear Orthogonal Arrays by Extension / Dominique Collombier and Astrid Jourdan -- A Coordinate-free Approach to Multivariate Exponential Families / Alessandro Di Bucchianico and Daniel E. Loeb -- Best Invariant Predictive Distributions / Morris L. Eaton and William D. Sudderth -- A Family of Probability Densities Related to the Riemann Zeta Function / Werner Ehm -- Local Field U-Statistics / Steven N. Evans -- Krawtchouk Matrices from Classical and Quantum Random Walks / Philip Feinsilver and Jerzy Kocik -- Some Rank-based Hypothesis Tests for Covariance Structure and Conditional Independence / Yonghong Gao and John I. Marden -- Gaussian Measures as Limits on Irreducible Symmetric Spaces and Cones / Piotr Graczyk --
The Covariance Structure of the Multivariate Liouville Distributions / Rameshwar D. Gupta and Donald St. P. Richards -- Reduction of Regression Models under Symmetry / Inge S. Helland -- Deconvolution Density Estimation on Compact Lie Groups / Peter T. Kim and Donald St. P. Richards -- On Efficiency of Indirect Estimation of Nonparametric Regression Functions / Chris A. J. Klaassen, Eun-Joo Lee and Frits H. Ruymgaart -- Patterned Matrices Treated via Linear Spaces / Tonu Kollo and Dietrich von Rosen -- Random Walks on Regular Languages and Algebraic Systems of Generating Functions / Steven P. Lalley -- The Normal Quasi-Wishart Distribution / Gerard Letac and Helene Massam -- Rank Score Statistics for Spherical Data / Teresa Neeman and Ted Chang -- Graphical Model Search via Essential Graphs / Michael D. Perlman -- Computational Commutative Algebra in Discrete Statistics / Giovanni Pistone, Eva Riccomagno and Henry P. Wynn --
Maximum Covariance Difference Test for Equality of Two Covariance Matrices / Akimichi Takemura and Satoshi Kuriki -- The Covariance Structure of Random Permutation Matrices / Marlos A. G. Viana -- The Extendibility of Statistical Models / Ernst Wit and Peter McCullagh.
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Includes bibliographical references.

Simplicial Inference / John Aitchison -- A Note on Nyman's Equivalent Formulation of the Riemann Hypothesis / Jean-Francois Burnol -- On the Construction of Linear Orthogonal Arrays by Extension / Dominique Collombier and Astrid Jourdan -- A Coordinate-free Approach to Multivariate Exponential Families / Alessandro Di Bucchianico and Daniel E. Loeb -- Best Invariant Predictive Distributions / Morris L. Eaton and William D. Sudderth -- A Family of Probability Densities Related to the Riemann Zeta Function / Werner Ehm -- Local Field U-Statistics / Steven N. Evans -- Krawtchouk Matrices from Classical and Quantum Random Walks / Philip Feinsilver and Jerzy Kocik -- Some Rank-based Hypothesis Tests for Covariance Structure and Conditional Independence / Yonghong Gao and John I. Marden -- Gaussian Measures as Limits on Irreducible Symmetric Spaces and Cones / Piotr Graczyk --

The Covariance Structure of the Multivariate Liouville Distributions / Rameshwar D. Gupta and Donald St. P. Richards -- Reduction of Regression Models under Symmetry / Inge S. Helland -- Deconvolution Density Estimation on Compact Lie Groups / Peter T. Kim and Donald St. P. Richards -- On Efficiency of Indirect Estimation of Nonparametric Regression Functions / Chris A. J. Klaassen, Eun-Joo Lee and Frits H. Ruymgaart -- Patterned Matrices Treated via Linear Spaces / Tonu Kollo and Dietrich von Rosen -- Random Walks on Regular Languages and Algebraic Systems of Generating Functions / Steven P. Lalley -- The Normal Quasi-Wishart Distribution / Gerard Letac and Helene Massam -- Rank Score Statistics for Spherical Data / Teresa Neeman and Ted Chang -- Graphical Model Search via Essential Graphs / Michael D. Perlman -- Computational Commutative Algebra in Discrete Statistics / Giovanni Pistone, Eva Riccomagno and Henry P. Wynn --

Maximum Covariance Difference Test for Equality of Two Covariance Matrices / Akimichi Takemura and Satoshi Kuriki -- The Covariance Structure of Random Permutation Matrices / Marlos A. G. Viana -- The Extendibility of Statistical Models / Ernst Wit and Peter McCullagh.

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