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Algebraic methods in statistics and probability : AMS Special Session on Algebraic Methods in Statistics, April 8-9, 2000, University of Notre Dame, Notre Dame, Indiana / Marlos A.G. Viana, Donald St. P. Richards, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- AMS Special Session on Algebraic Methods in Statistics, Corporate Author.
- Conference Name:
- AMS Special Session on Algebraic Methods in Statistics (2000 : University of Notre Dame), issuing body.
- AMS Special Session on Algebraic Methods in Statistics
- Series:
- Contemporary mathematics (American Mathematical Society) ; 287.
- Contemporary mathematics, 0271-4132 ; 287
- Language:
- English
- Subjects (All):
- Mathematical statistics--Congresses.
- Mathematical statistics.
- Probabilities--Congresses.
- Probabilities.
- Algebra--Congresses.
- Algebra.
- Physical Description:
- 1 online resource (354 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2001]
- Language Note:
- English
- Summary:
- The 23 papers report recent developments in using the technique to help clarify the relationship between phenomena and data in a number of natural and social sciences. Among the topics are a coordinate-free approach to multivariate exponential families, some rank-based hypothesis tests for covariance structure and conditional independence, deconvolution density estimation on compact Lie groups, random walks on regular languages and algebraic systems of generating functions, and the extendibility of statistical models. There is no index. c. Book News Inc.
- Contents:
- ""Contents""; ""Preface""; ""Simplicial Inference""; ""A Note on Nyman's Equivalent Formulation of the Riemann Hypothesis""; ""On the Construction of Linear Orthogonal Arrays by Extension""; ""A Coordinate-free Approach to Multivariate Exponential Families""; ""Best Invariant Predictive Distributions""; ""A Family of Probability Densities Related to the Riemann Zeta Function""; ""Local Field U-Statistics""; ""Krawtchouk Matrices from Classical and Quantum Random Walks""; ""Some Rank-based Hypothesis Tests for Covariance Structure and Conditional Independence""
- ""Gaussian Measures as Limits on Irreducible Symmetric Spaces and Cones""""The Covariance Structure of the Multivariate Liouville Distributions""; ""Reduction of Regression Models under Symmetry""; ""Deconvolution Density Estimation on Compact Lie Groups""; ""On Efficiency of Indirect Estimation of Nonparametric Regression Functions""; ""Patterned Matrices Treated via Linear Spaces""; ""Random Walks on Regular Languages and Algebraic Systems of Generating Functions""; ""The Normal Quasi-Wishart Distribution""; ""Rank Score Statistics for Spherical Data""
- ""Graphical Model Search via Essential Graphs""""Computational Commutative Algebra in Discrete Statistics""; ""Maximum Covariance Difference Test for Equality of Two Covariance Matrices""; ""The Covariance Structure of Random Permutation Matrices""; ""The Extendibility of Statistical Models""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7877-8
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