scientific article; zbMATH DE number 1560708

zbMath0960.62003MaRDI QIDQ4527384

Eva Riccomagno, Henry P. Wynn, Giovanni Pistone

Publication date: 5 February 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Design of statistical experiments (62K99) Symbolic computation and algebraic computation (68W30) Foundations and philosophical topics in statistics (62A01) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

Bayesian networks for discrete multivariate data: An algebraic approach to inference, Maximum likelihood estimation for incomplete multinomial data via the weaver algorithm, Monomial ideals and the Scarf complex for coherent systems in reliability theory., Ideals of adjacent minors, Staged tree models with toric structure, Polynomial designs. II : Some existence results of exact rotatable spherical designs, Markov bases and subbases for bounded contingency tables, Three centuries of categorical data analysis: Log-linear models and maximum likelihood estima\-tion, Connections between the resolutions of general two-level factorial designs, Classification of three-word indicator functions of two-level factorial designs, Blind algebraic identification of communication channels: symbolic solution algorithms, Vanishing configurations in network dynamics with asynchronous updates, Degenerations of real irrational toric varieties, Models, coproducts and exchangeability: notes on states on Baire functions, Algebraic Markov Bases and MCMC for Two‐Way Contingency Tables, Use of primary decomposition of polynomial ideals arising from indicator functions to enumerate orthogonal fractions, Editorial: A new beginning, The neural ring: an algebraic tool for analyzing the intrinsic structure of neural codes, Alexander duality in experimental designs, Algebraic factor analysis: tetrads, pentads and beyond, Betti numbers of polynomial hierarchical models for experimental designs, Coarse-grained entanglement classification through orthogonal arrays, On maximum entropy and minimum KL-divergence optimization by Gröbner basis methods, A characterization of saturated designs for factorial experiments, De Finetti's coherence and exchangeability in infinitary logic, Markov chain Monte Carlo methods for the regular two-level fractional factorial designs and cut ideals, The algebra of reversible Markov chains, The algebra of interpolatory cubature formulæ for generic nodes, Sparse polynomial prediction, A class of statistical models to weaken independence in two-way contingency tables, Compression schemes for concept classes induced by three types of discrete undirected graphical models, Syzygies for Metropolis base chains, Confounding revisited with commutative computational algebra, Indicator function and its application in two-level factorial designs, On decomposable semigroups and applications., Equivalence classes of staged trees, Primary Decompositions, Conditional tests on basins of attraction with finite fields, Optimal design for smooth supersaturated models, 3-dimensional sundials, Picture of all solutions of successive 2-block maxbet problems, An algebraic view of bacterial genome evolution, Indispensable monomials of toric ideals and Markov bases, Algebraic geometry of Bayesian networks, Resultants in genetic linkage analysis, Markov bases and structural zeros, Cumulant varieties, Discrete Gaussian Distributions via Theta Functions, Information Geometry of the Probability Simplex: A Short Course, Algebraic statistics of level codings for fractional factorial designs, Algebraic solutions to the connectivity problem for \(m\)-way layouts: Interaction-contrast ali\-asing, Polynomial designs. I: Polynomial characterizations of common properties of a design, Indicator function and complex coding for mixed fractional factorial designs, Toric statistical models: parametric and binomial representations, A comparison between the Gröbner bases approach and hidden projection properties in factorial designs, The algebro-geometric study of range maps, An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint, Asymmetry models for square contingency tables: exact tests via algebraic statistics, 2-level fractional factorial designs which are the union of non trivial regular designs, The Algebraic Method in Quadrature for Uncertainty Quantification, Geometric isomorphism and minimum aberration for factorial designs with quantitative factors, An Algebraic Implicitization and Specialization of Minimum KL-Divergence Models, \(\kappa \)-exponential models from the geometrical viewpoint, Algebraic exact inference for rater agreement models, Efficient high-precision matrix algebra on parallel architectures for nonlinear combinatorial optimization, On the toric algebra of graphical models, Discovery of statistical equivalence classes using computer algebra, Computational methods for asynchronous basins, Equations defining probability tree models, Rotatable designs and \(\mathcal G\)-weakly invariant designs, Finite space Kantorovich problem with an MCMC of table moves, The Markov chain Monte Carlo revolution, Sequential importance sampling of binary sequences, Smooth supersaturated models, Bowker's test for symmetry and modifications within the algebraic framework, Gröbner Basis Methods in Mixture Experiments and Generalisations, Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors, Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics, Two-factor saturated designs: cycles, Gini index, and state polytopes, Hilbert bases for orthogonal arrays, Two polynomial representations of experimental design, Markov chain Monte Carlo tests for designed experiments, Circuits for robust designs, A geometric characterization of sensitivity analysis in monomial models, Outliers and Patterns of Outliers in Contingency Tables with Algebraic Statistics, Polynomials for classification trees and applications, Exact tests for singular network data