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Algebraic statistics information


Algebraic statistics is the use of algebra to advance statistics. Algebra has been useful for experimental design, parameter estimation, and hypothesis testing.

Traditionally, algebraic statistics has been associated with the design of experiments and multivariate analysis (especially time series). In recent years, the term "algebraic statistics" has been sometimes restricted, sometimes being used to label the use of algebraic geometry and commutative algebra in statistics.

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Algebraic statistics

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Algebraic statistics is the use of algebra to advance statistics. Algebra has been useful for experimental design, parameter estimation, and hypothesis...

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Algebraic geometry

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Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

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Algebraic expression

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In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction...

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GeoGebra

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GeoGebra (a portmanteau of geometry and algebra) is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching...

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Mathematical statistics

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Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical...

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List of statistics articles

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data Aggregate pattern Akaike information criterion Algebra of random variables Algebraic statistics Algorithmic inference Algorithms for calculating variance...

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Boolean algebra

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connection between his algebra and logic was later put on firm ground in the setting of algebraic logic, which also studies the algebraic systems of many other...

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Statistics

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Mathematical statistics is the application of mathematics to statistics. Mathematical techniques used for this include mathematical analysis, linear algebra, stochastic...

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Business mathematics

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arithmetic, elementary algebra, statistics and probability. For some management problems, more advanced mathematics - calculus, matrix algebra, and linear programming...

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Abstract algebra

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mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings...

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Bioinformatics

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Press, 2005. ISBN 0-262-12280-4 Pachter, Lior and Sturmfels, Bernd. "Algebraic Statistics for Computational Biology" Cambridge University Press, 2005. ISBN 0-521-85700-7...

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Glossary of areas of mathematics

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Fundamentally, it studies algebraic varieties. Algebraic graph theory a branch of graph theory in which methods are taken from algebra and employed to problems...

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Operator algebra

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operator algebras are often phrased in algebraic terms, while the techniques used are often highly analytic. Although the study of operator algebras is usually...

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Algebra of random variables

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The algebra of random variables in statistics, provides rules for the symbolic manipulation of random variables, while avoiding delving too deeply into...

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Clifford algebra

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Galois cohomology of algebraic groups, the spinor norm is a connecting homomorphism on cohomology. Writing μ2 for the algebraic group of square roots...

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Sumio Watanabe

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Ichimura Prize Presentation". Algebraic Geometrical Method in Singular Statistical Estimation. Presentation at Algebraic Statistics Seminar, MSRI, December...

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Elementary algebra

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expressed as algebraic equations. In mathematics, a basic algebraic operation is any one of the common operations of elementary algebra, which include...

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History of algebra

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considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property). This article...

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Arithmetic geometry

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abstract development of algebraic geometry. Over finite fields, étale cohomology provides topological invariants associated to algebraic varieties. p-adic Hodge...

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Mixture model

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et al. (2015). "Moment varieties of Gaussian mixtures". Journal of Algebraic Statistics. 7. arXiv:1510.04654. Bibcode:2015arXiv151004654A. doi:10.18409/jas...

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Coding theory

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needed] The term algebraic coding theory denotes the sub-field of coding theory where the properties of codes are expressed in algebraic terms and then...

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List of women in statistics

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Bayesian statistics of longitudinal data and applications to health Aleksandra Slavković, American expert on statistical disclosure control, algebraic statistics...

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Linear algebra

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tools for the analysis of fluid dynamics problems. For instance, linear algebraic techniques are used to solve systems of differential equations that describe...

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Poisson algebra

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In mathematics, a Poisson algebra is an associative algebra together with a Lie bracket that also satisfies Leibniz's law; that is, the bracket is also...

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