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Algebraic Statistics: Computational Commutative Algebra in Statistics (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) - Giovanni Pistone, Eva Riccomagno, Henry P. Wynn
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Algebraic Statistics: Computational Commutative Algebra in Statistics (Chapman & Hall/CRC Monographs on Statistics & Applied Probability) - gebunden oder broschiert

ISBN: 1584882042

[SR: 2725808], Hardcover, [EAN: 9781584882046], Chapman and Hall/CRC, Chapman and Hall/CRC, Book, [PU: Chapman and Hall/CRC], Chapman and Hall/CRC, Written by three acknowledged experts in a new and rapidly expanding a rea, Algebraic Statistics explores the application of symbolic computa tion and Grobner Bases to experimental design, discrete probability, a nd statistics. This field is an outgr, 270767, Medical & Healthcare Practitioners, 270768, Ancillary Services, 270792, Basic Medical Science, 276871, Encyclopaedias, 270842, Internal Medicine, 270893, Nursing, 270906, Other Branches of Medicine, 270952, Surgery, 74, Health, Family & Lifestyle, 1025612, Subjects, 266239, Books, 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278385, Probability & Statistics, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570878, Statistics & Probability, 570874, Applied Mathematics, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books, 496724, Press & Journalism, 496718, Media & Communication Industries, 275700, Communication Studies, 276411, Social Sciences, 60, Society, Politics & Philosophy, 1025612, Subjects, 266239, Books

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Algebraic Statistics
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ISBN: 9781584882046

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Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Grobner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. It begins with an introduction to Grobner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability and two level factorial designs. The work paves the way, in the last two chapters, for the application of computer algebra to discrete probability and statistical modelling through the important concept of an algebraic statistical model. As the first book on the subject, Algebraic Statistics presents many opportunities for spin-off research and applications and should become a landmark work welcomed by both the statistical community and its relatives in mathematics and computer science. Books, Science and Geography~~Mathematics~~Algebra, Algebraic Statistics~~Book~~9781584882046~~Giovanni Pistone, Henry P. Wynn, Eva Riccomagno, , , , , , , , , ,

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Pistone, Giovanni; Riccomagno, Eva; Wynn, Henry P.:
Algebraic Statistics - neues Buch

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INTRODUCTION History and Motivation Overview Computer Algebra Summary ALGEBRAIC MODELS Models Polynomials and Polynomial Ideals Term-Orderings Division Algorithm All Ideals Are Finitely Generated Varieties and Equations Grbner Bases Properties of Grbner Basis Elimination Theory Polynomial Functions and Quotients by Ideals Hilbert Function Further Topics THE DIRECT THEORY Designs and Design Ideals Computing the Grbner basis of a design Operations with Designs Examples Span of a Design Models and Identifiability; Quotients Examples The Fan of an Experimental Design Subsets and Sequential Algorithms Regression Analysis Other Topics TWO-LEVEL DESIGNS. APPLICATION IN LOGIC AND RELIABILITY The binary case: Boolean Representations Reliability: Coherent Systems are Minimal Fan Designs Two Level Factorial Design: Contrasts and Orthogonality PROBABILITY AND STATISTICS Random Variables on a Finite Support Moments Probability Algebraic Representation of Exponentials Generating Functions Generating Functions and Exponential Models Examples and Further Applications Statistical Modelling Likelihoods and Sufficient Statistics A Ring of Random Variables Score Function and Information Mathematics Mathematics eBook, CRC Press

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Written by pioneers in this exciting new field, Algebraic Statistics introduces the application of polynomial algebra to experimental design, discrete probability, and statistics.It begins with an introduction to Gröbner bases and a thorough description of their applications to experimental design. A special chapter covers the binary case with new application to coherent systems in reliability and two level factorial designs. The work paves the way, in the last two chapters, for the application of computer algebra to discrete probability and statistical modelling through the important concept of an algebraic statistical model.As the first book on the subject, Algebraic Statistics presents many opportunities for spin-off research and applications and should become a landmark work welcomed by both the statistical community and its relatives in mathematics and computer science. Giovanni Pistone, Eva Riccomagno, Henry P. Wynn, Books, Science and Nature, Mathematics, Statistics, Algebraic Statistics: Computational Commutative Algebra in Statistics Books>Science and Nature>Mathematics>Statistics, Crc Press Llc

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Hardback, [PU: Taylor & Francis Inc], Introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. This book offers an introduction to Grobner bases and a description of their applications to experimental design., Probability & Statistics

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Algebraic Statistics: Computational Commutative Algebra in Statistics
Autor:

Pistone, Giovanni; Riccomagno, Eva; Wynn, Henry P.

Titel:

Algebraic Statistics: Computational Commutative Algebra in Statistics

ISBN-Nummer:

9781584882046

Written by pioneers in this exciting new field, "Algebraic Statistics" introduces the application of polynomial algebra to experimental design, discrete probability, and statistics. (Mathematics)

Detailangaben zum Buch - Algebraic Statistics: Computational Commutative Algebra in Statistics


EAN (ISBN-13): 9781584882046
ISBN (ISBN-10): 1584882042
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: CHAPMAN & HALL
160 Seiten
Gewicht: 0,431 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 24.05.2007 19:30:32
Buch zuletzt gefunden am 11.11.2016 17:49:31
ISBN/EAN: 9781584882046

ISBN - alternative Schreibweisen:
1-58488-204-2, 978-1-58488-204-6

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