Algebraic statistics : computational commutative algebra in statistics /: computational commutative algebra in statistics. (©2001)

• Record Type: Book
• Further Information: Note: Giovanni Pistone, Eva Riccomagno, Henry P. Wynn.
• Other Names: Pistone, Giovanni; Riccomagno, Eva; Wynn, Henry P
• Contents: 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; Gröbner Bases; Properties of Gröbner Basis; Elimination Theory; Polynomial Functions and Quotients by Ideals; Hilbert Function; Further Topics; THE DIRECT THEORY; Designs and Design Ideals; Computing the Gröbner 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
• Publisher Details: Boca Raton, Fla : Chapman & Hall/CRC
• Publication Date: 2001
• Copyright Date: 2001
• Extent: 1 online resource (xvii, 160 pages), illustrations
• Subjects: 519.5; Mathematical statistics; Algebra; MATHEMATICS -- Probability & Statistics -- General; Algebra; Mathematical statistics; Electronic books
• Languages: English
• ISBNs: 1420035762; 9781420035766; 9781584882046; 1584882042
• Related ISBNs: 1584882042
• Notes: Note: Includes bibliographical references (pages 155-157) and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.