Algebraic Statistics Computational Commutative Algebra in Statistics Chapman & Hall/CRC Monographs on Statistics and Applied Probability Series
Auteurs : Pistone Giovanni, Riccomagno Eva, Wynn Henry P.
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.
Date de parution : 12-2000
Ouvrage de 176 p.
15.6x23.4 cm
Thèmes d’Algebraic Statistics :
Mots-clés :
Toric Ideals; grbner; X1X2X3X4 X1X2X3X4 X1X2X3X4 X1X2X3X4 X1X2X3X4; basis; Hilbert Function; vector; Design D2; space; Buchberger Algorithm; varieties; Vector Space Basis; quotient; Polynomial Interpolator; x1x2x3x4; Algebraic Geometry; system; Sample Space; polynomial; Lexicographic Term Ordering; equations; Quotient Space; Polynomial Equations; Conditional Expectation; Monomial Ideal; Full Factorial Design; Polynomial Ideal; Indicator Function; Division Algorithm; Algebraically Closed; Dummy Variables; Minimal Fan; Fractional Factorial Design; Maximum Likelihood Equations; Indeterminates X1; Design Ideal
