000 01798 a2200253 4500
008 240510b |||||||| |||| 00| 0 eng d
020 _a9781584882046
082 _a519.5 PIS
100 _aPistone, Giovanni
245 _aAlgebraic statistics: computational commutative algebra in statistics
260 _aBoca Raton:
_bChapman & Hall/CRC,
_c2000.
300 _axvii, 160p.:
_bhbk.:
_c24cm
440 _aMonographs on Statistics and Applied Probability 89
520 _aWritten 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. https://www.routledge.com/Algebraic-Statistics-Computational-Commutative-Algebra-in-Statistics/Pistone-Riccomagno-Wynn/p/book/9781584882046
650 _aAlgebra
650 _aComputeralgebra
650 _aExperimental Design
650 _aPolynomials
650 _aMathematics
650 _aStatistical Model
700 _aRiccomagno, Eva
_eCo-author
700 _aWynn, Henry P.
_eCo-author
942 _cTD
_2ddc
999 _c60405
_d60405