Algebraic statistics : computational commutative algebra in statistics
著者
書誌事項
Algebraic statistics : computational commutative algebra in statistics
（Monographs on statistics and applied probability, 89）
Chapman & Hall/CRC, c2001
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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 Groebner 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.
目次
Introduction. Algebraic Models. The Direct Theory. Two-Level Designs. Application in Logic and Reliability. Probability and Statistics.
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