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Written by pioneers in an exciting new field, this book 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 applications to coherent systems in reliability and two-level factorial designs. This work paves the way for discussing the application of computer algebra to discrete probability and statistical modelling via the concept of an algebraic statistical model. As the first book on the subject, Algebraic Statistics promises to become a landmark work.
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