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Mixture models based on homogeneous polynomials

✍ Scribed by Norman R. Draper; Friedrich Pukelsheim

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
87 KB
Volume
71
Category
Article
ISSN
0378-3758

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✦ Synopsis

Models for mixtures of ingredients are typically ÿtted by Sche à e's canonical model forms. An alternative representation is discussed which o ers attractive symmetries, compact notation and homogeneous model functions. It is based on the Kronecker algebra of vectors and matrices, used successfully in previous response surface work. These alternative polynomials are contrasted with those of Sche à e, and ideas of synergism and model reduction are connected together in both algebras. Sche à e's 'special cubic' is shown to be sensible in both algebras.

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