Optimal Design

Name: Optimal Design
Brand: Springer
SKU: 9789400959149
Price: 277.38 RON
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An Introduction to the Theory for Parameter Estimation

Autor: S. Silvey

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Editura: Springer

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Prior to the 1970's a substantial literature had accumulated on the theory of optimal design, partic...

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Autor

S. Silvey

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2013

Pagini

EAN

9789400959149

ISBN

9400959141

Enbook ID

02258110

Editura

Springer

Greutate

136

Dimensiuni

140 x 216 x 6

Descriere completă

Prior to the 1970's a substantial literature had accumulated on the theory of optimal design, particularly of optimal linear regression design. To a certain extent the study of the subject had been piecemeal, different criteria of optimality having been studied separately. Also to a certain extent the topic was regarded as being largely of theoretical interest and as having little value for the practising statistician. However during this decade two significant developments occurred. It was observed that the various different optimality criteria had several mathematical properties in common; and general algorithms for constructing optimal design measures were developed. From the first of these there emerged a general theory of remarkable simplicity and the second at least raised the possibility that the theory would have more practical value. With respect to the second point there does remain a limiting factor as far as designs that are optimal for parameter estimation are concerned, and this is that the theory assumes that the model be collected is known a priori. This of course underlying data to is seldom the case in practice and it often happens that designs which are optimal for parameter estimation allow no possibility of model validation. For this reason the theory of design for parameter estimation may well have to be combined with a theory of model validation before its practical potential is fully realized. Nevertheless discussion in this monograph is limited to the theory of design optimal for parameter estimation.

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Optimal Design

An Introduction to the Theory for Parameter Estimation

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