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.
General
| Imprint: |
Springer
|
| Country of origin: |
Netherlands |
| Series: |
Ettore Majorana International Science Series, 1 |
| Release date: |
November 2013 |
| First published: |
1980 |
| Authors: |
S. Silvey
|
| Dimensions: |
216 x 140 x 5mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
86 |
| Edition: |
Softcover reprint of the original 1st ed. 1980 |
| ISBN-13: |
978-9400959149 |
| Categories: |
Books >
Reference & Interdisciplinary >
Interdisciplinary studies >
General
Promotions
|
| LSN: |
9400959141 |
| Barcode: |
9789400959149 |
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