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OverviewThe subject of the book is a functional theory of optimal designs elaborated by the author during the last two decades. This theory relates to points and weight of optimal designs considered as functions of some values. For linear models these values are metric characteristics of the set of admissible experimental conditions, for example, the bounds of a segment. For nonlinear models they are true values of the parameter to be estimated. Particularly locally D- optimal designs for exponential regression as an important example of nonlinear models and E-optimal designs for polynomial regression on arbitrary segments will be fully studied. Full Product DetailsAuthor: Viatcheslav B. MelasPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: 2006 ed. Volume: 184 Dimensions: Width: 14.80cm , Height: 1.90cm , Length: 21.00cm Weight: 1.010kg ISBN: 9780387987415ISBN 10: 038798741 Pages: 338 Publication Date: 08 December 2005 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsFundamentals of the Optimal Experimental Design.- The Functional Approach.- Polynomial Models.- Trigonometrical Models.- D-Optimal Designs for Rational Models.- D-Optimal Designs for Exponential Models.- E- and c-Optimal Designs.- The Monod Model.ReviewsFrom the reviews: This monograph is a welcome addition to the statistical literature on optimal experimental designs. ... This will be a useful reference book for researchers in this area. (Damaraju Raghavarao, Mathematical Reviews, Issue 2006 k) The material presented is at a sophisticated mathematical level, with a strong emphasis on the construction to why these strategies create designs that are desirable for practical implementation. The unified approach helps consolidate the individual pieces that the author has published previously, and provides greater insights into the applicability of the methods. (Christine M. Anderson-Cook, Journal of the American Statistical Association, Vol. 102, No. 477, 2007) From the reviews: <p> This monograph is a welcome addition to the statistical literature on optimal experimental designs. a ] This will be a useful reference book for researchers in this area. (Damaraju Raghavarao, Mathematical Reviews, Issue 2006 k) <p> The material presented is at a sophisticated mathematical level, with a strong emphasis on the construction to why these strategies create designs that are desirable for practical implementation. The unified approach helps consolidate the individual pieces that the author has published previously, and provides greater insights into the applicability of the methods. (Christine M. Anderson-Cook, Journal of the American Statistical Association, Vol. 102, No. 477, 2007) From the reviews: This monograph is a welcome addition to the statistical literature on optimal experimental designs. ... This will be a useful reference book for researchers in this area. (Damaraju Raghavarao, Mathematical Reviews, Issue 2006 k) The material presented is at a sophisticated mathematical level, with a strong emphasis on the construction to why these strategies create designs that are desirable for practical implementation. The unified approach helps consolidate the individual pieces that the author has published previously, and provides greater insights into the applicability of the methods. (Christine M. Anderson-Cook, Journal of the American Statistical Association, Vol. 102, No. 477, 2007) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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