Spelling suggestions: "subject:"0ptimal designs (dtatistics)"" "subject:"0ptimal designs (estatistics)""
1 
Homotopy methods for solving the optimal projection equations for the reduced order model problem /Zigic, Dragan, January 1991 (has links)
Thesis (M.S.)Virginia Polytechnic Institute and State University, 1991. / Vita. Abstract. Includes bibliographical references (leaves 6769). Also available via the Internet.

2 
Construction of smooth orthogonal wavelets with compact support in R[superscript d]Belogay, Eugene Alexandrov 05 1900 (has links)
No description available.

3 
Optimal designs in regression experiments.January 1996 (has links)
by KoonSun Wong. / Thesis (M.Phil.)Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 4041). / Chapter Chapter 1  Introduction and Review  p.1 / Chapter 1.1  Introduction  p.1 / Chapter 1.2  Preliminaries  p.4 / Chapter 1.3  A brief review of Aoptimal designs  p.8 / Chapter Chapter 2  Doptimal Designs  p.13 / Chapter 2.1  A Doptimal design problem  p.13 / Chapter 2.2  A theorem for Doptimal designs  p.14 / Chapter Chapter 3  Eoptimal Designs  p.18 / Chapter 3.1  An Eoptimal design problem  p.18 / Chapter 3.2  A theorem for Eoptimal designs  p.19 / Chapter Chapter 4  An alternative method for computing CL vectors  p.31 / Chapter Chapter 5  Conclusions  p.36 / References  p.40

4 
Optimal scheduling of diseasescreening examinations based on detection delayAllen, Scott Brian 05 1900 (has links)
No description available.

5 
Bayesian optimal design for changepoint problemsAtherton, Juli. January 2007 (has links)
We consider optimal design for changepoint problems with particular attention paid to situations where the only possible change is in the mean. Optimal design for changepoint problems has only been addressed in an unpublished doctoral thesis, and in only one journal article, which was in a frequentist setting. The simplest situation we consider is that of a stochastic process that may undergo a, change at an unknown instant in some interval. The experimenter can take n measurements and is faced with one or more of the following optimal design problems: Where should these n observations be taken in order to best test for a change somewhere in the interval? Where should the observations be taken in order to best test for a change in a specified subinterval? Assuming that a change will take place, where should the observations be taken so that that one may best estimate the beforechange mean as well as the afterchange mean? We take a Bayesian approach, with a risk based on squared error loss, as a design criterion function for estimation, and a risk based on generalized 01 loss, for testing. We also use the Spezzaferri design criterion function for model discrimination, as an alternative criterion function for testing. By insisting that all observations are at least a minimum distance apart in order to ensure rough independence, we find the optimal design for all three problems. We ascertain the optimal designs by writing the design criterion functions as functions of the design measure, rather than of the designs themselves. We then use the geometric form of the design measure space and the concavity of the criterion function to find the optimal design measure. There is a straightforward correspondence between the set of design measures and the set of designs. Our approach is similar in spirit, although rather different in detail, from that introduced by Kiefer. In addition, we consider design for estimation of the changepoint itself, and optimal designs for the multipath changepoint problem. We demonstrate why the former problem most likely has a priordependent solution while the latter problems, in their most general settings, are complicated by the lack of concavity of the design criterion function. / Nous considérons, dans cette dissertation, les plans d'expérience bayésiens optimauxpour les problèmes de point de rupture avec changement d'espérance. Un cas de pointde rupture avec changement d'espérance à une seule trajectoire se présente lorsqu'uneséquence de données est prélevée le long d'un axe temporelle (ou son équivalent) etque leur espérance change de valeur. Ce changement, s'il survient, se produit à unendroit sur l'axe inconnu de l'expérimentateur. Cet endroit est appelé "point derupture". Le fait que la position du point de rupture soit inconnue rend les tests etl'inférence difficiles dans les situations de point de rupture à une seule trajectoire.

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Optimal sampling design and parameter estimation of Gaussian random fields /Zhu, Zhengyuan, January 2002 (has links)
Thesis (Ph. D.)University of Chicago, Dept. of Statistics, June 2002. / Includes bibliographical references (p. 123132) Also available on the Internet.

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Bayesian optimal design for changepoint problemsAtherton, Juli. January 2007 (has links)
No description available.

8 
Homotopy methods for solving the optimal projection equations for the reduced order model problemZigic, Dragan 24 November 2009 (has links)
The optimal projection approach to solving the reduced order model problem produces two coupled, highly nonlinear matrix equations with rank conditions as constraints. Due to the resemblance of these equations to standard matrix Lyapunov equations, they are called modified Lyapunov equations. The proposed algorithms utilize probabilityone homotopy theory as the main tool. It is shown that there is a family of systems (the homotopy) that make a continuous transformation from some initial system to the final system. With a carefully chosen initial problem a theorem guarantees that all the systems along the homotopy path will be asymptotically stable, controllable and observable.
One method, which solves the equations in their original form, requires a decomposition of the projection matrix using the Drazin inverse of a matrix. It is shown that the appropriate inverse is a differentiable function. An effective algorithm for computing the derivative of the projection matrix that involves solving a set of Sylvester equations is given.
Another class of methods considers the equations in a modified form, using a decomposition of the pseudogramians based on a contragredient transformation. Some freedom is left in making an exact match between the number of equations and the number of unknowns, thus effectively generating a family of methods. Three strategies are considered for balancing the number of equations and unknowns. This approach proved to be very successful on a number of examples. The tests have shown that using the ‘best’ method practically always leads to a solution. / Master of Science

9 
Optimal experimental designs for hyperparameter estimation in hierarchical linear modelsLiu, Qing, January 2006 (has links)
Thesis (Ph. D.)Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 98101).

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The sensitivity equation method for optimal designBorggaard, Jeffrey T. 07 June 2006 (has links)
In this work, we introduce the Sensitivity Equation Method (SEM) as a method for approximately solving infinite dimensional optimal design problems. The SEM couples a trustregion/quasiNewton optimization algorithm with gradient information provided by apprOXimately solving the sensitivity equation for (design) sensitivities.
The sensitivity equation is (in the problems considered here) a partial differential equation (POE) which describes the influence of a design parameter on the state of the system. It is shown that obtaining design sensitivities from the sensitivity equation has advantages over finite difference and semianalytical methods in that there is no need to remesh or compute mesh sensitivities (even if the domain is parameter dependent), the sensitivity equation is a linear POE for the sensitivities and can be approximated in an efficient manner using the same approximation scheme used to approximate the states.
The applicability of the SEM to shape optimization problems, where the state is described by the Euler equations, is studied in detail. In particular, we prove convergence of the method for a one dimensional test problem. These results are used to speculate on the applicability of the method for more complex problems. Finally. we solve a two dimensional forebody simulator design problem (for use in wind tunnel experiments) using the SEM, which is shown to be a very efficient method for this problem. / Ph. D.

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