Optimal and Robust Invariant Designs for Cubic Multiple Regression.
Optimal chemical balance weighing designs for objects
The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical balance weighing design for objects are given. The existence of an optimum chemical balance weighing design for objects implies the existence of an optimum chemical...
Optimal Design for Interacting Blocks with OAVS Incidence.
Optimal Designs for Models with Block-Block Resp. Treatment-Treatment Correlations.
Optimal designs for the estimation of polynomial functionals
Optimal Extrapolation of Derivatives.
Optimal mixed Factorial Resolution III designs
Optimal Regression Designs for Prediction when Prior Knowledge is Available.
Optimal Variance- and Efficiency-Balanced Designs for One-and Two-Way Elimination of Heterogeneity.
Optimale Planung eines Kovarianzanalyse- und eines Intraclass Regressions-Experiments.
Optimale Schichtabgrenzung bei logarithmischer Normalverteilung
Optimale Versuchspläne bei zweifach klassifizierten Beobachtungsmodellen
Optimale Zweifachblockpläne bei Seriell Korrelierten Fehlern.
Optimality and Construction of Some Rectangular Desgins.
Optimality of Balanced Designs for Minimum Norm Quadratic Unbiased Estimation of Variance Components.
Optimality of Block Designs with Variable Block Sizes and Random Block Effects.
Optimálny experiment
Optimisation in space of measures and optimal design
The paper develops an approach to optimal design problems based on application of abstract optimisation principles in the space of measures. Various design criteria and constraints, such as bounded density, fixed barycentre, fixed variance, etc. are treated in a unified manner providing a universal variant of the Kiefer-Wolfowitz theorem and giving a full spectrum of optimality criteria for particular cases. Incorporating the optimal design problems into conventional optimisation framework makes...
Optimisation in space of measures and optimal design
The paper develops an approach to optimal design problems based on application of abstract optimisation principles in the space of measures. Various design criteria and constraints, such as bounded density, fixed barycentre, fixed variance, etc. are treated in a unified manner providing a universal variant of the Kiefer-Wolfowitz theorem and giving a full spectrum of optimality criteria for particular cases. Incorporating the optimal design problems into conventional optimisation framework...
Optimum chemical balance weighing designs under the restriction on weighings
The paper deals with the problem of estimating individual weights of objects, using a chemical balance weighing design under the restriction on the number in which each object is weighed. A lower bound for the variance of each of the estimated weights from this chemical balance weighing design is obtained and a necessary and sufficient condition for this lower bound to be attained is given. The incidence matrix of ternary balanced block design is used to construct optimum chemical balance weighing...