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...
Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors
In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance - covariance matrix of errors under the restriction k₁ + k₂ < p, where k₁ and k₂ represent the number of objects placed on the right and left pans, respectively. We want all variances of estimated measurments to be equal and attaining their lower bound. We give a necessary and sufficient condition under which this lower bound is attained...
Optimum designs of experiments for uncorrelated observations on fields
Optimum experimental designs with a lack of a priori information. II. Designs for the estimation of the whole response function
Optimum experimental designs with a lack of a priori information. I. Designs for the estimation of a finite-dimensional set of functionals
Orthogonal Main Effect Plans for Two and Three Factors in Small Blocks.