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Foundations of optimum experimental design. Transl. from the Slovakian by the author. (English) Zbl 0588.62117

As the title of this book says the attention is focused on the foundations of optimum experimental designs. It is mathematically rigorous and provides a sound basis for understanding all the intricacies of optimal designs. It is an ideal book for a course on the theory of optimal designs or for a researcher willing to understand and contribute in this area.
The seven chapters carry the following headings: I. Introductory remarks about the experiment and its design. II. The regression model and methods of estimation. III. The ordering of designs and the properties of variances of estimates. IV. Optimality criteria in the regression model. V. Iterative computation of optimum designs. VI. Design of experiments in particular cases. VII. The functional model and measurements of physical fields.
As a final note, the contents of this book are meant for those having a mature background in mathematics and statistics.
Reviewer: B.L.Raktoe

MSC:

62K05 Optimal statistical designs
62-02 Research exposition (monographs, survey articles) pertaining to statistics