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  • Hacettepe Journal of Mathematics and Statistics
  • Volume:48 Issue:2
  • DE- and EDP$_{M}$- compound optimality for the information and probability-based criteria

DE- and EDP$_{M}$- compound optimality for the information and probability-based criteria

Authors : W A HASSANEİN, N M KİLANY
Pages : 580-591
View : 43 | Download : 11
Publication Date : 2019-04-01
Article Type : Research Paper
Abstract :Several optimality criteria have been considered in the literature as information-based criteria. The probability- based criteria have been recently proposed for maximizing the probability of a desired outcome. However, designs that are optimal for the information- based criteria may be inadequate for probability- based criteria. This paper introduces the DE- and EDP${}_{M}$ -- optimum designs for multi aims of optimality for Generalized Linear Models insert ignore into journalissuearticles values(GLMs);. An equivalence theorem is proved for both compound criteria. Finally, two numerical examples are given to illustrate the potentiality of the proposed compound criteria.
Keywords : Optimum design, E optimality, D optimality, P optimality, Compound criteria, Generalized linear models

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