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Construction of some compound criteria via A-optimality
Ist Teil von
Communications in statistics. Theory and methods, 2019-11, Vol.48 (22), p.5559-5570
Ort / Verlag
Philadelphia: Taylor & Francis
Erscheinungsjahr
2019
Quelle
Taylor & Francis
Beschreibungen/Notizen
This paper is devoted to attain multiple objects via proposing two compound optimality criteria constructed with A-optimality criterion. The offered compound criteria are ADP-optimality to seek about an optimal design for minimizing the average variance, having an efficient parameter estimates, likewise, maximizing the probability of a particular event and AKL-optimality that provides an identified balance between model discrimination and minimizing the average variance of the parameter estimates. The equivalence theorems are stated and proved. Finally, a numerical example is applied on probit GLMs to illustrate the results for both compound criteria.