Affiliations: [a] Department of Statistics, Diponegoro University, Semarang, Indonesia | [b] Department of Mathematics, Gadjah Mada University, Yogyakarta, Indonesia
Correspondence:
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Corresponding author: Tatik Widiharih, Department of Statistics, Diponegoro University, Semarang, Indonesia. E-mail:[email protected]
Abstract: Locally D-optimal designs for modified exponential models with three parameters and homoscedastic error are investigated. D-optimal criteria is based on Equivalence Theorem of Kiefer Wolfowitz [19]. Determination whether the design that meets the specified model is minimally supported design is based on Theorem 1 of Li and Majumdar [21] which examines the behavior of the standardized variance function in a vertical neighborhood of zero. Tchebychev system and their properties plays a critical role on it. The results show that the designs are minimally supported and the design points are interior points of the design region in the interval [0, b], where b is selected such that the curve is relatively constant and closed to 0. At several design regions, which are the subsets of interval [0, b], design points have a specific pattern.
