D-optimal Design for Polynomial Regression: Choice of Degree and Robustness. G. Antille

D-optimal Design for Polynomial Regression: Choice of Degree and Robustness

Год выпуска: 2007

Автор произведения: G. Antille

Серия: Прикладная эконометрика. Научные статьи

Жанр: Математика

Издательство: НОУ «МФПУ «Синергия»

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In this paper we show that for the D-optimal design, departures from the design are much less important than a departure from the model. As a consequence, we propose, based on D-optimality, a rule for choosing the regression degree. We also study different types of departures from the model to define a new class of D-optimal designs, which is robust and more efficient than the uniform one.