Average linear approximations for smooth functions

Andrea Pallini
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Andrea Pallini: Dipartimento di Statistica e Matematica Applicata all’Economia Università di Pisa

Statistica, 2005, vol. 65, issue 2, 271-292

Abstract: Average linear approximations for smooth functions using empirical and Gaussian probabilities are introduced. The convergence of these approximations is shown to be uniform, in the sense of the Weierstrass approximation theorem. Average linear approximations with prearranged error functions are finally studied.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:65:y:2005:i:2:p:271-292

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