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Comparison theorems on moduli of continuity

✍ Scribed by G.A. Anastassiou


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
250 KB
Volume
30
Category
Article
ISSN
0898-1221

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πŸ“œ SIMILAR VOLUMES


Inequalities for local moduli of continu
✍ G.A. Anastassiou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 213 KB

Some comparison results are presented here for the first and second local moduli of continuity of a continuously differentiable function and its higher order derivatives. The multivariate case is also studied. ~

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The asymptotic behaviour of the minimax risk can be used as a measure of how 'hard' an estimation problem is. We relate the asymptotic behaviour of this quantity to an appropriate modulus of continuity, using elementary ideas and techniques only.

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