On the asymptotic Mean Square Error of L1 kernel estimates of smooth functions
✍ Scribed by Hans-Georg Müller
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 392 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
Let a(n) be an arithmetical function satisfying some conditions and write $ n x a(n)=main term+E(x). We obtain an asymptotic formula for a weighted mean square of the error term for some constants \_ 0 and c, by modifying a method that seems due to Titchmarsh. This method utilizes the following too
The arithmetic function r & k (n) counts the number of ways to write a natural number n as the difference of two kth powers (k 2 fixed). The investigation of the asymptotic behaviour of the Dirichlet summatory function of r & k (n) leads in a natural way to a certain error term 2 & k (t). In this ar