The extended Watson lemma and the asymptotic expansion of the Lp norm
โ Scribed by Shimshon Berkovits
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 390 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider functions f and g which are holomoxphic on closed sectors in 4: where they admit an asymptotic representation at 00 in the form of power series in z-' . We give a simple geometrical condition under which the Hadamard product f \* g of f and g porsemes again an ~y m p totic expansion at 0
The condition \(\max _{1 \leqslant i \leqslant n} X_{i}^{\top} V_{n}{ }^{1} X_{i} \xrightarrow{p} 0\), where \(X_{i}\) are vectors in \(R^{d}\) and \(V_{n}=\sum_{i=1}^{n} X_{i} X_{i}^{\mathrm{\top}}\), is important in the asymptotics of various linear and nonlinear regression models. We call it "qua