We study the one-dimensional representations of even-dimensional Brownian local time in two ways. The first result is obtained by the application of the odddimensional case. The second is led by the plane wave decomposition of the $-function. The Hilbert transform of derivatives of local time is con
Generalized covariances of multi-dimensional Brownian excursion local times
โ Scribed by Guy Louchard; John W. Turner
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 196 KB
- Volume
- 297
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
โฆ Synopsis
Expressions for the generalized covariances of multi-dimensional Brownian excursion local times are derived from corresponding densities transforms. Typical applications are moments of the cost of structures such as M/G/1 queue, Random trees, Markov stack or priority queue in Knuth's model. Brownian excursion area and a result of Biane and Yor are also revisited.
๐ SIMILAR VOLUMES
Based on the fast learning convergence properties of networks with local generalisation (compared to multi-layered networks with global learning interferrence and possible multi-minima), this paper reviews three locally generalizing neural networks: Radial Basis Functions (RBF), B-Splines (BSPL), an