On the tractability of the Brownian Bridge algorithm
β Scribed by G. Larcher; G. Leobacher; K. Scheicher
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 266 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0885-064X
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β¦ Synopsis
Recent results in the theory of quasi-Monte Carlo methods have shown that the weighted Koksma-Hlawka inequality gives better estimates for the error of quasi-Monte Carlo algorithms. We present a method for finding good weights for several classes of functions and apply it to certain algorithms using the Brownian Bridge construction, which are important for financial applications.
π SIMILAR VOLUMES
Pemantle, R. and M.D. Penrose, On path integrals for the high-dimensional Brownian bridge, Journal of Computational and Applied Mathematics 44 (1992) 381-390. Let u be a bounded function with bounded support in [w d, d > 3. Let x, y E Rd. Let Z(t) denote the path integral of u along the path of a Br
In this note the distribution for the occupation time of a one-dimensional Brownian bridge process on any Lebesgue measurable set between the initial and ΓΏnal states of the bridge is shown to be invariant under translation and re ection, so long as the translation or re ection also lies between the