A Haar-like Construction for the Ornstein Uhlenbeck Process
✍ Scribed by Thibaud Taillefumier; Marcelo O. Magnasco
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 569 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0022-4715
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📜 SIMILAR VOLUMES
Let x(t) be an Ornstein-Uhlenbeck process and y(t) a diffusion process. Formulae are obtained for the characteristic and probability density functions of x(T(y)), where T(y) is the first passage time of y(t) to the boundary y(t) --d, starting from y.
## Abstract This paper deals with optimal designs for Gaussian random fields with constant trend and exponential correlation structure, widely known as the Ornstein–Uhlenbeck process. Assuming the maximum likelihood approach, we study the optimal design problem for the estimation of the trend µ and