Cramèr–Rao bounds for fractional Brownian motions
✍ Scribed by Jean-François Coeurjolly; Jacques Istas
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 157 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
✦ Synopsis
We obtain Cram er-Rao bounds for parameters estimators of fractional Brownian motions. We point out the di erences of behavior whether these processes are standard or not. The key-point of this study relies upon a linear algebra result we prove, exhibiting bounds for elements of inverse of localized matrices.
📜 SIMILAR VOLUMES
We prove some maximal inequalities for fractional Brownian motions. These extend the Burkholder-Davis-Gundy inequalities for fractional Brownian motions. The methods are based on the integral representations of fractional Brownian motions with respect to a certain Gaussian martingale in terms of bet
## Abstract The noise analysis for three‐point decomposition of water and fat was extended to account for the uncertainty in the field map. This generalization leads to a nonlinear estimation problem. The Crámer–Rao bound (CRB) was used to study the variance of the estimates of the magnitude, phase