Quadratic Variations along Irregular Subdivisions for Gaussian Processes
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1. | Title | Title of document | Quadratic Variations along Irregular Subdivisions for Gaussian Processes |
2. | Creator | Author's name, affiliation, country | Arnaud Begyn; Laboratoire de statistiques et probabilites, Université Paul Sabatier, Fra |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | estimation, fractional processes, Gaussian processes, generalized quadratic variations, irregular subdivisions, singularity function |
3. | Subject | Subject classification | primary 60F15; 60G15; secondary 60G17; 60G18 |
4. | Description | Abstract | In this paper we deal with second order quadratic variations along general subdivisions for processes with Gaussian increments. These have almost surely a deterministic limit under conditions on the mesh of the subdivisions. This limit depends on the singularity function of the process and on the structure of the subdivisions too. Then we illustrate the results with the example of the time-space deformed fractional Brownian motion and we present some simulations. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2005-07-13 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ejp.ejpecp.org/article/view/245 |
10. | Identifier | Digital Object Identifier | 10.1214/EJP.v10-245 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Journal of Probability; Vol 10 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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