Indicator fractional stable motions
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1. | Title | Title of document | Indicator fractional stable motions |
2. | Creator | Author's name, affiliation, country | Paul H Jung; Sogang University |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | fractional Brownian motion; random walk in random scenery; random reward schema; local time fractional stable motion; self-similar process; stable process |
3. | Subject | Subject classification | 60G52; 60G22; 60G18 |
4. | Description | Abstract | Using the framework of random walks in random scenery, Cohen and Samorodnitsky (2006) introduced a family of symmetric $\alpha$-stable motions called local time fractional stable motions. When $\alpha=2$, these processes are precisely fractional Brownian motions with $1/2 < H < 1$. Motivated by random walks in alternating scenery, we find a complementary family of symmetric $\alpha$-stable motions which we call indicator fractional stable motions. These processes are complementary to local time fractional stable motions in that when $\alpha=2$, one gets fractional Brownian motions with $0 < H < 1/2$. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | Research supported in part by Sogang University Research Grant 200910039 |
7. | Date | (YYYY-MM-DD) | 2011-03-27 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/1611 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v16-1611 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 16 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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