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Scanning Brownian Processes
- Source :
- Advances in Applied Probability; June 1997, Vol. 29 Issue: 2 p295-326, 32p
- Publication Year :
- 1997
-
Abstract
- The ‘scanning process' Z(t), t ? Rkof the title is a Gaussian random field obtained by associating with Z(t)the value of a set-indexed Brownian motion on the translate t+ A0of some ‘scanning set' A0. We study the basic properties of the random field Zrelating, for example, its continuity and other sample path properties to the geometrical properties of A0. We ask if the set A0determines the scanning process, and investigate when, and how, it is possible to recover the structure of A0from realisations of the sample paths of the random field Z.
Details
- Language :
- English
- ISSN :
- 00018678 and 14756064
- Volume :
- 29
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Advances in Applied Probability
- Publication Type :
- Periodical
- Accession number :
- ejs40670138
- Full Text :
- https://doi.org/10.1017/S0001867800028007