A general rice formula, palm measures, and horizontal-window conditioning for random fields

Ulrich Zähle

Stochastic Processes and their Applications, 1984, vol. 17, issue 2, 265-283

Abstract: In the first main result the mean (m-n)-dimensional Hausdorff measure of the set of crossing points of a level y [epsilon] n by an m-dimensional continuous random vector field with values in R n, m[greater-or-equal, slanted]n, is computed. The second one deals with horizontal-window conditional (Palm) distributions for such random fields. For this purpose, a general concept of Palm measures is introduced, which contains both the 'stationary' and the 'nonstationary' one.

Keywords: random; fields; Palm; measures; Rice; formula; horizontal-window; conditioning; random; measures (search for similar items in EconPapers)
Date: 1984
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0304-4149(84)90005-X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:17:y:1984:i:2:p:265-283

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().