Strongly harmonizing operators and strongly harmonizable approximations of continuous random fields on LCA groups
First we introduce a family of strongly harmonizing operators which smooth every suitably weighted continuous random field on an LCA group G into a strongly harmonizable one. Then, by means of these operators, we prove that the set of strongly harmonizable fields whose support is compact and which admit a spectral stochastic density is dense in the set of continuous random fields on G endowed with the compact convergence topology (). Finally, new sequential approximation properties of such harmonizable fields are derived when () is metrizable (e.g. G=, k or ).
Year of publication: |
1988
|
---|---|
Authors: | Dehay, D. ; Moché, R. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 29.1988, 1, p. 129-139
|
Publisher: |
Elsevier |
Keywords: | continuous random fields harmonizable random fields LCA groups spectral stochastic density approximation smoothing |
Saved in:
Online Resource
Saved in favorites
Similar items by person
-
Strongly harmonizable approximations of bounded continuous random fields
Dehay, D., (1986)
-
Empirical determination of the frequencies of an almost periodic time series
Dehay, D., (2013)
-
Testing stationarity for stock market data
Dehay, D., (1996)
- More ...