Computing the Distribution of the Maximum of Gaussian Random Processes
Christine Cierco-Ayrolles,
Alain Croquette and
Céline Delmas
Additional contact information
Christine Cierco-Ayrolles: Université Paul Sabatier, INRA
Alain Croquette: Université Paul Sabatier
Céline Delmas: INRA
Methodology and Computing in Applied Probability, 2003, vol. 5, issue 4, 427-438
Abstract:
Abstract The aim of this paper is to propose an Splus program to calculate bounds for the distribution of the maximum of a smooth Gaussian process on a fixed interval. We generalize the results given in Azaïs et al. (1999) to the case of the absolute value of the Gaussian process and to the non-homogeneous case. Our method relies on calculations of the first three terms of the Rice's series. Some applications are given to illustrate the method and the performances of the program. The corresponding Splus functions are available at the URL: http://www.lsp.ups-tlse.fr/Cdelmas/software.html.
Keywords: crossings of a level; distribution of the maximum; Gaussian process; Rice's method (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)
Downloads: (external link)
http://link.springer.com/10.1023/A:1026233412905 Abstract (text/html)
Access to the full text of the articles in this series is restricted.
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:spr:metcap:v:5:y:2003:i:4:d:10.1023_a:1026233412905
Ordering information: This journal article can be ordered from
https://www.springer.com/journal/11009
DOI: 10.1023/A:1026233412905
Access Statistics for this article
Methodology and Computing in Applied Probability is currently edited by Joseph Glaz
More articles in Methodology and Computing in Applied Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().