A note on global suprema of band-limited spherical random functions
(2015) In Statistics and Probability Letters 96. p.141-148- Abstract
- In this note, we investigate the behaviour of suprema for band-limited spherical random fields. We prove upper and lower bound for the expected values of these suprema, by means of metric entropy arguments and discrete approximations; we then exploit the Borell–TIS inequality to establish almost sure upper and lower bounds for their fluctuations. Band limited functions can be viewed as restrictions on the sphere of random polynomials with increasing degrees, and our results show that fluctuations scale as the square root of the logarithm of these degrees.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2cf91045-1fcd-4ffe-8730-ec84eb87a613
- author
- Vadlamani, Sreekar LU and Marinucci, Domenico
- publishing date
- 2015-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- spherical random fields, suprema, metric entropy, 60G60, 62M15, 53C65, 42C15, almost sure convergence
- in
- Statistics and Probability Letters
- volume
- 96
- pages
- 8 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:84908347955
- ISSN
- 0167-7152
- DOI
- 10.1016/j.spl.2014.09.018
- language
- English
- LU publication?
- no
- id
- 2cf91045-1fcd-4ffe-8730-ec84eb87a613
- date added to LUP
- 2017-09-01 11:58:26
- date last changed
- 2022-01-30 22:30:50
@article{2cf91045-1fcd-4ffe-8730-ec84eb87a613,
abstract = {{In this note, we investigate the behaviour of suprema for band-limited spherical random fields. We prove upper and lower bound for the expected values of these suprema, by means of metric entropy arguments and discrete approximations; we then exploit the Borell–TIS inequality to establish almost sure upper and lower bounds for their fluctuations. Band limited functions can be viewed as restrictions on the sphere of random polynomials with increasing degrees, and our results show that fluctuations scale as the square root of the logarithm of these degrees.}},
author = {{Vadlamani, Sreekar and Marinucci, Domenico}},
issn = {{0167-7152}},
keywords = {{spherical random fields; suprema; metric entropy; 60G60; 62M15; 53C65; 42C15; almost sure convergence}},
language = {{eng}},
pages = {{141--148}},
publisher = {{Elsevier}},
series = {{Statistics and Probability Letters}},
title = {{A note on global suprema of band-limited spherical random functions}},
url = {{http://dx.doi.org/10.1016/j.spl.2014.09.018}},
doi = {{10.1016/j.spl.2014.09.018}},
volume = {{96}},
year = {{2015}},
}