Journal of Statistical Theory and Applications

Volume 15, Issue 3, September 2016, Pages 214 - 220

RKHS approach for signal detection in rotation and scale space random fields

Authors
K. Shafie, Akbar Abravesh
Corresponding Author
K. Shafie
Received 13 December 2014, Accepted 11 June 2016, Available Online 1 September 2016.
DOI
10.2991/jsta.2016.15.3.2How to use a DOI?
Keywords
Scale space random fields, rotation space random fields, reproducing kernel Hilbert space, likelihood ratio statistic.
Abstract

Two important papers of Worsley, Siegmund and coworkers consider rotation and scale space random fields for detecting signals in fMRI (functional magnetic resonance imaging) brain images. They use the global maxima of images for detection of a signal. In the current work, we utilize a reproducing kernel Hilbert space (RKHS) approach to show for both rotation and scale space random fields the global maximum of the image is indeed the likelihood ratio test statistic.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
15 - 3
Pages
214 - 220
Publication Date
2016/09/01
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2016.15.3.2How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - K. Shafie
AU  - Akbar Abravesh
PY  - 2016
DA  - 2016/09/01
TI  - RKHS approach for signal detection in rotation and scale space random fields
JO  - Journal of Statistical Theory and Applications
SP  - 214
EP  - 220
VL  - 15
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2016.15.3.2
DO  - 10.2991/jsta.2016.15.3.2
ID  - Shafie2016
ER  -