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Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion

Abstract: 

In this paper a method for distributed detection for scenarios when there is no explicit knowledge of the probability models associated with the hypotheses is proposed. The underlying distributions are accurately learned from the data by bootstrapping. We propose using a nonparametric one-sample Anderson-Darling test locally at each sensor. The one-sample version of the test gives superior performance in comparison to the two-sample alternative. The local decision statistics, in particular p-values are then sent to a fusion center to make the final decision. This allows for fusing local independent test statistics even if they obey different distributions at each sensor. Three different methods of fusing p-vales from independent tests are considered. Our simulation results demonstrate that p-value fusion is a powerful approach, especially when the Fisher’s method is employed.

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Paper Details

Authors:
Topi Halme, Visa Koivunen
Submitted On:
3 June 2018 - 4:59am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Topi Halme and Visa Koivunen
Paper Code:
1074
Document Year:
2018
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[1] Topi Halme, Visa Koivunen, "Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/3232. Accessed: Aug. 21, 2018.
@article{3232-18,
url = {http://sigport.org/3232},
author = {Topi Halme; Visa Koivunen },
publisher = {IEEE SigPort},
title = {Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion},
year = {2018} }
TY - EJOUR
T1 - Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion
AU - Topi Halme; Visa Koivunen
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/3232
ER -
Topi Halme, Visa Koivunen. (2018). Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion. IEEE SigPort. http://sigport.org/3232
Topi Halme, Visa Koivunen, 2018. Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion. Available at: http://sigport.org/3232.
Topi Halme, Visa Koivunen. (2018). "Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion." Web.
1. Topi Halme, Visa Koivunen. Nonparametric Distributed Detection Using One-Sample Anderson-Darling Test and p-value Fusion [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/3232