TITLE:
Asymptotic Value of the Probability That the First Order Statistic Is from Null Hypothesis
AUTHORS:
Iickho Song, Seungwon Lee, So Ryoung Park, Seokho Yoon
KEYWORDS:
Energy; Order Statistic; Probability; Spectrum Sensing
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.12,
December
5,
2013
ABSTRACT:
When every element of a random
vector X =(X1,X2,...,Xn)assumes the cumulative distribution function F0and F1with probability pand 1 - p, respectively, we have shown that the probability S0that the first order statistic of Xis originally under F0can be expressed as . We have also shown that , where and with the support of Fi(x). Applications and implications of the results are
discussed in the performance of wideband spectrum sensing schemes.