AM  Vol.4 No.12 , December 2013
Asymptotic Value of the Probability That the First Order Statistic Is from Null Hypothesis
ABSTRACT

When every element of a random vector X =(X1,X2,...,Xn) assumes the cumulative distribution function F0 and F1 with probability p and 1 - p, respectively, we have shown that the probability S0 that the first order statistic of X is originally under F0 can be expressed as . We have also shown that , where  and   with  the support of (x) . Applications and implications of the results are discussed in the performance of wideband spectrum sensing schemes.


Cite this paper
Song, I. , Lee, S. , Park, S. and Yoon, S. (2013) Asymptotic Value of the Probability That the First Order Statistic Is from Null Hypothesis. Applied Mathematics, 4, 1702-1705. doi: 10.4236/am.2013.412231.
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