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 F i (x) . Applications and implications of the results are discussed in the performance of wideband spectrum sensing schemes.
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