Asymptotic Value of the Probability That the First Order Statistic Is from Null Hypothesis
نویسندگان
چکیده
When every element of a random vector 1 2 , , , n X X X X assumes the cumulative distribution function 0 F and 1 F with probability and p p 1 , respectively, we have shown that the probability that the first order statistic of 0 X is originally under 0 F can be expressed as . We have also shown that 0 1 0 1 1 d np p F x pF x F x 1 n 0 0 lim 1 n p p p , where 1 0 lim x x F x F x and 0 1 max , x x x with , i x the support of i F x . Applications and implications of the results are discussed in the performance of wideband spectrum sensing schemes.
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