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Asymptotic Value of the Probability That the First Order Statistic Is from Null Hypothesis

Asymptotic Value of the Probability That the First Order Statistic Is from Null Hypothesis
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摘要 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. 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.
出处 《Applied Mathematics》 2013年第12期1702-1705,共4页 应用数学(英文)
关键词 ENERGY Order Statistic PROBABILITY SPECTRUM SENSING Energy Order Statistic Probability Spectrum Sensing
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