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ON THE EXPECTATION AND VARIANCE OF HAMMING DISTANCE BETWEEN TWO I.I.D RANDOM VECTORS

ON THE EXPECTATION AND VARIANCE OF HAMMING DISTANCE BETWEEN TWO I.I.D RANDOM VECTORS
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摘要 By using the generalized MacWilliams theorem, we give new representations for expectation and variance of Hamming distance between two i.i.d random vectors. By using the new representations, we derive a lower bound for the variance, and present a simple and direct proof of the inequality of [1]. By using the generalized MacWilliams theorem, we give new representations for expectation and variance of Hamming distance between two i.i.d random vectors. By using the new representations, we derive a lower bound for the variance, and present a simple and direct proof of the inequality of [1].
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1997年第3期243-250,共6页 应用数学学报(英文版)
关键词 Hamming distance random vector EXPECTATION variance generalized MacWilliams theorem Hamming distance, random vector, expectation, variance, generalized MacWilliams theorem
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