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单词 typical sequence
释义
typical sequence

Mathematics
  • For an iid sequence (x1, x2, …, xn) ∊ {0,1}n one would expect for a typical sequence that

    P((X1,X2,,Xn)=(x1,x2,,xn))2nH(X)

    where H(X) denotes the Shannon entropy of the distribution. For ε‎ > 0, the typical set Tnε is the set of sequences (x1, x2, …, xn) such that

    H(X)ε1nlog 2p(x1,x2,,xn)H(X)+ε.

    It is then probable that a sequence will arise from the typical set despite, in most cases, Tnε being much smaller than 2n in size.


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