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Guesswork and entropy

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2 Author(s)
Malone, D. ; Commun. Network Res. Inst., Dublin Inst. of Technol., Ireland ; Sullivan, W.G.

We derive the moments of the guesswork , the number of attempts required to correctly guess the output of a random source, for a source determined by a Markov chain via a large deviations type estimate. These moments are related to the Perron-Frobenius eigenvalue of the matrix formed by element-wise powers of the Markov chain's transition matrix.

Published in:

Information Theory, IEEE Transactions on  (Volume:50 ,  Issue: 3 )