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    Guesswork and Entropy


    Malone, David and Sullivan, Wayne G. (2004) Guesswork and Entropy. IEEE Transactions on Information Theory, 50 (3). pp. 525-526. ISSN 0018-9448

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    Abstract

    Abstract—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.

    Item Type: Article
    Additional Information: Copyright Notice "©2004 IEEE. Reprinted from IEEE Transactions on Information Theory. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE." http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1273661&isnumber=28501
    Keywords: Markov processes; Eigenvalues and eigenfunctions; Entropy; Matrix algebra; Markov chain transition matrix; Perron-Frobenius eigenvalue; Renyi entropy; Deviation; Estimation; Element-wise power; Guesswork; Matrix formation.
    Academic Unit: Faculty of Science and Engineering > Computer Science
    Faculty of Science and Engineering > Research Institutes > Hamilton Institute
    Item ID: 1462
    Identification Number: https://doi.org/10.1109/TIT.2004.824921
    Depositing User: Dr. David Malone
    Date Deposited: 30 Jun 2009 16:45
    Journal or Publication Title: IEEE Transactions on Information Theory
    Publisher: IEEE
    Refereed: Yes
    URI:
    Use Licence: This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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