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Partially-finite programming in L1and the existence of maximum entropy estimates

Borwein, Jonathan M. and Lewis, Adrian (1993) Partially-finite programming in L1and the existence of maximum entropy estimates. SIAM Journal on Control and Optimization, 3 . pp. 248-267. ISSN 0363-0129

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    Abstract

    Best entropy estimation is a technique that has been widely applied in many areas of science. It consists of estimating an unknown density from some of its moments by maximizing some measure of the entropy of the estimate. This problem can be modelled as a partially-finite convex program, with an integrable function as the variable. A complete duality and existence theory is developed for this problem and for an associated extended problem which allows singular, measure-theoretic solutions. This theory explains the appearance of singular components observed in the literature when the Burg entropy is used. It also provides a unified treatment of existence conditions when the Burg, Boltzmann-Shannon, or some other entropy is used as the objective. Some examples are discussed.

    Item Type: Article
    Subjects: UNSPECIFIED
    Faculty: UNSPECIFIED
    Depositing User: Mrs Naghmana Tehseen
    Date Deposited: 14 Jan 2015 16:03
    Last Modified: 14 Jan 2015 16:05
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1558

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