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On permanents of doubly stochastic and related matrices

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dc.contributor.author Manas GJ en
dc.date.accessioned 2016-09-22T11:18:16Z
dc.date.available 2016-09-22T11:18:16Z
dc.date.submitted 1984 en
dc.identifier.uri http://hdl.handle.net/20.500.11892/109589
dc.description.abstract This dissertation studies the theory and applications to statistics and combinatorics of permanents of doubly stochastic matrices. The major conjecture concerning permanents of doubly stochastic matrices (the van der Waerden conjecture) has been proven recently and constitutes the backbone of this- dissertation. The van der Waerden conjecture is used extensively in enumerating certain combinatorial structures. The ideas of statistical 'randomness' in permanents and statistical distributions involving permanents are investigated. Some structures are studied in which the permanent function is an invaluable aid but do not, however use the van der Waerden conjecture. Some of the matrices examined are not always doubly stochastic but cyclic' or patterned in a doubly stochastic manner. The permanent, which is often regarded as a rather impracticable matrix function is shown, through several examples, to be otherwise. The results and illustrations, both statistical and combinatorial, rely almost exclusively for their existence upon the permanent function over this special class of matrices. en
dc.language English en
dc.subject Mathematics, Mathematical statistics and Statistics en
dc.subject Mathematical statistics en
dc.title On permanents of doubly stochastic and related matrices en
dc.type Masters degree en
dc.description.degree MSc en

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