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    Lattice Path Counting and Applications
    Lattice Path Counting and Applications
    Lattice Path Counting and Applications
    Ebook160 pages3 hours

    Lattice Path Counting and Applications

    By Gopal Mohanty

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    About this ebook

    Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Lattice Path Counting and Applications focuses on the principles, methodologies, and approaches involved in lattice path counting and applications, including vector representation, random walks, and rank order statistics. The book first underscores the simple and general boundaries of path counting. Topics include types of diagonal steps and a correspondence, paths within general boundaries, higher dimensional paths, vector representation, compositions, and domination, recurrence and generating function method, and reflection principle. The text then examines invariance and fluctuation and random walk and rank order statistics. Discussions focus on random walks, rank order statistics, Chung-Feller theorems, and Sparre Andersen's equivalence. The manuscript takes a look at convolution identities and inverse relations and discrete distributions, queues, trees, and search codes, as well as discrete distributions and a correlated random walk, trees and search codes, convolution identities, and orthogonal relations and inversion formulas. The text is a valuable reference for mathematicians and researchers interested in in lattice path counting and applications.
    LanguageEnglish
    PublisherAcademic Press
    Release dateJul 10, 2014
    ISBN9781483218809
    Lattice Path Counting and Applications

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