Advances in Combinatorial Methods and Applications to Probability and Statistics

Editors:

ISBN: 978-1-4612-8671-4 (Print) 978-1-4612-4140-9 (Online)

Table of contents (32 chapters)

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  1. Front Matter

    Pages i-xxxiv

  2. Lattice Paths and Combinatorial Methods

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-13

      Lattice Paths and Faber Polynomials

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      Book Chapter

      Pages 15-27

      Lattice Path Enumeration and Umbral Calculus

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      Book Chapter

      Pages 29-58

      The Enumeration of Lattice Paths With Respect to Their Number of Turns

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      Book Chapter

      Pages 59-76

      Lattice Path Counting, Simple Random Walk Statistics, and Randomization: An Analytic Approach

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      Book Chapter

      Pages 77-88

      Combinatorial Identities: A Generalization of Dougall’s Identity

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      Book Chapter

      Pages 89-93

      A Comparison Of Two Methods For Random Labelling of Balls by Vectors of Integers

  3. Applications to Probability Problems

    1. Front Matter

      Pages 95-95

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      Book Chapter

      Pages 97-114

      On The Ballot Theorems

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      Book Chapter

      Pages 115-124

      Some Results for Two-Dimensional Random Walk

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      Book Chapter

      Pages 125-134

      Random Walks on SL(2, F2) and Jacobi Symbols of Quadratic Residues

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      Book Chapter

      Pages 135-151

      Rank Order Statistics Related to a Generalized Random Walk

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      Book Chapter

      Pages 153-163

      On a Subset Sum Algorithm and Its Probabilistic and Other Applications

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      Book Chapter

      Pages 165-187

      I and J Polynomials in a Potpourri of Probability Problems

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      Book Chapter

      Pages 189-200

      Stirling Numbers and Records

  4. Applications to Urn Models

    1. Front Matter

      Pages 201-201

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      Book Chapter

      Pages 203-257

      Advances in Urn Models during the Past Two Decades

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      Book Chapter

      Pages 259-273

      A Unified Derivation of Occupancy and Sequential Occupancy Distributions

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      Book Chapter

      Pages 275-284

      Moments, Binomial Moments and Combinatorics

  5. Applications to Queueing Theory

    1. Front Matter

      Pages 285-285

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      Book Chapter

      Pages 287-299

      Nonintersecting Paths and Applications in Queueing Theory

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      Book Chapter

      Pages 301-315

      Transient Busy Period Analysis of Initially Non-Empty M/G/l Queues—Lattice Path Approach

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      Book Chapter

      Pages 317-338

      Single Server Queueing System with Poisson Input: A Review of Some Recent Developments

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      Book Chapter

      Pages 339-360

      Recent Advances in the Analysis of Polling Systems

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