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Advances in Combinatorial Methods and Applications to Probability and Statistics

  • Book
  • © 1997

Overview

Editors:
  1. N. Balakrishnan

    1. Department of Mathematics, McMaster University, Hamilton, Canada

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Part of the book series: Statistics for Industry and Technology (SIT)

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-xxxiv
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  2. Lattice Paths and Combinatorial Methods

    1. Front Matter

      Pages 1-1
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    2. Lattice Paths and Faber Polynomials

      • Ira M. Gessel, Sangwook Ree
      Pages 3-13

    3. Lattice Path Enumeration and Umbral Calculus

      • Heinrich Niederhausen
      Pages 15-27

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

      • C. Krattenthaler
      Pages 29-58

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

      • Wolfgang Panny, Walter Katzenbeisser
      Pages 59-76

    6. Combinatorial Identities: A Generalization of Dougall’s Identity

      • Erik Sparre Andersen, Mogens Esrom Larsen
      Pages 77-88

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

      • Doron Zeilberger
      Pages 89-93

  3. Applications to Probability Problems

    1. Front Matter

      Pages 95-95
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    2. On The Ballot Theorems

      • Lajos Takàcs
      Pages 97-114

    3. Some Results for Two-Dimensional Random Walk

      • Endre Csáki
      Pages 115-124

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

      • Toshihiro Watanabe
      Pages 125-134

    5. Rank Order Statistics Related to a Generalized Random Walk

      • Jagdish Saran, Sarita Rani
      Pages 135-151

    6. On a Subset Sum Algorithm and Its Probabilistic and Other Applications

      • V. G. Voinov, M. S. Nikulin
      Pages 153-163

    7. I and J Polynomials in a Potpourri of Probability Problems

      • Milton Sobel
      Pages 165-187

    8. Stirling Numbers and Records

      • N. Balakrishnan, V. B. Nevzorov
      Pages 189-200

  4. Applications to Urn Models

    1. Front Matter

      Pages 201-201
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    2. Advances in Urn Models during the Past Two Decades

      • Samuel Kotz, N. Balakrishnan
      Pages 203-257

    3. A Unified Derivation of Occupancy and Sequential Occupancy Distributions

      • A. Charalambides
      Pages 259-273

    4. Moments, Binomial Moments and Combinatorics

      • Janos Galambos
      Pages 275-284
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Keywords

About this book

Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. This is clearly evident from his lifetime publications list and the numerous citations his publications have received over the past three decades. My association with him began in 1982 when I came to McMaster Univer­ sity. Since then, I have been associated with him on many different issues at professional as well as cultural levels; I have benefited greatly from him on both these grounds. I have enjoyed very much being his colleague in the statistics group here at McMaster University and also as his friend. While I admire him for his honesty, sincerity and dedication, I appreciate very much his kindness, modesty and broad-mindedness. Aside from our common interest in mathematics and statistics, we both have great love for Indian classical music and dance. We have spent numerous many different subjects associated with the Indian music and hours discussing dance. I still remember fondly the long drive (to Amherst, Massachusetts) I had a few years ago with him and his wife, Shantimayee, and all the hearty discussions we had during that journey. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

Editors and Affiliations

  • Department of Mathematics, McMaster University, Hamilton, Canada

    N. Balakrishnan

Bibliographic Information

  • Book Title: Advances in Combinatorial Methods and Applications to Probability and Statistics

  • Editors: N. Balakrishnan

  • Series Title: Statistics for Industry and Technology

  • DOI: https://doi.org/10.1007/978-1-4612-4140-9

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Boston 1997

  • Hardcover ISBN: 978-0-8176-3908-2Published: 01 May 1997

  • Softcover ISBN: 978-1-4612-8671-4Published: 30 September 2011

  • eBook ISBN: 978-1-4612-4140-9Published: 06 December 2012

  • Series ISSN: 2364-6241

  • Series E-ISSN: 2364-625X

  • Edition Number: 1

  • Number of Pages: XXXIV, 562

  • Topics: Discrete Mathematics, Probability Theory and Stochastic Processes, Combinatorics

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