Advances in Combinatorial Methods and Applications to Probability and Statistics

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Lattice Paths and Faber Polynomials
3. Altmetric Badge
   Chapter 2 Lattice Path Enumeration and Umbral Calculus
4. Altmetric Badge
   Chapter 3 The Enumeration of Lattice Paths With Respect to Their Number of Turns
5. Altmetric Badge
   Chapter 4 Lattice Path Counting, Simple Random Walk Statistics, and Randomization: An Analytic Approach
6. Altmetric Badge
   Chapter 5 Combinatorial Identities: A Generalization of Dougall’s Identity
7. Altmetric Badge
   Chapter 6 A Comparison Of Two Methods For Random Labelling of Balls by Vectors of Integers
8. Altmetric Badge
   Chapter 7 On The Ballot Theorems
9. Altmetric Badge
   Chapter 8 Some Results for Two-Dimensional Random Walk
10. Altmetric Badge
    Chapter 9 Random Walks on SL(2, F 2 ) and Jacobi Symbols of Quadratic Residues
11. Altmetric Badge
    Chapter 10 Rank Order Statistics Related to a Generalized Random Walk
12. Altmetric Badge
    Chapter 11 On a Subset Sum Algorithm and Its Probabilistic and Other Applications
13. Altmetric Badge
    Chapter 12 I and J Polynomials in a Potpourri of Probability Problems
14. Altmetric Badge
    Chapter 13 Stirling Numbers and Records
15. Altmetric Badge
    Chapter 14 Advances in Urn Models during the Past Two Decades
16. Altmetric Badge
    Chapter 15 A Unified Derivation of Occupancy and Sequential Occupancy Distributions
17. Altmetric Badge
    Chapter 16 Moments, Binomial Moments and Combinatorics
18. Altmetric Badge
    Chapter 17 Nonintersecting Paths and Applications in Queueing Theory
19. Altmetric Badge
    Chapter 18 Transient Busy Period Analysis of Initially Non-Empty M/G/l Queues—Lattice Path Approach
20. Altmetric Badge
    Chapter 19 Single Server Queueing System with Poisson Input: A Review of Some Recent Developments
21. Altmetric Badge
    Chapter 20 Recent Advances in the Analysis of Polling Systems
22. Altmetric Badge
    Chapter 21 Waiting Times and Number of Appearances of Events in a Sequence of Discrete Random Variables
23. Altmetric Badge
    Chapter 22 On Sooner and Later Problems Between Success and Failure Runs
24. Altmetric Badge
    Chapter 23 Distributions of Numbers of Success-Runs Until the First Consecutive k Successes in Higher Order Markov Dependent Trials
25. Altmetric Badge
    Chapter 24 On Multivariate Distributions of Various Orders Obtained by Waiting for the r-th Success Run of Length k in Trials With Multiple Outcomes
26. Altmetric Badge
    Chapter 25 A Multivariate Negative Binomial Distribution of Order k Arising When Success Runs are Allowed to Overlap
27. Altmetric Badge
    Chapter 26 The Joint Energy Distributions of the Bose-Einstein and of the Fermi-Dirac Particles
28. Altmetric Badge
    Chapter 27 On Modified q-Bessel Functions and Some Statistical Applications
29. Altmetric Badge
    Chapter 28 A q-Logarithmic Distribution
30. Altmetric Badge
    Chapter 29 Bernoulli Learning Models: Uppuluri Numbers
31. Altmetric Badge
    Chapter 30 Linear Nonparametric Tests Against Restricted Alternatives: The Simple-Tree Order and The Simple Order
32. Altmetric Badge
    Chapter 31 Nonparametric Estimation of the Ratio of Variance Components
33. Altmetric Badge
    Chapter 32 Limit Theorems for M-Processes Via Rank Statistics Processes