Advances in Combinatorial Methods and Applications to Probability and Statistics / Edition 1

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $183.41
Usually ships in 1-2 business days
(Save 36%)
Other sellers (Hardcover)
  • All (7) from $183.41   
  • New (6) from $183.41   
  • Used (1) from $347.71   

Product Details

  • ISBN-13: 9780817639082
  • Publisher: Birkhauser Verlag
  • Publication date: 5/1/1997
  • Series: Statistics for Industry and Technology Series
  • Edition description: 1997
  • Edition number: 1
  • Pages: 562
  • Product dimensions: 10.00 (w) x 7.00 (h) x 1.31 (d)

Table of Contents

Sri Gopal Mohanty - Life and Works
List of Contributors
List of Tables
List of Figures
1 Lattice Paths and Faber Polynomials 3
2 Lattice Path Enumeration and Umbral Calculus 15
3 The Enumeration of Lattice Paths With Respect to Their Number of Turns 29
4 Lattice Path Counting, Simple Random Walk Statistics, and Randomizations: An Analytic Approach 59
5 Combinatorial Identities: A Generalization of Dougall's Identity 77
6 A Comparison of Two Methods for Random Labelling of Balls by Vectors of Integers 89
7 On the Ballot Theorems 97
8 Some Results for Two-Dimensional Random Walk 115
9 Random Walks on SL(2, F[subscript 2]) and Jacobi Symbols of Quadratic Residues 125
10 Rank Order Statistics Related to a Generalized Random Walk 135
11 On a Subset Sum Algorithm and Its Probabilistic and Other Applications 153
12 I and J Polynomials in Potpourri of Probability Problems 165
13 Stirling Numbers and Records 189
14 Advances in Urn Models During The Past Two Decades 203
15 A Unified Derivation of Occupancy and Sequential Occupancy Distributions 259
16 Moments, Binomial Moments and Combinatorics 275
17 Nonintersecting Paths and Applications to Queueing Theory 287
18 Transient Busy Period Analysis of Initially Non-Empty M/G/1 Queues - Lattice Path Approach 301
19 Single Server Queueing System with Poisson Input: A Review of Some Recent Developments 317
20 Recent Advances in the Analysis of Polling Systems 339
21 Waiting Times and Number of Appearances of Events in a Sequence of Discrete Random Variables 363
22 On Sooner and Later Problems Between Success and Failure Runs 385
23 Distributions of Numbers of Success-Runs Until the First Consecutive k Successes in Higher Order Markov Dependent Trials 401
24 On Multivariate Distributions of Various Orders Obtained by Waiting for the r-th Success Run of Length k in Trials With Multiple Outcomes 411
25 A Multivariate Negative Binomial Distribution of Order k Arising When Success Runs are Allowed to Overlap 427
26 The Joint Energy Distributions of the Bose-Einstein and of the Fermi-Dirac Particles 441
27 On Modified q-Bessel Functions and Some Statistical Applications 451
28 A q-Logarithmic Distribution 465
29 Bernoulli Learning Models: Uppuluri Numbers 471
30 Linear Nonparametric Tests Against Restricted Alternatives: The Simple-Tree Order and The Simple Order 483
31 Nonparametric Estimation of the Ratio of Variance Components 507
32 Limit Theorems for M-Processes Via Rank Statistics Processes 521
Author Index 535
Subject Index 545
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)