Statistics for Industry and Technology

By: N. Balakrishnan, N. Balakarishnan McMaster (Editor)

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Hardcover | 1 May 1997

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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.

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Non-Fiction Mathematics Combinatorics & Graph Theory Probability & Statistics Discrete Mathematics Applied Mathematics Stochastics

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Published: 30th September 2011

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

Statistics for Industry and Technology

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