The Resource Advances in Combinatorial Methods and Applications to Probability and Statistics, edited by N. Balakrishnan, (electronic resource)

Advances in Combinatorial Methods and Applications to Probability and Statistics, edited by N. Balakrishnan, (electronic resource)

Label
Advances in Combinatorial Methods and Applications to Probability and Statistics
Title
Advances in Combinatorial Methods and Applications to Probability and Statistics
Statement of responsibility
edited by N. Balakrishnan
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
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
Member of
Dewey number
511.1
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
9sOEReIZL34
Image bit depth
0
Language note
English
LC call number
QA150-272
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Balakrishnan, N.
Series statement
Statistics for Industry and Technology,
http://library.link/vocab/subjectName
  • Distribution (Probability theory
  • Combinatorics
  • Discrete Mathematics
  • Probability Theory and Stochastic Processes
  • Combinatorics
Label
Advances in Combinatorial Methods and Applications to Probability and Statistics, edited by N. Balakrishnan, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
I—Lattice Paths and Combinatorial Methods -- 1 Lattice Paths and Faber Polynomials -- 2 Lattice Path Enumeration and Umbral Calculus -- 3 The Enumeration of Lattice Paths With Respect to Their Number of Turns -- 4 Lattice Path Counting Simple Random Walk Statistics, and Randomizations: An Analytic Approach -- 5 Combinatorial Identities: A Generalization of Dougall’s Identity -- 6 A Comparison of Two Methods for Random Labelling of Balls by Vectors of Integers -- II—Applications to Probability Problems -- 7 On the Ballot Theorems -- 8 Some Results for Two-Dimensional Random Walk -- 9 Random Walks on SL(2, F2) and Jacobi Symbols of Quadratic Residues -- 10 Rank Order Statistics Related to a Generalized Random Walk -- 11 On a Subset Sum Algorithm and Its Probabilistic and Other Applications -- 12 I and J Polynomials in a Potpourri of Probability Problems -- 13 Stirling Numbers and Records -- III—Applications to Urn Models -- 14 Advances in Urn Models During The Past Two Decades -- 15 A Unified Derivation of Occupancy and Sequential Occupancy Distributions -- 16 Moments Binomial Moments and Combinatorics -- IV—Applications to Queueing Theory -- 17 Nonintersecting Paths and Applications to Queueing Theory -- 18 Transient Busy Period Analysis of Initially Non-Empty M/G/l Queues—Lattice Path Approach -- 19 Single Server Queueing System with Poisson Input: A Review of Some Recent Developments -- 20 Recent Advances in the Analysis of Polling Systems -- V—Applications to Waiting Time Problems -- 21 Waiting Times and Number of Appearances of Events in a Sequence of Discrete Random Variables -- 22 On Sooner and Later Problems Between Success and Failure Runs -- 23 Distributions of Numbers of Success-Runs Until the First Consecutive k Successes in Higher Order Markov Dependent Trials -- 24 On Multivariate Distributions of Various Orders Obtained by Waiting for the r-th Success Run of Length k in Trials With Multiple Outcomes -- 25 A Multivariate Negative Binomial Distribution of Order k Arising When Success Runs are Allowed to Overlap -- VI—Applications to Distribution Theory -- 26 The Joint Energy Distributions of the Bose-Einstein and of the Fermi-Dirac Particles -- 27 On Modified g-Bessel Functions and Some Statistical Applications -- 28 A g-Logarithmic Distribution -- 29 Bernoulli Learning Models: Uppuluri Numbers -- VII—Applications to Nonparametric Statistics -- 30 Linear Nonparametric Tests Against Restricted Alternatives: The Simple-Tree Order and The Simple Order -- 31 Nonparametric Estimation of the Ratio of Variance Components -- 32 Limit Theorems for M-Processes Via Rank Statistics Processes -- Author Index
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XXXIV, 562 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461241409
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-4140-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000090721
  • (SSID)ssj0001295717
  • (PQKBManifestationID)11986888
  • (PQKBTitleCode)TC0001295717
  • (PQKBWorkID)11342663
  • (PQKB)10199394
  • (DE-He213)978-1-4612-4140-9
  • (MiAaPQ)EBC3075973
  • (EXLCZ)993400000000090721
Label
Advances in Combinatorial Methods and Applications to Probability and Statistics, edited by N. Balakrishnan, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
  • cr
Color
not applicable
Content category
text
Content type code
  • txt
Contents
I—Lattice Paths and Combinatorial Methods -- 1 Lattice Paths and Faber Polynomials -- 2 Lattice Path Enumeration and Umbral Calculus -- 3 The Enumeration of Lattice Paths With Respect to Their Number of Turns -- 4 Lattice Path Counting Simple Random Walk Statistics, and Randomizations: An Analytic Approach -- 5 Combinatorial Identities: A Generalization of Dougall’s Identity -- 6 A Comparison of Two Methods for Random Labelling of Balls by Vectors of Integers -- II—Applications to Probability Problems -- 7 On the Ballot Theorems -- 8 Some Results for Two-Dimensional Random Walk -- 9 Random Walks on SL(2, F2) and Jacobi Symbols of Quadratic Residues -- 10 Rank Order Statistics Related to a Generalized Random Walk -- 11 On a Subset Sum Algorithm and Its Probabilistic and Other Applications -- 12 I and J Polynomials in a Potpourri of Probability Problems -- 13 Stirling Numbers and Records -- III—Applications to Urn Models -- 14 Advances in Urn Models During The Past Two Decades -- 15 A Unified Derivation of Occupancy and Sequential Occupancy Distributions -- 16 Moments Binomial Moments and Combinatorics -- IV—Applications to Queueing Theory -- 17 Nonintersecting Paths and Applications to Queueing Theory -- 18 Transient Busy Period Analysis of Initially Non-Empty M/G/l Queues—Lattice Path Approach -- 19 Single Server Queueing System with Poisson Input: A Review of Some Recent Developments -- 20 Recent Advances in the Analysis of Polling Systems -- V—Applications to Waiting Time Problems -- 21 Waiting Times and Number of Appearances of Events in a Sequence of Discrete Random Variables -- 22 On Sooner and Later Problems Between Success and Failure Runs -- 23 Distributions of Numbers of Success-Runs Until the First Consecutive k Successes in Higher Order Markov Dependent Trials -- 24 On Multivariate Distributions of Various Orders Obtained by Waiting for the r-th Success Run of Length k in Trials With Multiple Outcomes -- 25 A Multivariate Negative Binomial Distribution of Order k Arising When Success Runs are Allowed to Overlap -- VI—Applications to Distribution Theory -- 26 The Joint Energy Distributions of the Bose-Einstein and of the Fermi-Dirac Particles -- 27 On Modified g-Bessel Functions and Some Statistical Applications -- 28 A g-Logarithmic Distribution -- 29 Bernoulli Learning Models: Uppuluri Numbers -- VII—Applications to Nonparametric Statistics -- 30 Linear Nonparametric Tests Against Restricted Alternatives: The Simple-Tree Order and The Simple Order -- 31 Nonparametric Estimation of the Ratio of Variance Components -- 32 Limit Theorems for M-Processes Via Rank Statistics Processes -- Author Index
Dimensions
unknown
Edition
1st ed. 1997.
Extent
1 online resource (XXXIV, 562 p.)
File format
multiple file formats
Form of item
online
Isbn
9781461241409
Level of compression
uncompressed
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4612-4140-9
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000090721
  • (SSID)ssj0001295717
  • (PQKBManifestationID)11986888
  • (PQKBTitleCode)TC0001295717
  • (PQKBWorkID)11342663
  • (PQKB)10199394
  • (DE-He213)978-1-4612-4140-9
  • (MiAaPQ)EBC3075973
  • (EXLCZ)993400000000090721

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