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The Resource Univariate discrete distributions, Norman L. Johnson, Samuel Kotz, Adrienne W. Kemp

Univariate discrete distributions, Norman L. Johnson, Samuel Kotz, Adrienne W. Kemp

Label
Univariate discrete distributions
Title
Univariate discrete distributions
Statement of responsibility
Norman L. Johnson, Samuel Kotz, Adrienne W. Kemp
Creator
Contributor
Subject
Genre
Language
eng
Summary
Addresses the latest advances in discrete distributions theory including the development of new distributions, new families of distributions and a better understanding of their interrelationships. Greater emphasis on the increasing relevance of Bayesian inference to discrete distribution, especially with regard to the binomial and Poisson distributions, is covered. All chapters have been revised to make them user-friendly and more up-to-date. Extensive information on new mixtures, including generalized hypergeometric families, and the increased use of the computer have been added. The bibliography is updated and expanded along with relevant chapter and section numbers
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Johnson, Norman Lloyd
Dewey number
  • 519.24
  • 512.2/4
Illustrations
illustrations
Index
index present
LC call number
QA273.6
LC item number
.J64 1992
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Kotz, Samuel
  • Kemp, Adrienne W
Series statement
Wiley series in probability and mathematical statistics. Applied probability and statistics
http://library.link/vocab/subjectName
  • Distribution (Probability theory)
  • Probability Theory
  • Verdelingen (statistiek)
  • Distribution (Théorie des probabilités)
  • Distribution (Théorie des probabilités)
  • Diskrete Wahrscheinlichkeitsverteilung
  • Distribution (théorie des probabilités)
  • Analyse multivariée
Label
Univariate discrete distributions, Norman L. Johnson, Samuel Kotz, Adrienne W. Kemp
Instantiates
Publication
Note
  • Rev. ed. of: Discrete distributions / Norman L. Johnson, Samuel Kotz. 1969
  • "A Wiley-Interscience publication."
Bibliography note
Includes bibliographical references (pages 473-547) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Preliminary Information. A. Mathematical Preliminaries. B. Probability and Statistical Preliminaries. C. Computer Generation of Univariate Discrete Random Variables -- 2. Families of Discrete Distributions. 1. Lattice Distributions. 2. Power Series Distributions. 3. Difference Equation Systems. 4. Kemp Families. 5. Distributions Based on Lagrangian Expansions. 6. Factorial Series Distributions -- 3. Binomial Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Order Statistics. 6. Approximations, Bounds, and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Binomial Distributions. 12. Other Related Distributions -- 4. Poisson Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations, Bounds, and Transformations. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Misrecorded Poisson Distributions. 11. Poisson-Stopped-Sum Distributions. 12. Other Related Distributions -- 5. Negative Binomial Distribution. 1. Definition. 2. Geometric Distribution. 3. Historical Remarks and Genesis. 4. Moments. 5. Properties. 6. Approximations and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Negative Binomial Distributions. 12. Other Related Distributions -- 6. Hypergeometric Distributions. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Tables and Computation. 7. Estimation. 8. Characterizations. 9. Applications. 10. Special Cases. 11. Extended Hypergeometric Distributions. 12. Other Related Distributions -- 7. Logarithmic Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Modified Logarithmic Distributions. 11. Other Related Distributions -- 8. Mixture Distributions. 1. Introduction. 2. Finite Mixtures of Discrete Distributions. 3. Continuous and Countable Mixtures of Discrete Distributions -- 9. Generalized (Stopped-Sum) Distributions. 1. Introduction. 2. Damage Processes. 3. Poisson-Stopped-Sum Distributions: Generalized Poisson Distributions. 4. Hermite Distribution. 5. Poisson-Binomial Distribution. 6. Neyman Type A Distribution. 7. Polya-Aeppli Distribution. 8. Poisson-Pascal Distribution: Poisson-Negative Binomial Distribution, Generalized Polya-Aeppli Distribution. 9. Generalizations of the Neyman Type A Distribution. 10. Thomas Distribution. 11. Lagrangian Poisson Distribution: Shifted Borel-Tanner Distribution. 12. Other Families of Stopped-Sum Distributions -- 10. Matching, Occupancy, and Runs Distributions. 1. Introduction. 2. Probabilities of Combined Events. 3. Matching Distributions. 4. Occupancy Distributions. 5. Runs Distributions. 6. Distributions of Order k -- 11. Miscellaneous Discrete Distributions. 1. Absorption Distribution. 2. Dandekar's Modified Binomial and Poisson Distributions. 3. Digammma and Trigamma Distributions. 4. Discrete Ades Distribution. 5. Discrete Student's t-Distribution. 6. Geeta Distribution. 7. Gegenbauer Distribution: Negative Binomial[superscript *]Pseudo-Negative Binomial Convolution. 8. Gram-Charlier Type B Distributions. 9. "Interrupted" Distributions. 10. Lost-Games Distributions. 11. Naor's Distribution. 12. Partial-Sums Distributions. 13. Queueing Theory Distributions. 14. Record-Value Distributions. 15. Sichel Distribution: Poisson-Inverse Gaussian Distribution. 16. Skellam's Gene Frequency Distribution. 17. Steyn's Two-Parameter Power Series Distributions. 18. Univariate Multinomial-Type Distributions. 19. Urn Models with Stochastic Replacements. 20. Zipf and Zeta Distributions
Control code
25547480
Dimensions
25 cm
Edition
2nd ed.
Extent
xx, 565 pages
Isbn
9780471548973
Isbn Type
(cloth)
Lccn
92011685
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (WaOLN)1498060
  • (OCoLC)25547480
Label
Univariate discrete distributions, Norman L. Johnson, Samuel Kotz, Adrienne W. Kemp
Publication
Note
  • Rev. ed. of: Discrete distributions / Norman L. Johnson, Samuel Kotz. 1969
  • "A Wiley-Interscience publication."
Bibliography note
Includes bibliographical references (pages 473-547) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Preliminary Information. A. Mathematical Preliminaries. B. Probability and Statistical Preliminaries. C. Computer Generation of Univariate Discrete Random Variables -- 2. Families of Discrete Distributions. 1. Lattice Distributions. 2. Power Series Distributions. 3. Difference Equation Systems. 4. Kemp Families. 5. Distributions Based on Lagrangian Expansions. 6. Factorial Series Distributions -- 3. Binomial Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Order Statistics. 6. Approximations, Bounds, and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Binomial Distributions. 12. Other Related Distributions -- 4. Poisson Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations, Bounds, and Transformations. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Misrecorded Poisson Distributions. 11. Poisson-Stopped-Sum Distributions. 12. Other Related Distributions -- 5. Negative Binomial Distribution. 1. Definition. 2. Geometric Distribution. 3. Historical Remarks and Genesis. 4. Moments. 5. Properties. 6. Approximations and Transformations. 7. Computation and Tables. 8. Estimation. 9. Characterizations. 10. Applications. 11. Truncated Negative Binomial Distributions. 12. Other Related Distributions -- 6. Hypergeometric Distributions. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Tables and Computation. 7. Estimation. 8. Characterizations. 9. Applications. 10. Special Cases. 11. Extended Hypergeometric Distributions. 12. Other Related Distributions -- 7. Logarithmic Distribution. 1. Definition. 2. Historical Remarks and Genesis. 3. Moments. 4. Properties. 5. Approximations and Bounds. 6. Computation and Tables. 7. Estimation. 8. Characterizations. 9. Applications. 10. Truncated and Modified Logarithmic Distributions. 11. Other Related Distributions -- 8. Mixture Distributions. 1. Introduction. 2. Finite Mixtures of Discrete Distributions. 3. Continuous and Countable Mixtures of Discrete Distributions -- 9. Generalized (Stopped-Sum) Distributions. 1. Introduction. 2. Damage Processes. 3. Poisson-Stopped-Sum Distributions: Generalized Poisson Distributions. 4. Hermite Distribution. 5. Poisson-Binomial Distribution. 6. Neyman Type A Distribution. 7. Polya-Aeppli Distribution. 8. Poisson-Pascal Distribution: Poisson-Negative Binomial Distribution, Generalized Polya-Aeppli Distribution. 9. Generalizations of the Neyman Type A Distribution. 10. Thomas Distribution. 11. Lagrangian Poisson Distribution: Shifted Borel-Tanner Distribution. 12. Other Families of Stopped-Sum Distributions -- 10. Matching, Occupancy, and Runs Distributions. 1. Introduction. 2. Probabilities of Combined Events. 3. Matching Distributions. 4. Occupancy Distributions. 5. Runs Distributions. 6. Distributions of Order k -- 11. Miscellaneous Discrete Distributions. 1. Absorption Distribution. 2. Dandekar's Modified Binomial and Poisson Distributions. 3. Digammma and Trigamma Distributions. 4. Discrete Ades Distribution. 5. Discrete Student's t-Distribution. 6. Geeta Distribution. 7. Gegenbauer Distribution: Negative Binomial[superscript *]Pseudo-Negative Binomial Convolution. 8. Gram-Charlier Type B Distributions. 9. "Interrupted" Distributions. 10. Lost-Games Distributions. 11. Naor's Distribution. 12. Partial-Sums Distributions. 13. Queueing Theory Distributions. 14. Record-Value Distributions. 15. Sichel Distribution: Poisson-Inverse Gaussian Distribution. 16. Skellam's Gene Frequency Distribution. 17. Steyn's Two-Parameter Power Series Distributions. 18. Univariate Multinomial-Type Distributions. 19. Urn Models with Stochastic Replacements. 20. Zipf and Zeta Distributions
Control code
25547480
Dimensions
25 cm
Edition
2nd ed.
Extent
xx, 565 pages
Isbn
9780471548973
Isbn Type
(cloth)
Lccn
92011685
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
  • (WaOLN)1498060
  • (OCoLC)25547480

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