Keyword

probability generating function

Description: A power series whose coefficients encode the probabilities of a discrete random variable, used in probability theory and stochastic-process analysis.

Primary topic: Advanced Queuing Theory Analysis (33%)

Wikidata ID: wiki/Q372071

OpenAlex ID: keywords/probability-generating-function

A Treatise on Generating Functions.

1986 · A. W. Kemp, H. M. Srivastava, et al. · Journal of the Royal Statistical Society Series D (The Statistician) · 1,195

A New Derivation of Average Molecular Weights of Nonlinear Polymers

1976 · Christopher W. Macosko, Douglas R. Miller · Macromolecules · 691

Probability Statistics and Random Processes for Electrical Engineering

2008 · Alberto Leon‐Garcia · Medical Entomology and Zoology · 605

SIR dynamics in random networks with heterogeneous connectivity

2007 · Erik Volz · Journal of Mathematical Biology · 378

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Random Number Generators

1962 · T. E. Hull, A. R. Dobell · SIAM Review · 335

On Branching Processes in Random Environments

1969 · Walter L. Smith, William E. Wilkinson · The Annals of Mathematical Statistics · 333

Counting labeled transitions in continuous-time Markov models of evolution

2007 · Vladimir N. Minin, Marc A. Suchard · Journal of Mathematical Biology · 281

Rubber-Modified Thermoset Resins

1984 · C. Keith Riew1, John K. Gillham2 · Advances in chemistry series · 274

Insurance Risk and Ruin

2005 · David C. M. Dickson · Cambridge University Press eBooks · 264

Numerical inversion of probability generating functions

1992 · Joseph Abate, Ward Whitt · Operations Research Letters · 244

A generalized geometric distribution and some of its properties

1983 · Andreas N Philippou, Costas Georghiou, et al. · Statistics & Probability Letters · 226

Random graphs as models of networks

2002 · Mark E. J. Newman · 196

Iteration and the Solution of Functional Equations for Functions Analytic In the Unit Disk

1981 · Carl C. Cowen · Transactions of the American Mathematical Society · 180

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On the Stochastic Theory of Neutron Transport

1965 · George I. Bell · Nuclear Science and Engineering · 180

A dynamic contagion process

2011 · Angelos Dassios, Hongbiao Zhao · Advances in Applied Probability · 169

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Branching Processes

1948 · T. E. Harris · The Annals of Mathematical Statistics · 168

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A stochastic model for the origin and treatment of tumors containing drug-resistant cells

1986 · A. J. Coldman, J. H. Goldie · Bulletin of Mathematical Biology · 145

Progress of a half century in the study of the Luria–Delbrück distribution

1999 · Qi Zheng · Mathematical Biosciences · 144

Methods for calculating the probabilities of finding patterns in sequences

1989 · Rodger Staden · Computer applications in the biosciences · 144

Queue length and delay distributions at traffic signals

1994 · Dirk Heidemann · Transportation Research Part B Methodological · 141

Some Properties of the `Hermite' Distribution

1965 · C. D. KEMP, A. W. KEMP · Biometrika · 132

Random Number Generators

2003 · George Marsaglia · Journal of Modern Applied Statistical Methods · 129

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Negative Moments of Positive Random Variables

1972 · M. T. Chao, W. E. Strawderman · Journal of the American Statistical Association · 128

Use of Lagrange Expansion for Generating Discrete Generalized Probability Distributions

1972 · P. C. Consul, L. R. Shenton · SIAM Journal on Applied Mathematics · 126

The Galton-Watson Process with Mean One and Finite Variance

1966 · H. Kesten, P. Ney, et al. · Theory of Probability and Its Applications · 124

Works count: 3,494

Citation count: 30,880