Gould series distributions with applications to fluctuations of sums of random variables
From MaRDI portal
Publication:1078939
DOI10.1016/0378-3758(86)90005-4zbMath0596.62011OpenAlexW2047664424MaRDI QIDQ1078939
Publication date: 1986
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0378-3758(86)90005-4
probability generating functioncharacterizationfactorial momentsexchangeable random variablesGould polynomialsgeneralized binomialgeneralized negative binomialGould series distributions
Factorials, binomial coefficients, combinatorial functions (05A10) Queueing theory (aspects of probability theory) (60K25) Characterization and structure theory of statistical distributions (62E10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The umbral calculus
- The stochastic law of the busy period for a single-server queue with Poisson input
- A distribution analogous to the Borel-Tanner
- A Generalization of the Ballot Problem and its Application in the Theory of Queues
- Some Remarks on Generalizations of the Negative Binomial and Poisson Distributions
- A note on the connection between factorial series distribution and zero-truncated power series distribution
- A new urn model with predetermined strategy
- A Generalization of Markov-Polya Distribution its Extensions and Applications
- On a Generalised Two‐Coin Tossing Problem
- Poisson recurrence times
- Use of Lagrange Expansion for Generating Discrete Generalized Probability Distributions
- A Generalized Negative Binomial Distribution
- Congruences Involving Sums of Binomial Coefficients and a Formula of Jensen