ON THE UNIMODALITY OF THE GENERALIZED NEGATIVE BINOMIAL DISTRIBUTION
- 1 September 1986
- journal article
- Published by Wiley in Statistica Neerlandica
- Vol. 40 (3) , 141-144
- https://doi.org/10.1111/j.1467-9574.1986.tb01510.x
Abstract
It is shown that the generalized negative binomial distribution which is useful in random walks, queueing theory and branching processes is unimodal. When nθ(1 –θ)β‐1 > 1, the mode is not at the pointx= 0 and for that case, the lower and the upper bounds of the mode are obtained.Keywords
This publication has 7 references indexed in Scilit:
- ON THE UNIMODALITY OF GENERALIZED POISSON DISTRIBUTIONStatistica Neerlandica, 1986
- The Generalized Negative Binomial Distribution and its Characterization by Zero RegressionSIAM Journal on Applied Mathematics, 1980
- Discrete Analogues of Self-Decomposability and StabilityThe Annals of Probability, 1979
- Plausibility InferenceJournal of the Royal Statistical Society Series B: Statistical Methodology, 1976
- Nonparametric Probability Density Estimation: I. A Summary of Available MethodsTechnometrics, 1972
- Nonparametric Probability Density Estimation: I. A Summary of Available MethodsTechnometrics, 1972
- A Generalized Negative Binomial DistributionSIAM Journal on Applied Mathematics, 1971