Name
Abstract | ||
|---|---|---|
A generalization of the geometric distribution is obtained after mixing the Poisson distribution with the generalized exponential distribution in Marshall and Olkin in 1997. The discrete distribution is defined through a new special function also introduced in this manuscript. Unimodality is highlighted among the properties of this two-parameter distribution. A favorable maximum likelihood parameter estimation scheme for the discrete distribution is introduced based on a quadrature method by approximating the special function by the trapezoidal rule. The effectiveness of the method is confirmed by expectation-maximization (EM) algorithm. An application to explain the demand for health services is given. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1080/03610918.2013.835410 | COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION |
Keywords | Field | DocType |
Covariate,EM algorithm,Generalized exponential distribution,Geometric distribution,Health services,Mixed Poisson distributions,Special function,62F10,62E17,62F07 | Compound Poisson distribution,Econometrics,Unimodality,Log-Cauchy distribution,Generalized integer gamma distribution,Distribution fitting,Univariate distribution,Exponential distribution,Half-normal distribution,Statistics,Mathematics | Journal |
Volume | Issue | ISSN |
44 | 8 | 0361-0918 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Emilio Gómez-Déniz | 1 | 4 | 3.59 |
| enrique calderinojeda | 2 | 0 | 1.01 |