A Two Parameter Discrete Lindley Distribution
In this article we have proposed and discussed a two parameter discrete Lindley distribution. The derivation of this new model is based on a two step methodology i.e. mixing then discretizing, and can be viewed as a new generalization of geometric distribution. The proposed model has proved itself a...
- Autores:
-
Aslam, Muhammad
Ahmad, Munir
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2016
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66522
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66522
http://bdigital.unal.edu.co/67550/
- Palabra clave:
- 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Characterization
Discretized version
Estimation
Geometric distribution
Mean residual life
Mixture
Negative moments
Caracterización
Estimación
Distribución Geométrica
Momentos negativos
Mixtura
Versión discretizada
Vida media residual
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | In this article we have proposed and discussed a two parameter discrete Lindley distribution. The derivation of this new model is based on a two step methodology i.e. mixing then discretizing, and can be viewed as a new generalization of geometric distribution. The proposed model has proved itself as the least loss of information model when applied to a number of data sets (in an over and under dispersed structure). The competing models such as Poisson, Negative binomial, Generalized Poisson and discrete gamma distributions are the well known standard discrete distributions. Its Lifetime classification, kurtosis, skewness, ascending and descending factorial moments as well as its recurrence relations, negative moments, parameters estimation via maximum likelihood method, characterization and discretized bi-variate case are presented. |
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