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 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.

• 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