Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/42920
Title: Parameters estimation for a new generalized geometric distribution
Authors: Gómez Déniz, Emilio 
Calderín Ojeda, Enrique
UNESCO Clasification: 1207 Investigación operativa
Keywords: Distribución
Issue Date: 2015
Publisher: 0361-0918
Journal: Communications in Statistics Part B: Simulation and Computation 
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.
URI: http://hdl.handle.net/10553/42920
ISSN: 0361-0918
DOI: 10.1080/03610918.2013.835410
Source: Communications in Statistics: Simulation and Computation[ISSN 0361-0918],v. 44, p. 2023-2029
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