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Revista Colombiana de Estadística
versión impresa ISSN 0120-1751
Rev.Colomb.Estad. vol.39 no.1 Bogotá ene./jun. 2016
1King Saud University, College of Sciences, Department of Statistics and Operations Research, Riyadh, Saudi Arabia. Assistant Professor. Email: maomair@ksu.edu.sa
2King Saud University, College of Sciences, Department of Statistics and Operations Research, Riyadh, Saudi Arabia. Professor. Email: Alzaid@ksu.edu.sa
3Prince Sattam Bin Abdulaziz University, College of Sciences and Humanities, Department of Mathematics, Hotat Bani Tamim, Saudi Arabia. Assistant Professor. Email: o.odhah@psau.edu.sa
A trinomial difference distribution is defined and its distributional properties are illustrated. This distribution present the binomial difference distribution as a special case. The moment estimators and maximum likelihood estimators of the trinomial difference distribution are compared via simulation study. Two applications are modeled with the trinomial difference distribution and compared with other possible distributions.
Key words: Binomial Distribution, Discrete Distribution, Maximum Likelihood Estimate, Moment Estimate, Poisson Distribution, Trinomial Distribution.
Una distribución de diferencia trinomial se define en este artículo así como sus propiedades distribucionales. Esta distribución cuenta con la distribución de diferencia binomial como un caso particular. Los estimadores de momentos y de máxima verosimilitud son comparados vía un estudio de simulación. Dos aplicaciones son modelados con la distribución diferencia trinomial y se comparan con otras distribuciones posibles.
Palabras clave: distribución binomial, distribución discretos, estimación de máxima verosimilitud, momento estimar, distribución de Poisson, distribución binomial.
Texto completo disponible en PDF
References
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCEv39n1a01,
AUTHOR = {A. Omair, Maha and Alzaid, Abdulhamid and Odhah, Omalsad},
TITLE = {{A Trinomial Difference Distribution}},
JOURNAL = {Revista Colombiana de Estadística},
YEAR = {2016},
volume = {39},
number = {1},
pages = {1-15}
}