Published

2016-01-01

A Trinomial Difference Distribution

Una distribución de diferencia trinomial

DOI:

https://doi.org/10.15446/rce.v39n1.55131

Keywords:

Binomial Distribution, Discrete Distribution, Maximum Likelihood Estimate, Moment Estimate, Poisson Distribution, Trinomial Distribution (en)
Distribución binomial, Distribución discretos, Estimación de máxima verosimilitud, Momento estimar, Distribución de Poisson, Distribución binomial. (es)

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Authors

  • Maha A. Omair King Saud University, Riyadh, Saudi Arabia
  • Abdulhamid Alzaid King Saud University, Riyadh, Saudi Arabia
  • Omalsad Odhah Prince Sattam Bin Abdulaziz University, Hotat Bani Tamim, Saudi Arabia

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.

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.

References

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Skellam, J. G. (1946), ‘The frequency distribution of the difference between two poisson variates belonging to different populations’, Journal of the Royal Statistical Society. Series A 109(3), 296.

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How to Cite

A Trinomial Difference Distribution. (2016). Revista Colombiana De Estadística, 39(1), 1-15. https://doi.org/10.15446/rce.v39n1.55131

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