Published
2007-01-01
ESTIMACIÓN POR INTERVALO DEL PARÁMETRO DE LA DISTRIBUCIÓN DE POISSON CON UNA SOLA OBSERVACIÓN
INTERVAL ESTIMATION FOR THE POISSON DISTRIBUTION PARAMETER WITH A SINGLE OBSERVATION
Keywords:
estimación, intervalo de confianza, tamaño de muestra pequeño, teorema central del límite, razón de verosimilitud (es)Estimation, Confidence interval, Small sample size, Central limit theorem, Likelihood ratio (en)
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La estimación del parámetro de la distribución de Poisson, digamos λ, es un problema importante en el trabajo estadístico aplicado. En muchas ocasiones solo disponemos de un único dato para construir un intervalo de confianza. Se muestra cuándo se pueden construir intervalos de confianza basados en el teorema central del límite, el método exacto y la razón de verosimilitud cuando se tiene una sola observación. Se ilustra este caso construyendo un intervalo para la tasa de suicidios en Colombia.
The estimation of the parameter of the Poisson distribution, say λ, is an important task in applied statistics. Frequently we only have available a single observation and our goal is to construct a confidence interval. We illustrate under what conditions we can construct a confidence interval based on three methods: central limit theorem, exact method, and the likelihood ratio method. We also illustrate this problem constructing a confidence interval for the rate of suicides in Colombia.
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How to Cite
Correa, J. C. (2007). INTERVAL ESTIMATION FOR THE POISSON DISTRIBUTION PARAMETER WITH A SINGLE OBSERVATION. Revista Colombiana De Estadística, 30(1), 69-75. https://revistas.unal.edu.co/index.php/estad/article/view/29320
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Copyright (c) 2007 Revista Colombiana de Estadística
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