| dc.contributor | Correa Morales, Juan Carlos | |
| dc.creator | Obando Arbeláez, Cristian Daniel | |
| dc.date.accessioned | 2021-02-24T14:55:57Z | |
| dc.date.available | 2021-02-24T14:55:57Z | |
| dc.date.created | 2021-02-24T14:55:57Z | |
| dc.date.issued | 2020-12-22 | |
| dc.identifier | Obando, C. D., Estimación del parámetro λ y del número de ceros n0 de la distribución Poisson Truncada en cero. Universidad Nacional de Colombia, Medellín (Colombia) | |
| dc.identifier | https://repositorio.unal.edu.co/handle/unal/79292 | |
| dc.description.abstract | La distribución Poisson Truncada en cero tiene múltiples aplicaciones en problemas de
conteo. Por ejemplo, cuando se desea estimar el número de personas que han tenido, o
tienen, problemas de adicción, se cuenta únicamente con información del número de ingresos
de cada individuo y se desconoce el número de consumidores que no han ingresado a los
centros de rehabilitación. En este trabajo se proponen diferentes estimadores puntuales y por
intervalos para el parámetro λ y el número de ceros n0 de la distribución Poisson Truncada
en cero. Los estimadores puntuales y los intervalos son construidos mediante técnicas propias
de la estadística clásica y bayesiana. Estos estimadores son comparados en conjunto con
los encontrados en la literatura mediante simulación utilizando el software estadístico R.
Se encontró que entre los estimadores puntuales el mejor es el de máxima verosimilitud
modificada. En cuanto a los estimadores por intervalo el que tiene mayor probabilidad de
cobertura fue el propuesto por Vélez and Correa (2013), no obstante el algoritmo para calcular
este estimador fracasa con tamaños de muestra grandes, en este caso se prefieren el intervalo
de confianza exacto o el de verosimilitud. | |
| dc.description.abstract | The Poisson Truncated at Zero distribution has multiple applications in counting problems. For example, when you want to estimate the number of people who have had, or are
having, addiction problems, you count only information on the number of incomes of each
individual and you do not know the number of consumers who have not been admitted to
rehabilitation centers. This paper proposes different point and interval estimators for the λ
parameter and the number of zeros n0 in the Poisson Truncated at Zero distribution. The
point estimators and the intervals are constructed using classical and Bayesian statistical
techniques. These estimators are compared in conjunction with those found in the literature
through simulation using R statistical software. It was found that among the point estimators
the best is the modified maximum likelihood one. As for the interval estimators, the one with
the highest coverage probability was proposed by Vélez and Correa (2013), but the algorithm for calculating this estimator fails with large sample sizes. | |
| dc.language | spa | |
| dc.publisher | Medellín - Ciencias - Maestría en Ciencias - Estadística | |
| dc.publisher | Escuela de estadística | |
| dc.publisher | Universidad Nacional de Colombia - Sede Medellín | |
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| dc.rights | Atribución-NoComercial 4.0 Internacional | |
| dc.rights | Acceso abierto | |
| dc.rights | http://creativecommons.org/licenses/by-nc/4.0/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | Derechos reservados - Universidad Nacional de Colombia | |
| dc.title | Estimación del parámetro λ y del número de ceros n0 de la distribución Poisson Truncada en cero | |
| dc.type | Otro | |
