1Institución Educativa Técnico San Juan Bautista, Ciencias Naturales, Nariño, Colombia. Profesor. Email: lamunozbe@.unal.edu.co
2Universidad Nacional de Colombia, Facultad de Ciencias, Departamento de Estadística, Bogotá, Colombia. Profesor asociado. Email: jhmayorgaa@unal.edu.co
Proponemos una estadística para evaluar la bondad de ajuste, donde se emplearon las funciones generatrices de momentos muestral y poblacional; a partir de la información considerada se encontró que la estadística Gn tuvo un comportamiento diferente de acuerdo con el modelo usado para el ajuste. Su desempeño fue superior o igual a la estadística de Pearson, pero fue superada por la estadística de K-S; además, para la estadística evaluada no fue influyente el tamaño de la muestra.
Palabras clave: bondad de ajuste, función generadora de momentos, simulación.
We propose a statistic to evaluate the goodness-of-fit where we used the empirical moment generating function and the moment generating function, from the considered information it found that the Gn statistic was different behavior according to the used model for the fitting. Its behavior was great or similar to the Pearson statistics, but it was exceeded for the K-S statistic, also for the evaluated statistic was not influential to the sample size.
Key words: Goodness-of-fit, Moment generating function, Simulation.
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Referencias
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCEv33n1a07,
AUTHOR = {Muñoz, Luis Alfonso and Mayorga, Jorge Humberto},
TITLE = {{Bondad de ajuste empleando la función generadora demomentos}},
JOURNAL = {Revista Colombiana de Estadística}, ]]>
YEAR = {2010},
volume = {33},
number = {1},
pages = {111-125}
}