Bibliographic citations
Stehli, H., (2024). Estimación de áreas pequeñas mediante modelos aditivos de ubicación, escala y forma aplicados a una encuesta de hogares en Perú [Pontificia Universidad Católica del Perú]. http://hdl.handle.net/20.500.12404/28556
Stehli, H., Estimación de áreas pequeñas mediante modelos aditivos de ubicación, escala y forma aplicados a una encuesta de hogares en Perú []. PE: Pontificia Universidad Católica del Perú; 2024. http://hdl.handle.net/20.500.12404/28556
@mastersthesis{renati/23220,
title = "Estimación de áreas pequeñas mediante modelos aditivos de ubicación, escala y forma aplicados a una encuesta de hogares en Perú",
author = "Stehli Torrecilla, Hans",
publisher = "Pontificia Universidad Católica del Perú",
year = "2024"
}
The objective of this thesis is to evaluate the robustness of additive models of location, scale and shape (GAMLSS), under the framework of small area estimation. To do this, statistical simulations are carried out for different distributions of the dependent variable, considering different levels of variability between areas and analyzing the precision of the results in each case. Likewise, an application is carried out using the National Household Survey of Peru (ENAHO) from 2017 to obtain household infrastructure indicators and their confidence intervals at the district level for the department of Ica. These estimations were later compared to their population values, retrieved from the National Census of the same year. The results reveal that the indicators obtained through GAMLSS have a lower mean square error than those estimated directly by considering the sample design. Likewise, it is found that the GAMLSS generate more accurate results with respect to population values, although this depends on the heterogeneity of the areas. This finding is consistent even under the assumption of a dichotomous (balanced or unbalanced) or numerical (discrete or continuous) dependent variable. Likewise, these benefits are more evident if the sample size of the areas is small. Finally, through the application, point estimates and confidence intervals have been obtained for indicators of access to sanitation and number of rooms of the households, corresponding to 37 districts of the department of Ica.
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