Inferencia estatística con datos truncados
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[GL] Este traballo está centrado nos métodos estatísticos para a análise de datos truncados.
Comezouse introducindo a relación que existe entre a distribución orixinal e a distribución
truncada dunha poboación, creando unha serie de estimadores que permiten estimar características
da poboación total a partir dunha mostra observable. Fíxose un estudo destes
estimadores, indicando as súas propiedades principais. Ao longo de todo o traballo foise
ilustrando con exemplos cada método que se presentaba, aparecendo, nun segundo capítulo,
simulacións feitas en ℜ coas súas respectivas análises. Ao final do traballo podemos
atoparnos cun apéndice no cal se introducen conceptos básicos de supervivencia e as liñas
de código de ℜ que foron usadas nas simulacións.
[EN] This project is focused on the statistical methods for the analysis of truncated data. It starts by introducing the relation that exists between the original distribution and the truncated distribution of a population, creating a series of estimators which allow estimating characteristics of the total population from an observable sample. We made a study of these estimators, indicating their main properties. Throughout the project, each method that was presented was illustrated with examples, appearing, in a second chapter, simulations made in ℜ with their respective analyzes. At the end of the work we can find an appendix in which basic survival concepts and the lines of ℜ code that were used in the simulations are introduced.
[EN] This project is focused on the statistical methods for the analysis of truncated data. It starts by introducing the relation that exists between the original distribution and the truncated distribution of a population, creating a series of estimators which allow estimating characteristics of the total population from an observable sample. We made a study of these estimators, indicating their main properties. Throughout the project, each method that was presented was illustrated with examples, appearing, in a second chapter, simulations made in ℜ with their respective analyzes. At the end of the work we can find an appendix in which basic survival concepts and the lines of ℜ code that were used in the simulations are introduced.
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Traballo Fin de Grao en Matemáticas. Curso 2019-2020
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