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Modelos de regresión aditivos

Authors: Ramallo Blanco, Marina;

Modelos de regresión aditivos

Abstract

En muchas situaciones es de interés poder representar la relación de dependencia entre una variable respuesta y una o varias variables explicativas. Con este propósito introducimos los modelos de regresión. En una primera aproximación, lo más intuitivo es plantear un modelo de regresión paramétrico, es decir, que la forma del modelo sea totalmente conocida salvo por un cierto vector de parámetros, como es el caso de los modelos de regresión lineales. Sin embargo, en la práctica estos modelos no siempre ajustan bien la relación entre las variables que queremos representar, por lo que debemos recurrir a otro tipo de relaciones que nos den una mayor flexibilidad. En este contexto proponemos los modelos de regresión aditivos. Los modelos de regresión aditivos son modelos no paramétricos, por lo que son muy flexibles, pero a la vez su formulación nos permite interpretar el efecto que tiene cada una de las variables explicativas sobre la variable respuesta. A lo largo de este manuscrito se presentarán métodos de estimación de los modelos aditivos (usando ideas de mínimos cuadrados) prestando especial interés a la elección de los parámetros de suavizado, como en cualquier modelo no paramétrico. Finalmente, se ilustrará la utilidad de los modelos aditivos empleando una base de datos reales

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green