Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Modeling environmental data by functional principal component logistic regression
10.1002/env.696.abs
In recent years, many studies have dealt with predicting a response variable based on the information provided by a functional variable. When the response variable is binary, different problems arise, such as multicollinearity and high dimensionality, which prejudice the estimation of the model and the interpretation of its parameters. In this article we address these problems by using functional logistic regression and principal component analysis. In order to obtain a unique solution for the maximum likelihood estimation of the parameter function, quasi‐natural cubic spline interpolation of sample paths on their discrete time observations is proposed. We also introduce a new interpretation of the relationship between the response variable and the functional predictor where the change in the odds of success is evaluated from the estimated parameter function. An analysis of climatological data is finally presented to illustrate the practical performance of the proposed methodologies. Copyright © 2004 John Wiley & Sons, Ltd.
Modeling environmental data by functional principal component logistic regression
10.1002/env.696.abs
In recent years, many studies have dealt with predicting a response variable based on the information provided by a functional variable. When the response variable is binary, different problems arise, such as multicollinearity and high dimensionality, which prejudice the estimation of the model and the interpretation of its parameters. In this article we address these problems by using functional logistic regression and principal component analysis. In order to obtain a unique solution for the maximum likelihood estimation of the parameter function, quasi‐natural cubic spline interpolation of sample paths on their discrete time observations is proposed. We also introduce a new interpretation of the relationship between the response variable and the functional predictor where the change in the odds of success is evaluated from the estimated parameter function. An analysis of climatological data is finally presented to illustrate the practical performance of the proposed methodologies. Copyright © 2004 John Wiley & Sons, Ltd.
Modeling environmental data by functional principal component logistic regression
Escabias, M. (Autor:in) / Aguilera, A. M. (Autor:in) / Valderrama, M. J. (Autor:in)
Environmetrics ; 16 ; 95-107
01.02.2005
13 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Modeling environmental data by functional principal component logistic regression
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