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Persistent link: https://www.econbiz.de/10014448453
In this paper a new mixing condition for sequences of random variables is considered. This mixing condition is termed … ã-mixing. Whereas mixing conditions such as á-mixing are typically defined in terms of entire ó-fields of sets … generated by random variables in the distant past and future, ã-mixing is defined in terms of a smaller class of sets: the …
Persistent link: https://www.econbiz.de/10005047803
Many clustering techniques aim at optimizing empirical criteria that are of the form of a U-statistic of degree two. Given a measure of dissimilarity between pairs of observations, the goal is to minimize the within cluster point scatter over a class of partitions of the feature space. It is the...
Persistent link: https://www.econbiz.de/10010737759
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Nonparametric methods for the estimation of the Levy density of a Levy process X are developed. Estimators that can be writtenin terms of the "jumps" of X are introduced, and so are discrete-data based approximations. A model selection approach made up oftwo steps is investigated. The first step...
Persistent link: https://www.econbiz.de/10009475806
Model selection methods and nonparametric estimation of Levy densities are presented. The estimation relies on the properties of Levy processes for small time spans, on the nature of the jumps of the process, and on methods of estimation for spatial Poisson processes. Given a linear space S of...
Persistent link: https://www.econbiz.de/10009475888
We consider a high-dimensional regression model with a possible change-point due to a covariate threshold and develop the Lasso estimator of regression coefficients as well as the threshold parameter. Our Lasso estimator not only selects covariates but also selects a model between linear and...
Persistent link: https://www.econbiz.de/10011282656
We consider a high-dimensional regression model with a possible change-point due to a covariate threshold and develop the Lasso estimator of regression coefficients as well as the threshold parameter. Our Lasso estimator not only selects covariates but also selects a model between linear and...
Persistent link: https://www.econbiz.de/10010358938
Although the Lasso has been extensively studied, the relationship between its prediction performance and the correlations of the covariates is not fully understood. In this paper, we give new insights into this relationship in the context of multiple linear regression. We show, in particular,...
Persistent link: https://www.econbiz.de/10010814358
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