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In this paper we construct simultaneous confidence bands for a smooth curve using penalized spline estimators. We consider three types of estimation methods: (i) as a standard (fixed effect) nonparametric model, (ii) using the mixed model framework with the spline coefficients as random effects...
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We consider semiparametric estimation in time series regression in the presence of long range dependence in both the … errors and the stochastic regressors. A central limit theorem is established for a class of semiparametric frequency domain … squares as special cases. The estimates are semiparametric in the sense that focus is on the neighborhood of the origin, and …
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In spite of the widespread use of generalized additive models (GAMs), there is no well established methodology for simultaneous inference and variable selection for the components of GAM. There is no doubt that both, inference on the marginal component functions and their selection, are...
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