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Optimal Smoothing in Single-Index Models
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Hidehiko Ichimura, Wolfgang Härdle
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A Functional Single Index Model
Statistica Sinica, 2020Summary: We propose a semiparametric functional single-index model for studying the relationship between a univariate response and multiple functional covariates. The parametric part of the model integrates a functional linear regression model and a sufficient dimension-reduction structure.
Jiang, Fei +3 more
openaire +2 more sources
Estimation for single-index and partially linear single-index integrated models
Published at http://dx.doi.org/10.1214/15-AOS1372 in the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Jití Gao +2 more
exaly +4 more sources
Varying-coefficient single-index model
Computational Statistics & Data Analysis, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heung Wong, Wai-Cheung Ip, Riquan Zhang
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2004
A single index model (SIM) summarizes the effects of the explanatory variables X1, ..., Xd within a single variable called the index. As stated at the beginning of Part II, the SIM is one possibility for generalizing the GLM or for restricting the multidimensional regression E(Y|X) to overcome the curse of dimensionality and the lack of ...
Wolfgang Härdle +3 more
openaire +1 more source
A single index model (SIM) summarizes the effects of the explanatory variables X1, ..., Xd within a single variable called the index. As stated at the beginning of Part II, the SIM is one possibility for generalizing the GLM or for restricting the multidimensional regression E(Y|X) to overcome the curse of dimensionality and the lack of ...
Wolfgang Härdle +3 more
openaire +1 more source
Estimation for the single-index models with random effects
Computational Statistics and Data Analysis, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liugen Xue, Zhen Pang
exaly +4 more sources
Estimation of a Functional Single Index Model
2011Single index models have been mostly studied as an alternative dimension reduction technique for nonparametric regression with multivariate covariates. The index parameter appearing in the model summarizes the effect of the covariates in a finite dimensional vector.
Ferraty, Frédéric +2 more
openaire +3 more sources

