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Author:

Li, Y. (Li, Y..) | Li, G. (Li, G..) (Scholars:李港) | Tong, T. (Tong, T..)

Indexed by:

Scopus

Abstract:

In this paper, we study ultra-high-dimensional partially linear models when the dimension of the linear predictors grows exponentially with the sample size. For the variable screening, we propose a sequential profile Lasso method (SPLasso) and show that it possesses the screening property. SPLasso can also detect all relevant predictors with probability tending to one, no matter whether the ultra-high models involve both parametric and nonparametric parts. To select the best subset among the models generated by SPLasso, we propose an extended Bayesian information criterion (EBIC) for choosing the final model. We also conduct simulation studies and apply a real data example to assess the performance of the proposed method and compare with the existing method. © 2017, © East China Normal University 2017.

Keyword:

extended Bayesian information criterion; partially linear model; screening property; Sequential profile Lasso; ultra-high-dimensional data

Author Community:

  • [ 1 ] [Li, Y.]College of Applied Sciences, Beijing University of Technology, Beijing, China
  • [ 2 ] [Li, Y.]Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing, China
  • [ 3 ] [Li, G.]Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing, China
  • [ 4 ] [Tong, T.]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

Reprint Author's Address:

  • 李港

    [Li, G.]Beijing Institute for Scientific and Engineering Computing, Beijing University of TechnologyChina

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Source :

Statistical Theory and Related Fields

ISSN: 2475-4269

Year: 2017

Issue: 2

Volume: 1

Page: 234-245

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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