A simultaneous confidence corridor for varying coefficient regression with sparse functional data

Lijie Gu, Li Wang, Wolfgang Härdle and Lijian Yang

No 2014-002, SFB 649 Discussion Papers from Humboldt University Berlin, Collaborative Research Center 649: Economic Risk

Abstract: We consider a varying coefficient regression model for sparse functional data, with time varying response variable depending linearly on some time independent covariates with coefficients as functions of time dependent covariates. Based on spline smoothing, we propose data driven simultaneous confidence corridors for the coefficient functions with asymptotically correct confidence level. Such confidence corridors are useful benchmarks for statistical inference on the global shapes of coefficient functions under any hypotheses. Simulation experiments corroborate with the theoretical results. An example in CD4/HIV study is used to illustrate how inference is made with computable p-values on the effects of smoking, preinfection CD4 cell percentage and age on the CD4 cell percentage of HIV infected patients under treatment.

Keywords: B spline; confidence corridor; Karhunen-Loève L2 representation; knots; functional data; varying coefficient (search for similar items in EconPapers)
JEL-codes: C14 C23 (search for similar items in EconPapers)
Date: 2014
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Journal Article: A simultaneous confidence corridor for varying coefficient regression with sparse functional data (2014)
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