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- Publisher Website: 10.1214/15-AOS1330
- Scopus: eid_2-s2.0-84941211154
- PMID: 26283801
- WOS: WOS:000362697700003
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Article: Fused kernel-spline smoothing for repeatedly measured outcomes in a generalized partially linear model with functional single index
Title | Fused kernel-spline smoothing for repeatedly measured outcomes in a generalized partially linear model with functional single index |
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Authors | |
Keywords | B-spline Generalized linear model Huntington's disease Infinite dimension Logistic model |
Issue Date | 2015 |
Publisher | Institute of Mathematical Statistics. |
Citation | The Annals of Statistics, 2015, v. 43 n. 5, p. 1929-1958 How to Cite? |
Abstract | We propose a generalized partially linear functional single index risk score model for repeatedly measured outcomes where the index itself is a function of time. We fuse the nonparametric kernel method and regression spline method, and modify the generalized estimating equation to facilitate estimation and inference. We use local smoothing kernel to estimate the unspecified coefficient functions of time, and use B-splines to estimate the unspecified function of the single index component. The covariance structure is taken into account via a working model, which provides valid estimation and inference procedure whether or not it captures the true covariance. The estimation method is applicable to both continuous and discrete outcomes. We derive large sample properties of the estimation procedure and show different convergence rate of each component of the model. The asymptotic properties when the kernel and regression spline methods are combined in a nested fashion has not been studied prior to this work even in the independent data case. |
Persistent Identifier | http://hdl.handle.net/10722/236342 |
ISSN | 2023 Impact Factor: 3.2 2023 SCImago Journal Rankings: 5.335 |
PubMed Central ID | |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Jiang, F | - |
dc.contributor.author | Ma, Y | - |
dc.contributor.author | Wang, Y | - |
dc.date.accessioned | 2016-11-24T01:05:43Z | - |
dc.date.available | 2016-11-24T01:05:43Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | The Annals of Statistics, 2015, v. 43 n. 5, p. 1929-1958 | - |
dc.identifier.issn | 0090-5364 | - |
dc.identifier.uri | http://hdl.handle.net/10722/236342 | - |
dc.description.abstract | We propose a generalized partially linear functional single index risk score model for repeatedly measured outcomes where the index itself is a function of time. We fuse the nonparametric kernel method and regression spline method, and modify the generalized estimating equation to facilitate estimation and inference. We use local smoothing kernel to estimate the unspecified coefficient functions of time, and use B-splines to estimate the unspecified function of the single index component. The covariance structure is taken into account via a working model, which provides valid estimation and inference procedure whether or not it captures the true covariance. The estimation method is applicable to both continuous and discrete outcomes. We derive large sample properties of the estimation procedure and show different convergence rate of each component of the model. The asymptotic properties when the kernel and regression spline methods are combined in a nested fashion has not been studied prior to this work even in the independent data case. | - |
dc.language | eng | - |
dc.publisher | Institute of Mathematical Statistics. | - |
dc.relation.ispartof | The Annals of Statistics | - |
dc.subject | B-spline | - |
dc.subject | Generalized linear model | - |
dc.subject | Huntington's disease | - |
dc.subject | Infinite dimension | - |
dc.subject | Logistic model | - |
dc.title | Fused kernel-spline smoothing for repeatedly measured outcomes in a generalized partially linear model with functional single index | - |
dc.type | Article | - |
dc.identifier.email | Jiang, F: feijiang@hku.hk | - |
dc.identifier.authority | Jiang, F=rp02185 | - |
dc.description.nature | link_to_OA_fulltext | - |
dc.identifier.doi | 10.1214/15-AOS1330 | - |
dc.identifier.pmid | 26283801 | - |
dc.identifier.pmcid | PMC4536976 | - |
dc.identifier.scopus | eid_2-s2.0-84941211154 | - |
dc.identifier.volume | 43 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 1929 | - |
dc.identifier.epage | 1958 | - |
dc.identifier.isi | WOS:000362697700003 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0090-5364 | - |