On doubly robust estimation in a semiparametric odds ratio model

We consider the doubly robust estimation of the parameters in a semiparametric conditional odds ratio model. Our estimators are consistent and asymptotically normal in a union model that assumes either of two variation independent baseline functions is correctly modelled but not necessarily both. Fu...

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Detalles Bibliográficos
Autores principales: Tchetgen Tchetgen, E.J., Robins, J.M., Rotnitzky, A.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00063444_v97_n1_p171_TchetgenTchetgen
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spelling todo:paper_00063444_v97_n1_p171_TchetgenTchetgen2023-10-03T14:05:01Z On doubly robust estimation in a semiparametric odds ratio model Tchetgen Tchetgen, E.J. Robins, J.M. Rotnitzky, A. Doubly robust Generalized odds ratio Locally efficient Semiparametric logistic regression We consider the doubly robust estimation of the parameters in a semiparametric conditional odds ratio model. Our estimators are consistent and asymptotically normal in a union model that assumes either of two variation independent baseline functions is correctly modelled but not necessarily both. Furthermore, when either outcome has finite support, our estimators are semiparametric efficient in the union model at the intersection submodel where both nuisance functions models are correct. For general outcomes, we obtain doubly robust estimators that are nearly efficient at the intersection submodel. Our methods are easy to implement as they do not require the use of the alternating conditional expectations algorithm of Chen (2007). 2009 Biometrika Trust. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00063444_v97_n1_p171_TchetgenTchetgen
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Doubly robust
Generalized odds ratio
Locally efficient
Semiparametric logistic regression
spellingShingle Doubly robust
Generalized odds ratio
Locally efficient
Semiparametric logistic regression
Tchetgen Tchetgen, E.J.
Robins, J.M.
Rotnitzky, A.
On doubly robust estimation in a semiparametric odds ratio model
topic_facet Doubly robust
Generalized odds ratio
Locally efficient
Semiparametric logistic regression
description We consider the doubly robust estimation of the parameters in a semiparametric conditional odds ratio model. Our estimators are consistent and asymptotically normal in a union model that assumes either of two variation independent baseline functions is correctly modelled but not necessarily both. Furthermore, when either outcome has finite support, our estimators are semiparametric efficient in the union model at the intersection submodel where both nuisance functions models are correct. For general outcomes, we obtain doubly robust estimators that are nearly efficient at the intersection submodel. Our methods are easy to implement as they do not require the use of the alternating conditional expectations algorithm of Chen (2007). 2009 Biometrika Trust.
format JOUR
author Tchetgen Tchetgen, E.J.
Robins, J.M.
Rotnitzky, A.
author_facet Tchetgen Tchetgen, E.J.
Robins, J.M.
Rotnitzky, A.
author_sort Tchetgen Tchetgen, E.J.
title On doubly robust estimation in a semiparametric odds ratio model
title_short On doubly robust estimation in a semiparametric odds ratio model
title_full On doubly robust estimation in a semiparametric odds ratio model
title_fullStr On doubly robust estimation in a semiparametric odds ratio model
title_full_unstemmed On doubly robust estimation in a semiparametric odds ratio model
title_sort on doubly robust estimation in a semiparametric odds ratio model
url http://hdl.handle.net/20.500.12110/paper_00063444_v97_n1_p171_TchetgenTchetgen
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AT robinsjm ondoublyrobustestimationinasemiparametricoddsratiomodel
AT rotnitzkya ondoublyrobustestimationinasemiparametricoddsratiomodel
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