Report
Functional linear model with partially observed covariate and missing values in the response.
| العنوان: | Functional linear model with partially observed covariate and missing values in the response. |
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| المؤلفون: | Crambes, Christophe, Daayeb, Chayma, Gannoun, Ali, Henchiri, Yousri |
| المساهمون: | Institut de Mathématiques et de Modélisation de Montpellier (I3M), Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Université de Tunis El Manar (UTM), Université de la Manouba, ISAMM, Tunisie. |
| المصدر: | https://hal.science/hal-03083293 ; 2022. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2022 |
| المجموعة: | Université de Montpellier: HAL |
| مصطلحات موضوعية: | Functional linear model, Missing data, Functional Principal Components, Missing At Random, Missing Completely At Random, Regression imputation, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] |
| الوصف: | Dealing with missing values is an important issue in data observation or data recording process. In this paper, we consider a functional linear regression model with partially observed covariate and missing values in the response. We use a reconstruction operator that aims at recovering the missing parts of the explanatory curves, then we are interested in regression imputation method of missing data on the response variable, using functional principal component regression to estimate the functional coefficient of the model. We study the asymptotic behavior of the prediction error when missing data are replaced by the imputed values in the original dataset. The practical behavior of the method is also studied on simulated data and a real dataset. |
| نوع الوثيقة: | report |
| اللغة: | English |
| Relation: | hal-03083293; https://hal.science/hal-03083293; https://hal.science/hal-03083293v3/document; https://hal.science/hal-03083293v3/file/manuscrit.pdf |
| الاتاحة: | https://hal.science/hal-03083293 https://hal.science/hal-03083293v3/document https://hal.science/hal-03083293v3/file/manuscrit.pdf |
| Rights: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.825C9F24 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |