Goodness-of-fit tests for the functional linear model with scalar response with responses missing at random
M. Febrero-Bande, P. Galeano San Miguel, E. García Portugués, W. González-Manteiga
We construct goodness-of-fit tests for the Functional Linear Model with Scalar Response (FLMSR) when some of the responses are Missing At Random (MAR). For that, we extend two existing testing procedures for the case where all the responses have been observed to the MAR case. Each testing procedure gives rise to two statistics based on two marked empirical processes indexed by the randomly projected functional covariate that depend on a proper estimate of the functional slope of the FLMSR. The statistics are relatively easy to compute and their distributions under the null hypothesis are simple to calibrate based on wild bootstrap procedures. The behaviour of the resulting testing procedures are compared by means of an extensive simulation study. Additionally, they are applied to two real data sets for checking whether the linear hypothesis holds.
Keywords: Functional linear model, Functional principal components, Goodness-of-fit tests, Marked empirical processes, Missing at random, Random projections.
Scheduled
GT06 Functional Data Analysis III. Recent contributions
June 8, 2022 5:20 PM
Grade Hall
Other papers in the same session
A. Coín, J. R. Berrendero, A. Cuevas
C. L. Urbano Leon, M. Escabias Machuca
L. Freijeiro González, M. Febrero Bande, W. González Manteiga
L. A. Rodríguez Ramírez, J. Cárcamo, A. Cuevas González
Latest news
-
6/8/22
Visit Alhambra
Tomorrow, Thursday, we will visit the Alhambra. 1. At 7:00 p.m., buses will start leaving from the door of the Hotel Granada Center (in front of the door of the Faculty of Sciences) 2. Upon arrival, groups with guides will be organized. 3. There will be groups in English language. These groups will wait at the destination until the arrival of all buses. 4. After the visit to the Alhambra we will walk to the Carmen de los Mártires to have a cocktail. 5. On the way back, we can go back by bus, which will leave from the same place where they left us at the Alhambra. 6. Although the way to the Alhambra by bus seems long, it really is close to the city. We invite you, whoever wishes, to go down for a pleasant walk. 7. Do not forget to take your Alhambra ticket and your identity card or passport. The document must be the same whose number matches the ticket number you have.
-
5/31/22
YouTube Channel
The menu label is already on the web from where you can see the live broadcasts: inauguration, plenary sessions, round tables,... Don't forget to enter the YouTube channel and subscribe!!!!
-
5/27/22
Gala Dinner
It opens the possibility that anyone who is registered for the conference, and wants non-registered companions to attend the gala dinner, can do so by paying the price of this dinner (80 euros VAT included). This payment must be made before June 1 (inclusive). To do this, contact with [email protected]
-
5/23/22
IMPORTANT WARNING
To access the Alhambra on the visit on Thursday 9, it is obligatory to present the identification document whose reference was sent to the organization (eurocongress)
-
5/16/22
Social Events
All social events are included with the payment of the corresponding registration.
