Conditional density function for surrogate scalar response

• Authors: Mounir Boumahdi , Idir Ouassou , Mustapha Rachdi

Abstracts

EN

This paper presents the estimator of the conditional density function of surrogated scalar response variable given a functional random one. We construct a conditional density function by using the available (true) response data and the surrogate data. Then, we build up some asymptotic properties of the constructed estimator in terms of the almost complete convergences. As a result, we compare our estimator with the classical estimator through the Relatif Mean Square Errors (RMSE). Finally, we end this analysis by displaying the superiority of our estimator in terms of prediction when we are lacking complete data.

Keywords

EN

Density function; surrogate response; functional variable; almost complete convergence; kernel estimators; scalar response; entropy; semi-metric space

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2023
• Volume: 24
• Issue: 3
• Pages: 117-137

Dates

published

2023

Contributors

author

Mounir Boumahdi

• University Cadi Ayyad, The Eminent University of Science and Knowledge

• https://orcid.org/0000000210173760

author

Idir Ouassou

• University Cadi Ayyad, The Eminent University of Science and Knowledge

• https://orcid.org/0000000155735053

author

Mustapha Rachdi

• Université Grenoble Alpes

• https://orcid.org/0000000328874212

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Identifiers

DOI

10.59170/stattrans-2023-039

Biblioteka Nauki

18105167