On nonparametric conditional quantile estimation for non-stationary spatial processes
A kernel conditional quantile estimate of a real-valued non-stationary spatial process is proposed for a prediction goal at a non-observed location of the underlying process. The originality is based on the ability to take into account some local spatial dependency. Large sample properties based on...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-07-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.400/ |
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| _version_ | 1825206226106974208 |
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| author | Kanga, Serge Hippolyte Arnaud Hili, Ouagnina Dabo-Niang, Sophie |
| author_facet | Kanga, Serge Hippolyte Arnaud Hili, Ouagnina Dabo-Niang, Sophie |
| author_sort | Kanga, Serge Hippolyte Arnaud |
| collection | DOAJ |
| description | A kernel conditional quantile estimate of a real-valued non-stationary spatial process is proposed for a prediction goal at a non-observed location of the underlying process. The originality is based on the ability to take into account some local spatial dependency. Large sample properties based on almost complete and $L^{q}$-consistencies of the estimator are established. |
| format | Article |
| id | doaj-art-45df62afb5ae4ee381bf2a2f31a1d0f1 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-07-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-45df62afb5ae4ee381bf2a2f31a1d0f12025-02-07T11:08:07ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-07-01361G584785210.5802/crmath.40010.5802/crmath.400On nonparametric conditional quantile estimation for non-stationary spatial processesKanga, Serge Hippolyte Arnaud0Hili, Ouagnina1Dabo-Niang, Sophie2UMRI Mathématiques et Nouvelles Technologies de l’Information, Institut National Polytechnique Félix Houphouët Boigny, BP 1093 Yamoussoukro, Côte d’IvoireUMRI Mathématiques et Nouvelles Technologies de l’Information, Institut National Polytechnique Félix Houphouët Boigny, BP 1093 Yamoussoukro, Côte d’IvoireLaboratoire Paul Painlevé UMR CNRS 8524, INRIA-MODAL Université de Lille, FranceA kernel conditional quantile estimate of a real-valued non-stationary spatial process is proposed for a prediction goal at a non-observed location of the underlying process. The originality is based on the ability to take into account some local spatial dependency. Large sample properties based on almost complete and $L^{q}$-consistencies of the estimator are established.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.400/ |
| spellingShingle | Kanga, Serge Hippolyte Arnaud Hili, Ouagnina Dabo-Niang, Sophie On nonparametric conditional quantile estimation for non-stationary spatial processes Comptes Rendus. Mathématique |
| title | On nonparametric conditional quantile estimation for non-stationary spatial processes |
| title_full | On nonparametric conditional quantile estimation for non-stationary spatial processes |
| title_fullStr | On nonparametric conditional quantile estimation for non-stationary spatial processes |
| title_full_unstemmed | On nonparametric conditional quantile estimation for non-stationary spatial processes |
| title_short | On nonparametric conditional quantile estimation for non-stationary spatial processes |
| title_sort | on nonparametric conditional quantile estimation for non stationary spatial processes |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.400/ |
| work_keys_str_mv | AT kangasergehippolytearnaud onnonparametricconditionalquantileestimationfornonstationaryspatialprocesses AT hiliouagnina onnonparametricconditionalquantileestimationfornonstationaryspatialprocesses AT daboniangsophie onnonparametricconditionalquantileestimationfornonstationaryspatialprocesses |