Academic Journal
Spectral Estimate for Stable Signals with P-Adic Time and Optimal Selection of Smoothing Parameter
| العنوان: | Spectral Estimate for Stable Signals with P-Adic Time and Optimal Selection of Smoothing Parameter |
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| المؤلفون: | Sabre, Rachid, Horrigue, Walid |
| المساهمون: | Biogéosciences UMR 6282 (BGS), Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS), Agroécologie Dijon, Université de Bourgogne (UB)-Université Bourgogne Franche-Comté COMUE (UBFC)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-Institut Agro Dijon, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro) |
| المصدر: | ISSN: 2229-3922 ; EISSN: 0976-710X. |
| بيانات النشر: | HAL CCSD AIRCC Publishing Corporation |
| سنة النشر: | 2023 |
| المجموعة: | Université de Bourgogne (UB): HAL |
| مصطلحات موضوعية: | Spectral density, P-adic processes, Alpha stable, Random field, [PHYS]Physics [physics] |
| الوصف: | International audience ; The spectral density of stable signals with p-adic times is already estimated under various conditions. The estimate is made by constructing a periodogram that is subsequently smoothed by a spectral window. It is clear that the convergence rate of this estimator depends on the bandwidth of the spectral window (called the smoothing parameter). This work gives a method to select the smoothing parameter in an optimal way, i.e. the estimator converges to the spectral density with the bestrate.The method is inspired by the cross-validation method, which consists in minimizing the estimate of the integrated square error. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | hal-04158343; https://institut-agro-dijon.hal.science/hal-04158343; https://institut-agro-dijon.hal.science/hal-04158343/document; https://institut-agro-dijon.hal.science/hal-04158343/file/14323sipij01.pdf |
| DOI: | 10.5121/sipij.2023.14301 |
| الاتاحة: | https://institut-agro-dijon.hal.science/hal-04158343 https://institut-agro-dijon.hal.science/hal-04158343/document https://institut-agro-dijon.hal.science/hal-04158343/file/14323sipij01.pdf https://doi.org/10.5121/sipij.2023.14301 |
| Rights: | http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.FFFAA34B |
| قاعدة البيانات: | BASE |
| DOI: | 10.5121/sipij.2023.14301 |
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