Kernel density estimation for a stochastic process with values in a Riemannian manifold-Reference-Cited by-同舟云学术

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Kernel density estimation for a stochastic process with values in a Riemannian manifold

Published:2024-08-13 Issue: Volume: Page:1-20
ISSN:1048-5252
Container-title:Journal of Nonparametric Statistics
language:en
Short-container-title:Journal of Nonparametric Statistics

Author:

Abdillahi Isman Mohamed¹²,Nefzi Wiem³,Mbaye Papa¹,Khardani Salah³,Yao Anne-Françoise¹⁴

Affiliation:

1. Laboratoire de Mathématiques Blaise Pascal, Université Clermont Auvergne, Aubière, France

2. Faculté IUT-I, département de Statistique, Université de Djibouti, Djibouti

3. Faculté des Sciences Tunis, Laboratoire de Modélisation mathématique, Statistique et Analyse stochastique M2SAS, Université El-Manar, Tunis, Tunisia

4. Centre de Mathématiques Appliquées, Ecole polytechnique, Paris, France

Funder

University of El-Manar, Tunis

University of Djibouti

University of Clermont Auvergne

Campus France

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/10485252.2024.2382442

Reference35 articles.

1. Non-Asymptotic Rates for Manifold, Tangent Space and Curvature Estimation;Aamari E.;The Annals of Statistics,2019

2. Kernel Estimators of Density Function of Directional Data;Bai Z.;Journal of Multivariate Analysis,1988

3. Density Estimation on An Unknown Submanifold;Berenfeld C.;Electronic Journal of Statistics,2021

4. Density Estimation on Manifolds with Boundary;Berry T.;Computational Statistics and Data Analysis,2017

5. Consistency of a Nonparametric Estimate of a Density Function for Dependent Variables;Boente G;Journal of Multivariate Analysis,1988

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