Finite sample smeariness of Fréchet means with application to climate
type: Item
instance of: scholarly article
title: Finite sample smeariness of Fréchet means with application to climate
author: Shayan Hundrieser
author: Benjamin Eltzner
author: Stephan F. Huckemann
published in: Electronic Journal of Statistics
publication date: 2024-08-30T00:00:00Z
Mathematics Subject Classification ID: 62H11
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62G10
zbMATH DE Number: 7904154
zbMATH Keywords: Fréchet means
zbMATH Keywords: smeariness: one- and two-sample tests
zbMATH Keywords: parametric asymptotic quantile based tests
zbMATH Keywords: bootstrap tests
zbMATH Keywords: directional data on circles and tori
zbMATH Keywords: wind directions
MaRDI profile type: Publication
cites work: Riemannian $L^{p}$ center of mass: Existence, uniqueness, and convexity
cites work: Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics
cites work: Means in complete manifolds: uniqueness and approximation
cites work: Central limit theorems for Fréchet means in the space of phylogenetic trees
cites work: Limiting behaviour of Fréchet means in the space of phylogenetic trees
cites work: Nonparametric Inference on Manifolds
cites work: Omnibus CLTs for Fréchet means and nonparametric inference on non-Euclidean spaces
cites work: Large sample theory of intrinsic and extrinsic sample means on manifolds. I
cites work: Large sample theory of intrinsic and extrinsic sample means on manifolds. II.
cites work: Geometry of the space of phylogenetic trees
cites work: Fréchet analysis of variance for random objects
cites work: Geometrical smeariness -- a new phenomenon of Fréchet means
cites work: Bootstrapping descriptors for non-Euclidean data
cites work: A smeary central limit theorem for manifolds with application to high-dimensional spheres
cites work: Finite sample smeariness on spheres
cites work: Stability of the cut locus and a central limit theorem for Fréchet means of Riemannian manifolds
cites work: Inference on Directionally Differentiable Functions
cites work: Q5793088
cites work: Mean location and sample mean location on manifolds: Asymptotics, tests, confidence regions
cites work: Intrinsic means on the circle: uniqueness, locus and asymptotics
cites work: Sticky central limit theorems on open books
cites work: Sticky central limit theorems at isolated hyperbolic planar singularities
cites work: A note on moment convergence of bootstrap M-estimators
cites work: Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space
cites work: Q3836517
cites work: Directions and projective shapes
cites work: Direction Estimation by Minimum Squared Arc Length
cites work: Moment convergence of \(M\)-estimators
cites work: Convergence rates for the generalized Fréchet mean via the quadruple inequality
cites work: Smeariness begets finite sample smeariness
cites work: Introduction to nonparametric estimation
cites work: Asymptotic Statistics
cites work: Weak convergence and empirical processes. With applications to statistics
cites work: Nonclassical Berry-Esseen inequalities and accuracy of the bootstrap
cites work: Q3047981
DOI: 10.1214/24-EJS2276
description: scientific article; zbMATH DE number 7904154