Convergence rates for the generalized Fréchet mean via the quadruple inequality
From MaRDI portal
Publication:2008610
DOI10.1214/19-EJS1618zbMath1432.62080arXiv1812.08037OpenAlexW2981811430MaRDI QIDQ2008610
Publication date: 26 November 2019
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.08037
Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Statistics on metric spaces (62R20)
Related Items (13)
Statistical inference on the Hilbert sphere with application to random densities ⋮ Intrinsic Riemannian functional data analysis for sparse longitudinal observations ⋮ Strong laws of large numbers for generalizations of Fréchet mean sets ⋮ Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics ⋮ Limit theorems for Fréchet mean sets ⋮ Gelfand–Naimark theorems for ordered -algebras ⋮ A note on generalized four-point inequality ⋮ Single index Fréchet regression ⋮ Extrinsic regression and anti-regression on projective shape manifolds ⋮ Equivalence of order and algebraic properties in ordered \(^*\)-algebras ⋮ Geometrical smeariness -- a new phenomenon of Fréchet means ⋮ Nonparametric regression in nonstandard spaces ⋮ The Stein effect for Fréchet means
Cites Work
- Fréchet regression for random objects with Euclidean predictors
- On the boundedness of Bernoulli processes
- Intrinsic inference on the mean geodesic of planar shapes and tree discrimination by leaf growth
- Principal components analysis in the space of phylogenetic trees
- Lectures on empirical processes. Theory and statistical applications.
- Large sample theory of intrinsic and extrinsic sample means on manifolds. I
- A Bennett concentration inequality and its application to suprema of empirical processes
- Geometry of the space of phylogenetic trees
- Limiting behaviour of Fréchet means in the space of phylogenetic trees
- Backward nested descriptors asymptotics with inference on stem cell differentiation
- Mathematical theory of medial axis transform
- Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature
- Weak convergence and empirical processes. With applications to statistics
- On rates of convergence for sample average approximations in the almost sure sense and in mean
- Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics
- Quasilinearization and curvature of Aleksandrov spaces
- A Riemannian framework for tensor computing
- Convex analysis and optimization in Hadamard spaces
- Computing Medians and Means in Hadamard Spaces
- Curvature Measures
- On the Optimality of Conditional Expectation as a Bregman Predictor
- Fréchet analysis of variance for random objects
- Upper and Lower Bounds for Stochastic Processes
- Encyclopedia of Distances
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Convergence rates for the generalized Fréchet mean via the quadruple inequality
