A diffusion process associated with Fréchet means

QR Code

A diffusion process associated with Fréchet means

This paper studies rescaled images, under exp−1μ, of the sample Fréchet means of i.i.d. random variables {Xk|k≥1} with Fréchet mean μ on a Rie-mannian manifold. We show that, with appropriate scaling, these images converge weakly to a diffusion process. Similar to the Euclidean case, this limiting d...

Full description

Bibliographic Details
Main Author:	Le, Huiling
Format:	Article
Published:	Institute of Mathematical Statistics 2015
Subjects:	limiting diffusion; rescaled Frechet means; weak convergence
Online Access:	https://eprints.nottingham.ac.uk/32707/

Similar Items

The logarithm map, its limits and Fréchet means in orthant spaces
by: Barden, D., et al.
Published: (2018)

Limiting behaviour of Fréchet means in the space of phylogenetic trees
by: Barden, D., et al.
Published: (2018)

Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics.
by: Zhou, Diwei, et al.
Published: (2016)

Asymptotic and numerical analysis of nonlocal reaction-diffusion equations
by: Lee, Jia Yin
Published: (2024)

Meaning and displaying. A semantic analysis of meaning attributions
by: Raimondi, Andrea
Published: (2024)

An epidemic in a dynamic population with importation of infectives
by: Ball, Frank, et al.
Published: (2017)

On the long-time integration of stochastic gradient systems
by: Leimkuhler, B., et al.
Published: (2014)

What good is meaning in life?
by: Woodard, Christopher
Published: (2017)

Mean-reverting market model: speculative opportunities and non-arbitrage
by: Dokuchaev, Nikolai
Published: (2011)

Evaluation of diffusion coefficients by means of an approximate steady-state condition in sedimentation velocity distributions
by: Scott, David J., et al.
Published: (2015)

State rescaling, policy experimentation and path dependency in post-Mao China: a dynamic analytical framework
by: Lim, Kean Fan
Published: (2017)

Absolute continuity in partial differential equations
by: Farjudian, Amin, et al.
Published: (2015)

Construction of Flash Method for Determining Thermal Diffusivity of Solids
by: Teh, Chze Ling
Published: (2008)

Presence of time-dependent diffusion in the brachial plexus
by: Mahbub, Zaid B., et al.
Published: (2018)

A reality-based guide to KMS diffusion
by: Xu, Jun, et al.
Published: (2005)

Application of Fickian and non-Fickian diffusion models to study moisture diffusion in asphalt mastics
by: Apeagyei, Alex K., et al.
Published: (2015)

Multipliers on Fréchet algebra
by: Azram, Mohammad, et al.
Published: (2013)

Multipliers on fréchet algebra
by: Azram, Mohammad, et al.
Published: (2012)

Natural Semantic Metalanguage as an approach to measuring meaning
by: Cavanagh, Robert Frederick, et al.
Published: (2019)

Thermal Diffusivity of Silver Metallic Nanoparticles in Clay Matrix
by: R., Zamiri, et al.
Published: (2010)

Empirical likelihood in Euclidean and some non-Euclidean spaces
by: Yan, Xi
Published: (2020)

Reactive force field simulation of proton diffusion in BaZrO3 using an empirical valence bond approach
by: Raiteri, Paolo, et al.
Published: (2011)

Photopyroelectric Technique in Thermal Diffusivity Determination and Spectroscopic Response of Solid Samples
by: Liaw, Hock Sang
Published: (2003)

Mean curvature, threshold dynamics, and phase field theory on finite graphs
by: van Gennip, Yves, et al.
Published: (2014)

Weak tectonics: the ambiguous role of materiality in the work of contemporary Japanese architects SANAA
by: Yang, Jing
Published: (2018)

Effects of electric field on the thermal diffusivity of conductors in three-layer solid configurations
by: Jibrin, Sani
Published: (2015)

The consumption of work: representations and interpretations of the meaning of work at a UK university
by: Chertkovskaya, Ekaterina, et al.
Published: (2017)

Thermal Diffusivity and Electrical Conductivity Studies of Polyaniline Based Materials and Selected Ceramics
by: Liew, Josephine Ying Chyi
Published: (2003)

Upscaling diffusion through first-order volumetric sinks: a homogenization of bacterial nutrient uptake
by: Dalwadi, Mohit P., et al.
Published: (2018)

Researching state rescaling in China: methodological reflections
by: Lim, Kean Fan
Published: (2017)

Theorizing China-world integration: sociospatial reconfigurations and the modern silk roads
by: Mayer, Maximilian, et al.
Published: (2020)

Contextualisation of learning objects to derive meaning
by: Quinton, Stephen
Published: (2006)

The ResD Response Regulator, through Functional Interaction with NsrR and Fur, Plays Three Distinct Roles in Bacillus subtilis Transcriptional Control
by: Henares, Bernadette, et al.
Published: (2014)

Using models of the ocean's mean dynamic topography to identify errors in coastal geodetic levelling
by: Filmer, Michael
Published: (2014)

A new stepsize for gradient method via weak secant equation
by: Leong, Wah June
Published: (2007)

Convergence of an algorithm for the split common fixed-point of asymptomatic quasi-nonexpansive operators
by: Dang, Y., et al.
Published: (2014)

Diffusion of responsibility on social networking sites
by: Martin, Katie, et al.
Published: (2015)

Knee strength and knee adduction moments following arthroscopic partial meniscectomy
by: Sturnieks, D, et al.
Published: (2008)

Brand Meaning and Virtual Brand Community Amongst Teenagers: A Study of the IPod Brand
by: Wiedemann, Katharina
Published: (2006)

Measurement of thermal diffusivity and thermal effusivity of solid and liquid photoacoustic technique
by: Teh, Ee Phing
Published: (2001)