Translator Disclaimer
2020 Central limit theorems on compact metric spaces
Steven Rosenberg, Jie Xu
Electron. Commun. Probab. 25: 1-10 (2020). DOI: 10.1214/20-ECP336

Abstract

We produce a series of Central Limit Theorems (CLTs) associated to compact metric measure spaces $(K,d,\eta )$. The main obstacle is the impossibility of averaging $K$-valued random variables. This is overcome by using isometric images of $K$ inside a Banach space or a Hilbert space, after which we can apply results for CLTs on these spaces.

Citation

Download Citation

Steven Rosenberg. Jie Xu. "Central limit theorems on compact metric spaces." Electron. Commun. Probab. 25 1 - 10, 2020. https://doi.org/10.1214/20-ECP336

Information

Received: 6 March 2020; Accepted: 6 July 2020; Published: 2020
First available in Project Euclid: 6 August 2020

zbMATH: 07252774
MathSciNet: MR4137939
Digital Object Identifier: 10.1214/20-ECP336

Subjects:
Primary: 60F05

JOURNAL ARTICLE
10 PAGES


SHARE
Back to Top