Prokhorov distance with rates of convergence under sublinear expectations

Bibliographic Details
Title: Prokhorov distance with rates of convergence under sublinear expectations
Authors: Zhou, Qianqian, Sakhanenko, Alexander, Guo, Junyi
Publication Year: 2020
Collection: Mathematics
Subject Terms: Mathematics - Probability
More Details: Prokhorov distances under sublinear expectations are presented in CLT and functional CLT, and the convergence rates for them are obtained by Lindeberg method. In particular, the obtained estimate in functional CLT yields known Borovkov's estimate in classical functional CLT with explicit constant.
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2004.11211
Accession Number: edsarx.2004.11211
Database: arXiv
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