A note on physical dependence and mixing conditions for triangular arrays
Year: 2026
Type: article
Abstract: Under mild structural assumptions and regularity conditions on the marginal and conditional densities, an explicit bound on the β -mixing coefficients in terms of the physical dependence measure is provided. Consequently, weak physical dependence implies β -mixing and strong mixing for triangular arrays, complementing Hill (2025), who proved the converse implication under moment assumptions.
Source: Statistics & Probability Letters
Author: Florian Heinrichs
Institution: FH Aachen
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,180
OpenAlex ID: W7131808554