3 papers
math.ST2026
Functional dependence and synchronous coupling in ergodic autoregressions
Paul Doukhan, Lionel Truquet
Functional dependence measures have become an important tool in the analysis of nonlinear time series and are typically formulated with respect to a given innovation representation…
math.PR2025
Deviation inequalities for contractive infinite memory processes
Paul Doukhan, Xiequan Fan
In this paper, we introduce a class of processes that contains many natural examples. The interesting feature of such type processes lays on its infinite memory that allows it to r…
stat.ME2024
Inferring the parameters of Taylor's law in ecology
Lionel Truquet, Joel E. Cohen, Paul Doukhan
Taylor's power law (TL) or fluctuation scaling has been verified empirically for the abundances of many species, human and non-human, and in many other fields including physics, me…