3 papers
q-bio.PE2026
An analytical framework to unify ecological and engineering resilience near critical transitions
Tristan Gamot, Tom J. M. Van Dooren
The capacity of dynamical systems to resist and recover from perturbations, broadly referred to as resilience, is commonly expressed by two complementary quantities: ecological and…
stat.AP2026
On the robustness of Mann-Kendall tests used to forecast critical transitions
Tristan Gamot, Nils Thibeau--Sutre, Tom J. M. Van Dooren
Non-parametric approaches to test for trends in time series make use of the Mann-Kendall statistic. Based on asymptotic arguments, these tests assume that its distribution follows…
stat.ME2025
On the Gaussian distribution of the Mann-Kendall tau in the case of autocorrelated data
Tristan Gamot, Nils Thibeau--Sutre, Tom J. M. Van Dooren
Non-parametric Mann-Kendall tests for autocorrelated data rely on the assumption that the distribution of the normalized Mann-Kendall tau is Gaussian. While this assumption holds a…