Empirical Fokker-Planck-based test of stationarity for time series

Cahit Erkal, Aydin A. Cecen

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We propose a test of stationarity based on the drift coefficients of the Langevin type and the associated Fokker-Planck equations. The test relies on the estimation of the drift coefficients of the underlying probability densities and posits that a time series is nonstationary if the estimated drift term is a nonlinear function of the random variable of the observed time series and the Markov property holds. We provide ample empirical evidence that demonstrates that well- known stationary systems give rise to linear estimates of the drift coefficients, whereas nonstationary time series exhibit nonlinear estimates of the drift term. This does not, indeed, imply that a nonlinear drift term in the Fokker-Planck equation of a dynamic stochastic process causes nonstationarity.

Original languageEnglish
Article number062907
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
StatePublished - Jun 10 2014


Dive into the research topics of 'Empirical Fokker-Planck-based test of stationarity for time series'. Together they form a unique fingerprint.

Cite this