Finite sampling interval effects in Kramers-Moyal analysis

Details Finite sampling interval effects in Kramers-Moyal analysis Finite sampling interval effects in Kramers-Moyal analysis

2009-05-27

arxiv.org/abs/0905.4324v1

Physics

Data Analysis, Statistics and Probability

Preprint

Scientific paper

Large sampling intervals can affect reconstruction of Kramers-Moyal coefficients from data. A new method, which is direct, non-stochastic and exact up to numerical accuracy, can estimate these finite-time effects. For the first time, exact finite-time effects are described analytically for special cases; biologically inspired numerical examples are also worked through numerically. The approach developed here will permit better evaluation of Langevin or Fokker-Planck based models from data with large sampling intervals. It can also be used to predict the sampling intervals for which finite-time effects become significant.

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