English

Surrogate testing of linear feedback processes with non-Gaussian innovations

Statistical Mechanics 2007-05-23 v2 Chaotic Dynamics

Abstract

Surrogate testing is used widely to determine the nature of the process generating the given empirical sample. In the present study, the usefulness of phase-randomized surrogates, amplitude adjusted Fourier transform (AAFT) and iterated amplitude adjusted Fourier transform (IAAFT) surrogates on statistical inference of linearly correlated noise with non-Gaussian innovations and their static, invertible nonlinear transforms from their empirical samples is discussed. Existing surrogate testing procedures which retain the auto-correlation function in the surrogates may not be appropriate in the presence of non-Gaussian innovations.

Keywords

Cite

@article{arxiv.cond-mat/0510517,
  title  = {Surrogate testing of linear feedback processes with non-Gaussian innovations},
  author = {Radhakrishnan Nagarajan},
  journal= {arXiv preprint arXiv:cond-mat/0510517},
  year   = {2007}
}

Comments

18 Pages, 6 Figures, Appendix

R2 v1 2026-07-22T11:24:16.791Z