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Polynomial Cointegration among Stationary Processes with Long Memory

Statistics Theory 2008-06-06 v1 Statistics Theory

Abstract

n this paper we consider polynomial cointegrating relationships among stationary processes with long range dependence. We express the regression functions in terms of Hermite polynomials and we consider a form of spectral regression around frequency zero. For these estimates, we establish consistency by means of a more general result on continuously averaged estimates of the spectral density matrix at frequency zero

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Cite

@article{arxiv.math/0607150,
  title  = {Polynomial Cointegration among Stationary Processes with Long Memory},
  author = {Marco Avarucci and Domenico Marinucci},
  journal= {arXiv preprint arXiv:math/0607150},
  year   = {2008}
}

Comments

25 pages, 7 figures. Submitted in August 2005