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Nonlinear Time Series Workshop

Name: Nonlinear Time Series Workshop
Brand: Springer-Verlag New York Inc.
SKU: 05257697
Price: 160.89 EUR
Availability: InStock
Author: Douglas M. Patterson
ISBN: 9781461346654

A Toolkit for Detecting and Identifying Nonlinear Serial Dependence

Douglas M. Patterson

Richard A. Ashley

Language

English

Book Paperback

Libristo code: 05257697

Publishers Springer-Verlag New York Inc., September 2012

The analysis ofwhat might be called "dynamic nonlinearity" in time series has its roots in the pione... Full description

Libristo code: 05257697

394 b

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The analysis ofwhat might be called "dynamic nonlinearity" in time series has its roots in the pioneering work ofBrillinger (1965) - who first pointed out how the bispectrum and higher order polyspectra could, in principle, be used to test for nonlinear serial dependence - and in Subba Rao and Gabr (1980) and Hinich (1982) who each showed how Brillinger's insight could be translated into a statistical test. Hinich's test, because ittakes advantage ofthe large sample statisticalpropertiesofthe bispectral estimates became the first usable statistical test for nonlinear serial dependence. We are forever grateful to Mel Hinich for getting us involved at that time in this fascinating and fruitful endeavor. With help from Mel (sometimes as amentor,sometimes as acollaborator) we developed and applied this bispectral test in the ensuing period. The first application ofthe test was to daily stock returns {Hinich and Patterson (1982, 1985)} yielding the important discovery of substantial nonlinear serial dependence in returns, over and above the weak linear serial dependence that had been previously observed. The original manuscript met with resistance from finance journals, no doubt because finance academics were reluctant to recognize the importance of distinguishing between serial correlation and nonlinear serial dependence. In Ashley, Patterson and Hinich (1986) we examined the power and sizeofthe test in finite samples.