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A Nonlinear Time Series Workshop - A Toolkit for Detecting and Identifying Nonlinear Serial Dependence (Hardcover, 2000 ed.)
Loot Price: R4,411
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A Nonlinear Time Series Workshop - A Toolkit for Detecting and Identifying Nonlinear Serial Dependence (Hardcover, 2000 ed.)
Series: Dynamic Modeling and Econometrics in Economics and Finance, 2
Expected to ship within 12 - 17 working days
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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.
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