Nonlinearity and Temporal Dependence

Xiaohong Chen (), Lars Peter Hansen and Marine Carrasco
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Lars Peter Hansen: U of Chicago

Working Papers from Yale University, Department of Economics

Abstract: Nonlinearities in the drift and diffusion coefficients influence temporal dependence in scalar diffusion models. We study this link using two notions of temporal dependence: beta-mixing and rho-mixing. We show that beta-mixing and rho-mixing with exponential decay are essentially equivalent concepts for scalar diffusions. For stationary diffusions that fail to be rho-mixing, we show that they are still beta-mixing except that the decay rates are slower than exponential. For such processes we find transformations of the Markov states that have finite variances but infinite spectral densities at frequency zero. Some have spectral densities that diverge at frequency zero in a manner similar to that of stochastic processes with long memory. Finally we show how nonlinear, state-dependent, Poisson sampling alters the unconditional distribution as well as the temporal dependence.

JEL-codes: C12 (search for similar items in EconPapers)
Date: 2008-05
New Economics Papers: this item is included in nep-ecm and nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Related works:
Journal Article: Nonlinearity and temporal dependence (2010)
Working Paper: Nonlinearity and Temporal Dependence (2009)
Working Paper: Nonlinearity and Temporal Dependence (2009)
Working Paper: Nonlinearity and Temporal Dependence (2008)
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Persistent link: https://EconPapers.repec.org/RePEc:ecl:yaleco:48

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