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This article presents a bifurcation theory of smooth stochastic dynamical systems that are governed by everywhere … of the system. By introducing a weak equivalence notion of these dependence ratios, we arrive at a bifurcation theory for … which in the compact case, the set of stable (non-bifurcating) systems is open and dense. The theory is illustrated with …
Persistent link: https://www.econbiz.de/10011349208
This paper puts forward a method to estimate average economic growth, andits associated confidence bounds, which does not require a formal decision onpotential unit root properties. The method is based on the analysis of eitherdifference-stationary or trend-stationary time series models,...
Persistent link: https://www.econbiz.de/10011325976
It is generally believed that for the power of unit root tests, only the time span and not the observation frequency matters. In this paper we show that the observation frequency does matter when the high-frequency data display fat tails and volatility clustering, as is typically the case for...
Persistent link: https://www.econbiz.de/10011342578
This paper considers spot variance path estimation from datasets of intraday high frequency asset prices in the presence of diurnal variance patterns, jumps, leverage effects and microstructure noise. We rely on parametric and nonparametric methods. The estimated spot variance path can be used...
Persistent link: https://www.econbiz.de/10011379469
This paper introduces a representation of an integrated vectortime series in which the coefficient of multiple correlation computed fromthe long-run covariance matrix of the innovation sequences is a primitiveparameter of the model. Based on this representation, a notion of nearcointegration is...
Persistent link: https://www.econbiz.de/10011300555
. To illustrate the results, we apply the theory to a number of empirically relevant models. …
Persistent link: https://www.econbiz.de/10010364739
statistic of Robin and Smith [Econometric Theory (2000), 16, 151–175] usage of numerical optimization for the objective function … singular values in Ratsimalahelo [2002, Rank test based on matrix perturbation theory. Unpublished working paper, U …
Persistent link: https://www.econbiz.de/10011332818
When analysing the volatility related to high frequency financial data, mostly non-parametric approaches based on realised or bipower variation are applied. This article instead starts from a continuous time diffusion model and derives a parametric analog at high frequency for it, allowing...
Persistent link: https://www.econbiz.de/10011374428
corresponding bifurcation theory is illustrated with some simple examples. …
Persistent link: https://www.econbiz.de/10011343270
Many products and services can be described as mixtures of ingredients whose proportions sum to one. Specialized models have been developed for linking the mixture proportions to outcome variables, such as preference, quality and liking. In many scenarios, only the mixture proportions matter for...
Persistent link: https://www.econbiz.de/10011531150