Given n equidistant realisations of a Lévy process (Lt; t = 0), a natural estimator for the distribution function N of the Lévy measure is constructed. Under a polynomial decay restriction on the characteristic function, a Donsker-type theorem is proved, that is, a functional central limit...

We obtain a uniform central limit theorem with square root n rate on the assumption that the smoothness of the functionals is larger than the ill-posedness of the problem, which is given by the polynomial decay rate of the characteristic function of the error. The limit distribution is a...

This paper establishes uniform consistency results for nonparametric kernel density and regression estimators when time series regressors concerned are nonstationary null recurrent Markov chains. Under suitable regularity conditions, we derive uniform convergence rates of the estimators. Our...

This is the first paper that econometrically estimates the impact of the rising Bioenergy production on the global CO2 emissions. We apply a structural vector autoregression (SVAR) approach to time series with annual observation for the world biofuel production and global CO2 emissions from 1961...

Nonparametric unit-root tests are a useful addendum to the tool-box of time-series analysis. They tend to trade off power for enhanced robustness features. We consider combinations of the RURS (seasonal range unit roots) test statistic and a variant of the level-crossings count. This combination...

This paper proposes a simple and improved nonparametric unit-root test. An asymptotic distribution of the proposed test is established. Finite sample comparisons with an existing nonparametric test are discussed. Some issues about possible extensions are outlined.

The aim of this paper is to study the degree of interdependence between oil price and stock market index into two groups of countries: oil-importer countries and exporter ones. To this end, we propose a new empirical methodology allowing a time-varying dynamic correlation measure between the...

This paper estimates the degree of persistence of 16 long-horizon real exchange rates relative to the US dollar. We use nonparametric operational algorithms by El-Gamal and Ryu (2006) for general nonlinear models based on two statistical notions: the short memory in mean (SMM) and the short...

This paper evaluates the speed of convergence across national stock markets employing a nonlinear, nonparametric stochastic model of relative stock prices. We use operational algorithms for estimating general measures of persistence of the relative stock price that are based on two statistical...

The aim of the paper is to compare reactions of two stock markets, the German and the French, to releases of macroeconomic fundamentals emanating from Germany and the U.S. We examine the reaction of intraday returns and volatility of the CAC40 and the DAX indices to macroeconomic surprises. We...