The aim of this paper is to illustrate how the stability of a stochastic dynamic system is measured using the Lyapunov exponents. Specifically, we use a feedforward neural network to estimate these exponents as well as asymptotic results for this estimator to test for unstable (chaotic)...

The aim of this paper is to illustrate how the stability of a stochastic dynamic system is measured using the Lyapunov exponents. Specifically, we use a feedforward neural network to estimate these exponents as well as asymptotic results for this estimator to test for unstable (chaotic)...

The aim of this letter is to discuss and illustrate what we call (lambda, sigma-2)analysis, which is a method to distinguish between the stability of a stochastic dynamic system and the volatility of a variable generated by this system. It is also emphasized that this method is able to generate...

Can nominal exchange rates be characterized by deterministic chaos? To answer this question, a statistical framework utilizing a blockwise bootstrap procedure is used to test for the presence of a positive Lyapunov exponent in an observed stochastic time series (Bask and Gencay, 1998). Daily...

This thesis consists of four papers. The first three deal with deterministic chaos in exchange rate series whereas the fourth deals with technical analysis in the foreign exchange market. Paper [i] (

By using a novel approach in this paper,(lambda,sigma²)-analysis, we have found that electricity prices most of the time have increased in stability and decreased in volatility when the Nordic power market has expanded and the degree of competition has increased. That electricity prices at Nord...

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.

This article tests the linearity assumption underlying the popular heterogeneous autoregressive model for realized volatility (HAR-RV). We implement a consistent model specification test that is robust to both distributional and model misspecification. We find that, using a nonparametric HAR-RV...

In mathematical finance diffusion models are widely used and a variety of different parametric models for the drift and diffusion coefficient coexist in the literature. Since derivative prices depend on the particular parametric model of the diffusion coefficient function of the underlying, a...