In this paper, we discuss a number of univariate tests for independence and hidden nonlinear deterministic structure, and apply these tests to the Canadian exchange rate, using daily data over a 30-year period from January 2, 1973 to February 14, 2003

Statistical analysis of stock markets and foreign exchange markets has demonstrated the intermittent nature of economic time series. A nonlinear model of business cycles is able to simulate intermittency arising from order-chaos and chaos-chaos transitions. This monograph introduces new concepts...

This book considers the benefits of complexity, suggesting that economists should become a bit less certain in their policy conclusions. A broader range of models would include agent-based models, which use computational power to deal with specification of models that are far beyond analytic...

We develop in this paper simple geometrical methods to study local indeterminacy, bifurcations and stochastic (sunspot) equilibria near a steady state, in nonlinear two dimensional economic models. We present stochastic sunspot equilibria, which allows a constructive description of local...

This paper derives the asymptotic distribution of a smoothing-based estimator of the Lyapunov exponent for a stochastic time series under two general scenarios. In the first case, we are able to establish root-T consistency and asymptotic normality, while in the second case, which is more...

In this paper, we applied multifractal modeling techniques to analyze the traffic data collected from the Beijing Yuquanying. The results indicated that multifractal characteristics obviously exist in the traffic system; the degree of fractality of these traffic data tends to increase as the...

Capital market efficiency of emerging markets has been investigated widely in recent years. But to-date the empirical results remain inconclusive because most empirical studies use empirical tests, which are designed to detect linear structure in financial time series. However, recent...