As a preliminary study of the effect of return and sampling on chaos and stochastic data pattern, this research tests chaos pattern by using Henon attractor as a sample of two-dimensional discrete chaos data with an assumption that economic and finance data are generated by low dimensional chaos...

The compass rose pattern in financial data may indicate the presence of a nonlinear, possibly chaotic, data generating mechanism. Analysis reveals that over four equivalent subperiods, from 1996 to 2015, the compass rose pattern in gold returns fades. This feature provides an opportunity to...

In this study, we present a combinatory chaos analysis of daily wavelet-filtered (denoised) S&P 500 returns (2000–2020) compared with respective surrogate datasets, Brownian motion returns and a Lorenz system realisation. We show that the dynamics of the S&P 500 return series consist of an...

Die empirische Kapitalmarktforschung beobachtet in den Volatilitäten von Aktienkursrenditen immer wieder eine lang anhaltende Abhängigkeitsstruktur, ein so genanntes langes Gedächtnis. Dieses hat weit reichende Konsequenzen. Beispielsweise verkompliziert ein tatsächlich vorliegendes langes...