We extend the original heterogeneous agent model of Brock and Hommes (1998) by introducing the concept of skilled traders. The idea of skilled traders is based on the endeavor of market agents to estimate future price movements. We distinguish between the three groups of skilled traders...

The paper concerns a heterogeneous agent model, which is an extension of the Brock and Hommes model. The heterogeneous agents approach challenges the traditional representative rational agent framework. Heterogeneity in expectations can lead to market instability and complicated price dynamics....

We analyze the long-term memory properties of hourly prices of electricity in the Czech Republic between 2009 and 2012. Various statistical properties of these prices are studied, and as the dynamics of electricity prices is dominated by cycles—in particular intraday and daily—we opt for...

In this paper, we present the results of Monte Carlo simulations for two popular techniques of long-range correlation detection — classical and modified rescaled range analyses. A focus is put on an effect of different distributional properties on an ability of the methods to efficiently...

In this paper, we show how the sampling properties of the Hurst exponent methods of estimation change with the presence of heavy tails. We run extensive Monte Carlo simulations to find out how rescaled range analysis (R/S), multifractal detrended fluctuation analysis (MF-DFA), detrending moving...

We focus on finite sample properties of two mostly used methods of Hurst exponent H estimation – R/S analysis and DFA. Even though both methods have been widely applied on different types of financial assets, only several papers have dealt with finite sample properties which are crucial as the...

Mostly used estimators of Hurst exponent for detection of long-range dependence are biased by presence of short-range dependence in the underlying time series. We present confidence intervals estimates for rescaled range and modified rescaled range. We show that the difference in expected values...

Long-term memory processes have been extensively examined in recent literature as they provide simple way to test for predictability in the underlying process. However, most of the literature interprets the results of estimated Hurst exponent simply by its comparison to its asymptotic limit of...