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...

This paper provides a general overview of the social, environmental, and economical issues related to biofuels and a review of economic modeling of biofuels. The increasing importance of biofuels is driven primarily by government policies since currently available biofuels are generally not...

In this paper, we present the results of Monte Carlo simulations for two popular techniques of long-range correlations 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...

We introduce a new method for detection of long-range cross-correlations and multifractality - multifractal height cross-correlation analysis (MF-HXA) - based on scaling of qth order covariances. MF-HXA is a bivariate generalization of the height-height correlation analysis of Barabasi & Vicsek...

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...

This paper provides an overview of the environmental, economical, and policy considerations related to biofuels. While the biofuel production and consumption exhibited significant increase over the first decade of the new millennium, this and further increases in biofuel production are driven...

For the biofuel markets and related commodities, we study their price transmission, which is in fact equivalent to studying price cross-elasticities. Importantly, we focus on the price dependence of the price transmission mechanism. Several methodological caveats are discussed. Specifically, we...

In this paper, we analyze the relationships between biodiesel, ethanol and related fuels and agricultural commodities with a use of minimal spanning trees and hierarchical trees. To distinguish between short term and long term effects, we construct the trees for different frequencies (weekly,...

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 short report, we investigate the ability of the DCCA coefficient to measure correlation level between non-stationary series. Based on a wide Monte Carlo simulation study, we show that the DCCA coefficient can estimate the correlation coefficient accurately regardless the strength of...