An empirical study of stable distribution and long-range correlation in Brent crude oil market was presented. First, it is found that the empirical distribution of Brent crude oil returns can be fitted well by a stable distribution, which is significantly different from a normal distribution....

As one of the fundamental energy sources and important chemical raw materials, crude oil is crucially important to every country. Especially, the price shock of crude oil will bring about hidden dangers in energy security and economic security. Therefore, investigating the dynamics of frequent...

Estimating gradients is of crucial importance across a broad range of applied economic domains. Here we consider data-driven bandwidth selection based on the gradient of an unknown regression function. This is a difficult problem given that direct observation of the value of the gradient is...

In order to obtain a quantitative multifractal characterization of the stock price index, the multifractal spectrum of Shanghai stock price index time series in 2005 was investigated and the multifractal spectrum was fitted using a quadratic function. A sliding window of 240 frequency data in 5...

Analyzing the Shanghai stock price index daily returns using MF-DFA method, it is found that there are two different types of sources for multifractality in time series, namely, fat-tailed probability distributions and non-linear temporal correlations. Based on that, a sliding window of 240...

An empirical research on Chinese stock markets is conducted using statistical tools. First, the multifractality of stock price return series, ri(ri=ln(Pt+1)−ln(Pt)) and trading volume variation series, vi(vi=ln(Vt+1)−ln(Vt)) is confirmed using multifractal detrended fluctuation analysis....

Enterprises are the core power and the carriers to promote the country’s economy developing sustainably and rapidly; the listed enterprises are the outstanding companies which can represent the economic level at the places where the enterprises are located, so we establish the...

Applying fractal theory, this paper probes and discusses self-similarity and scale invariance of the Chinese stock market. It analyses three kinds of scale indexes, i.e., autocorrelation index, Hurst index and the scale index on the basis of detrended fluctuation analysis (DFA) algorithm and...