In this paper we study income polarization by first comparing the efficiency of two statistical models to identify the number of poles in the income distribution empirically. The statistical models used are a multi-resolution analysis (MRA) and a log-normal approach (LNA). We then apply the...

In this paper we first describe a multiresolution curve representation based on periodic uniform tension algebraic trigonometric (UTAT) spline wavelets of class C2 and order four. Then we determine the decomposition and the reconstruction vectors corresponding to UTAT-spline spaces. Finally, we...

Wavelet analysis, although used extensively in disciplines such as signal processing, engineering, medical sciences, physics and astronomy, has not yet fully entered the economics discipline. In this discussion paper, wavelet analysis is introduced in an intuitive manner, and the existing...

This article analyses the frequency components of European business cycles using real GDP by employ-ing multiresolution decomposition (MRD) with the use of maximal overlap discrete wavelet transforms (MODWT). Static wavelet variance and correlation analysis is performed, and phasing is studied...

Wavelet analysis, although used extensively in disciplines such as signal processing, engineering, medical sciences, physics and astronomy, has not yet fully entered the economics discipline. In this discussion paper, wavelet analysis is introduced in an intuitive manner, and the existing...

This article analyses the frequency components of European business cycles using real GDP by employing multiresolution decomposition (MRD) with the use of maximal overlap discrete wavelet transforms (MODWT).Static wavelet variance and correlation analysis is performed, and phasing is studied...

Conventional time series analysis, focusing exclusively on a time series at a given scale, lacks the ability to explain the nature of the data generating process. A process equation that successfully explains daily price changes, for example, is unable to characterize the nature of hourly price...

To improve the forecasting accuracy of crude oil price with deeper understanding of the market microstructure, this paper proposes a wavelet decomposed ensemble model. The proposed model follows the Heterogeneous Market Hypothesis that assumes the unstationarity and dynamic changing nature of...

It is a well-known fact that Haar wavelet can exactly represent any piecewise constant function. Beam and Warming proved later, in 2000, that the supercompact wavelets can exactly represent any piecewise polynomial function in one variable. Higher level of accuracy is attained by higher order...