The Edgeworth—Sargan density has been shown capable of capturing salient empirical regularities of financial data in some studies. The main purpose of the reported study is to compare its performance with other densities, most notably to the Student t. Both densities can account for thick tails, and asymmetry One important by product of the comparison is to test the existence of moments. The comparison of densities is carried out with daily financial observations, spanning 25 years of data from two major world stock markets. Attention is paid to the fitting of other empirical regularities, and especially to the peak, frequently found at the middle of the densities.

Current research links the shadow economy (SE) and the unemployment rate either indirectly or by means of a preliminary estimate. This article establishes and empirically implements a methodology for estimating the size of the SE as a direct function of the tax and unemployment rates. This link is found to be extremely relevant in countries with high unemployment rates (such as Greece and Spain) and less relevant in countries with moderate unemployment rates (such as Germany and Italy). Unemployment’s contribution to the SE is shown to be significant, especially in the years following the economic downturn of 2008. The calculation of the variance and distribution of these estimates is another significant contribution. The common criticism that SE estimates are unreliable is addressed by calculating the variance and the distribution of the estimates, and the large size of the SE in Greece and Spain is once again confirmed.