We propose a novel statistic to test the rank of a matrix. The rank statistic overcomes deficiencies of existing rank statistics, like: Necessity of a Kronecker covariance matrix for the canonical correlation rank statistic of Anderson (1951), sensitivity to the ordering of the variables for the...

Total U.S. trade with NAFTA partners has increased 78 percent in real terms since 1993-U.S. Mexico trade alone is up 141 percent-compared to a 43 percent increase in U.S. trade with the rest of the world. In this article we compare the nature of U.S. trade growth with Canada and Mexico to growth...

We decompose the Lorenz curve (LC) and its associated concentration curve (CC) by population subgroups. To illustrate these decompositions, we examine changes in earnings inequality among West Germans, East Germans, and foreign guest workers during the recent German unification. We show that...

Over the last fifteen years, many researchers have attempted to explain the determinants and changes of wage inequality. I propose a simple procedure to decompose changes in the distribution of wages or in other distributions into three factors: changes in regression coefficients; the...

While reducing the dimensionality of a corpus, concept decomposition (CD) based on fuzzy K-means (FKM) clustering provides better approximation than CD based on spherical k-means clustering. However, performance of the FKM algorithm is limited by its distance metric and it is proved that...

This chapter provides a comprehensive overview of decomposition methods that have been developed since the seminal work of Oaxaca and Blinder in the early 1970s. These methods are used to decompose the difference in a distributional statistic between two groups, or its change over time, into...

We propose a decomposition of financial time series into Gaussian subsequences characterized by a constant Hölder exponent. In (multi)fractal models this condition is equivalent to the subsequences themselves being stationarity. For the different subsequences, we study the scaling of the...

A methodology for decomposing the below-mean semivariance into systematic and unsystematic components is introduced. The decomposition of variance and semivariance of asset returns is presented for forty-four country-level indexes. The proportion of risk explained for country-level returns in...