We propose a novel statistic to test the rank of a matrix. The rank statistic overcomes deficiencies of existing rank statistics, like: a Kronecker covariance matrix for the canonical correlation rank statistic of Anderson [Annals of Mathematical Statistics (1951), 22, 327–351] sensitivity to...

The Blinder-Oaxaca decomposition technique is widely used to identify and quantify the separate contributions of group differences in measurable characteristics, such as education, experience, marital status, and geographical differences to racial and gender gaps in outcomes. The technique...

At present, the literature fails to provide a seamless perspective on the graphics, the numerics, and the analytics of both the Slutsky and Hicks decompositions of the effect of a price change on consumption. The present paper offers a remedy

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...

We used scanning tunneling microscopy to investigate graphene formation on an SiC-on-insulator (SiC-OI) substrate. Annealing of an SiC-OI substrate with an SiC thickness of 1500 nm produced a graphene layer on the SiC surface. When the thickness of the SiC film was 5 nm, a graphene layer was not...

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...