A nine-region division of the United States is discussed and compared with the U.S. Census and BEA (Bureau of Economic Analysis) regional groupings. The discussion includes the population density of the regions as well as the inequality of the population densities between and within regions.

A Stein-like shrinking methodology is proposed for modifying sets of metropolitan area economic forecasts. The technique is applied to historical published quarterly forecasts of the twenty metropolitan statistical areas of Florida. Stein-like shrinking is found to yield modest improvement in...

Balance sheets and income statements are numerical decompositions of certain total sums: total assets, total liabilities, total sales, and total costs and expenses. The behavior of individual items measured as fractions of the corresponding total is important for the analysis of the company's...

Von Neumann and Morgenstern formulated the expected-utiiity approach in terms of a simultaneous utility-probability axiomatization, which makes utility unique up to a linear transformation. This note illustrates, that there are situations in which it is convenient to consider utility or, more...