The paper presents two new results for the Dasgupta-Heal-Solow-Stiglitz model with an essential nonrenewable resource: (1) the pattern of resource extraction can be more important for sustainable growth than the pattern of saving when the Hotelling Rule modifier is not small enough; (2) the qualitative behavior of the long-run per capita output can be examined along any smooth enough path of ex...

In this paper we develop an alternative procedure to testing the signiicance of nonlin-ear terms in regression models based on the method of tubes. This statistical method was rst introduced by Hotelling (1939) and has been recently extended by others in the statistics literature. The proposed procedure makes use of concepts from diier-ential geometry and it can lead to an exact test with good ...

Sample covariance matrices are also of essential importance in multivariate statistical analysis because many test statistics involve their eigenvalues and/or eigenvectors. The typical example is T 2 statistic, which was proposed by Hotelling [2]. We refer to [1] and [3] for various uses of the T 2 statistic. The T 2 statistic, which is the origin of multivariate linear hypothesis tests and the...

This paper analyzes an optimal differentiation between two competing application software products when one of the two is produced by a monopolist of a base software. The so called ‘minimum differentiation principle’ by Hotelling (1929) is inappropriate in this market category. One can see the example of our ‘optimal differentiation principle’ in a web browser market, where Microsoft’s Internet...

The analysis of covariance provides a common approach to adjusting for a baseline covariate in medical research. With Gaussian errors, adding random covariates does not change either the theory or the computations of general linear model data analysis. However, adding random covariates does change the theory and computation of power analysis. Many data analysts fail to fully account for this co...

This paper proposes a method for local deformation analysis of the heart's left ventricle (LV) which is of an utmost interest in characterizing the myocardium disease extent and severity. Our method is based on regional curvature variation calculation using the Hotelling T2 two samples difference metric. Our approach is validated on real data obtained from myocardial scintigraphy imaging techni...

We analyse a newspaper market where media …rms compete for advertising as well as for readership. Firms …rst choose the political position of their newspaper, then set cover prices and advertising tari¤s. We build on the duopoly work in two-sided markets of Gabszewicz, Laussel, and Sonnac (2001, 2002) who show that advertising …nancing can lead to minimum political di¤erentiation. We extend the...

We study two types of targeting in this paper, exogenous targeting and endogenous targeting. By exogenous targeting we mean targeting by product preferences: advertising levels and prices geared to specific consumer preferences. Exogenous targeting presumes observability of consumer preferences (or of factors correlated with them). This is the sort of targeting that is much in the news in conte...