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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...