In this article, we propose a parametric bootstrap (PB) test for testing main, simple and interaction effects in heteroscedastic two-way MANOVA models under multivariate normality. The PB test is shown to be invariant under permutation-transformations, and affinetransformations, respectively.Moreover, the PB test is independent of the choice ofweights used to define the parameters uniquely. The...

The conventional approach for testing the equality of two normal mean vectors is to test first the equality of covariance matrices, and if the equality assumption is tenable, then use the two-sample Hotelling T (2) test. Otherwise one can use one of the approximate tests for the multivariate Behrens-Fisher problem. In this article, we study the properties of the Hotelling T (2) test, the conven...

This article analyzes the analogue ofHotellingls duopoly model when products are dejned by two characteristics. Using the assumptions of the original model of Hotelling, we show that demand and projt functions are continuous for a wide class of utility functions. When the utilityfunction is linear in the Euclidean distance in the space of characteristics, a noncooperative equilibrium in prices ...

Inspired by retinex theory, we propose a novel method for selecting key points from a depth map of a 3D freeform shape; we also use these key points as a basis for shape registration. To find key points, first, depths are transformed using the Hotelling method and normalized to reduce their dependence on a particular viewpoint. Adaptive smoothing is then applied using weights which decrease wit...

In this paper we study variations of the standard Hotelling-Downs model of spatial competition, where each agent attracts the clients in a restricted neighborhood, each client randomly picks one attractive agent for service. Two utility functions for agents are considered: support utility and winner utility. We generalize the results by Feldman et al. to the case where the clients are distribut...

The methodology of objective assessment, which defines image quality in terms of the performance of specific observers on specific tasks of interest, is extended to temporal sequences of images with random point spread functions and applied to adaptive imaging in astronomy. The tasks considered include both detection and estimation, and the observers are the optimal linear discriminant (Hotelli...

This paper introduces endogenous technological change in a Hotelling-Herfindahl model of natural resource use to study the recent developments U.S. gas industry. We consider optimal forward-looking technology investments, and implications for order extraction conventional shale gas, backstop technology, characterize development prices. find that investments increase during gas. Once production ...