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 ...

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...

This paper deals with state estimation of micro tunable capacitor subjected to nonlinear electrostatic force. For this end a nonlinear observer has been designed for state estimation of the structure.  Necessary and sufficient conditions for construction of the observer are presented. Stability of the observer is checked using Lyapunov theorem. Observer design is based on converting of differen...

in recent years, the studies of location play a key role in success and stability of economic activities. location studies are under consideration in both national and international levels. meanwhile, identification of goals and methods of solving location problems have significant importance. the purpose of this paper is to examine spatial distribution of economic activities in 14 zones of esf...

We study two-player one-dimensional discrete Hotelling pure location games assuming that demand f ( d ) as a function of distance is constant or strictly decreasing. show this game admits best-response potential. This result holds in particular for = w with 0 < ? 1. For case special attention will be given to the structure equilibrium set and conjecture about increasingness correspondences m...