The inclusion of internal noise in model observers is a common method to allow for quantitative comparisons between human and model observer performance in visual detection tasks. In this article, we studied two different strategies for inserting internal noise into Hotelling model observers. In the first strategy, internal noise was added to the output of individual channels: (a) Independent n...

The method of change (or anomaly) detection in high-dimensional discrete-time processes using a multivariate Hotelling chart is presented. We use normal random projections as a method of dimensionality reduction. We indicate diagnostic properties of the Hotelling control chart applied to data projected onto a random subspace of R. We examine the random projection method using artificial noisy i...

Economists inside and outside of the Austrian-school tradition have formulated a subjectivist theory of mineral resources. While von Mises (1940) presented a rudimentary theory, institutionalist Zimmermann (1933 and after) provided an indepth mind-centered approach distinct from the objective, neoclassical theory for minerals developed by Jevons (1865, 1866), Gray (1913), and Hotelling (1931). ...

We propose a space–time Hotelling model that introduces a unit size of the vertical time axis in the classical Hotelling unit interval model. The proposed model allows explicit consideration of the probability that a consumer arrives at a retail store up to time t to purchase goods. The proposed model is useful in a variety of retailing problems. We briefly demonstrate an application of the pro...

It has been long recognized that an exhaustible-resource monopsonist faces a commitment problem similar to that of a durable-good monopolist. Indeed, Hörner and Kamien (2004) demonstrate that the two problems are formally equivalent under full commitment. We show that there is no such equivalence in the absence of commitment. The existence of a choke price at which the monopsonist adopts the su...

Adaptive sample size and sampling intervals schemes have been widely used to improve the statistical efficiency of Hotelling T control chart in detecting small changes when the quality of a product or a process can be characterised by the multivariate distribution of quality characteristics. In this paper, we design a Hotelling T scheme varying sample sizes and sampling intervals (VSSI-T) for a...

I develop a simple Hotelling model which corresponds the distribution of consumer preferences to the intensity of competition. This is a new perspective on consumer distribution in the Hotelling model. I impose two properties, mean preserving spread (MPS) and monotone likelihood ratio property (MLRP), on distribution functions. These properties provide a way to measure the intensity of competit...