Rates of convergence of the distribution of the extreme order statistic to its limit distribution are given in the uniform metric and the total variation metric. A second{order regular variation condition is imposed by supposing a von Mises type condition which allows a uniied treatment. Rates are constructed from the parameters of the second{order regular variation condition. Some connections ...

It is known from many theoretical studies that ecological chaos may have numerous significant impacts on the population and community dynamics. Therefore, identification of the factors potentially enhancing or suppressing chaos is a challenging problem. In this paper, we show that chaos can be enhanced by the Allee effect. More specifically, we show by means of computer simulations that in a ti...

Dynamo models for the structure of the regular magnetic field in the galaxy NGC 6946 are confronted with recent observations of polarized radio emission at λ3.5 cm. The observed behaviour of the concentration of regular fields between the gaseous spiral arms (“magnetic spiral arms”) is achieved via a non-axisymmetric azimuthal distribution of only the correlation time τcorr of interstellar turb...

The classic result of Bulow and Klemperer [1] says that in a singleitem auction recruiting one more bidder and running the Vickrey auction achieves a higher revenue than the optimal auction’s revenue on the original set of bidders, when values are drawn i.i.d. from a regular distribution. We give a version of Bulow and Klemperer’s result in settings where bidders’ values are drawn from non-i.i....

One of the major issues examined in the quantitative ecology is the spatial distribution pattern of plant species. Knowledge of the spatial distribution patterns is essential to measure the level of uniformity in the surrounding environment, plant reproduction, and distribution of the seedlings, plant behavioral patterns, coexistence, allelopathic relations, and competition. Therefore, the aim ...