Previous Page 5

Displaying 81 – 91 of 91

Showing per page

Cumulative processes in basketball games

I. Kopocińska, B. Kopociński (2006)

Applicationes Mathematicae

We assume that the current score of a basketball game can be modeled by a bivariate cumulative process based on some marked renewal process. The basic element of a game is a cycle, which is concluded whenever a team scores. This paper deals with the joint probability distribution function of this cumulative process, the process describing the host's advantage and its expected value. The practical usefulness of the model is demonstrated by analyzing the effect of small modifications of the model...

Cycle structure of percolation on high-dimensional tori

Remco van der Hofstad, Artëm Sapozhnikov (2014)

Annales de l'I.H.P. Probabilités et statistiques

In the past years, many properties of the largest connected components of critical percolation on the high-dimensional torus, such as their sizes and diameter, have been established. The order of magnitude of these quantities equals the one for percolation on the complete graph or Erdős–Rényi random graph, raising the question whether the scaling limits of the largest connected components, as identified by Aldous (1997), are also equal. In this paper, we investigate the cycle structureof the largest...

Cyclic random motions in d -space with n directions

Aimé Lachal (2006)

ESAIM: Probability and Statistics

We study the probability distribution of the location of a particle performing a cyclic random motion in d . The particle can take n possible directions with different velocities and the changes of direction occur at random times. The speed-vectors as well as the support of the distribution form a polyhedron (the first one having constant sides and the other expanding with time t). The distribution of the location of the particle is made up of two components: a singular component (corresponding...

Currently displaying 81 – 91 of 91

Previous Page 5