We describe the behavior of maximum’s expectation for random assignment process associated to a large square matrix with i.i.d. entries. Under mild assumptions on underlying distribution, answer is expressed in terms its quantile function.

in order to study the relationship between random boolean sets and some explanatory variables, this paper introduces a propagation model. this model can be applied when corresponding poisson process of the boolean model is related to explanatory variables and the random grains are not affected by these variables. an approximation for the likelihood is used to find pseudo-maximum likelihood esti...

We study a dynamically evolving random graph which adds vertices and edges using preferential attachment and deletes vertices randomly. At time t, with probability α1 > 0 we add a new vertex ut and m random edges incident with ut. The neighbours of ut are chosen with probability proportional to degree. With probability α − α1 ≥ 0 we add m random edges to existing vertices where the endpoints ar...

In this note, we analyze two random greedy processes on sparse graphs and hypergraphs with a given degree sequence. First the matching process, which builds set of disjoint edges one edge at time; then independent an vertices vertex time. We use differential equations method apply general theorem Warnke. Our main contribution is to significantly reduce associated systems simplify expression for...

By dealing with interarrival times as exponentially distributed fuzzy random variables, a fuzzy random homogeneous Poisson process and a fuzzy random compound Poisson process are respectively defined. Several theorems on the two processes are provided, respectively.