In an important class of problems involving mixture distributions, interest focuses on the mixture proportions, considering other possible parameters as nuisance parameters. We formulate a new variation on such problems that arose in a study on the link between the number of cells in a...

Mean value analysis is an elegant tool for determining mean performance measures in queueing models. In this paper we show how mean value analysis can be applied to retrial queues. First, we illustrate the technique for the standard M/G/1 retrial queue with exponential retrial times. After that...

The stationary distribution of a solar energy model is studied when one of the parameters ([beta]) of the model approaches its critical value 1. For the case that the input distribution function has a polynomial tail we show that the stationary distribution of the model converges weakly to a...

For i.i.d. bivariate normal vectors we consider the maxima of the projections with respect to two arbitrary directions. A limit theorem for these maxima is proved for the case that the angle of the two directions approaches zero. The result is generalized to a functional limit theorem.