In this paper we use a concept of multivariate phase–type distributions to define a class of bivariate exponential distributions. This class has the following three appealing properties. Firstly, we may construct a pair of exponentially distributed random variables with any feasible correlation coefficient (also negative). Secondly, the class satisfies that any linear combination (projection) o...

We consider the first passage percolation model on the Zd lattice. In this model, we assign independently to each edge e a non-negative passage time t(e) with a common distribution F . Let a0,n be the passage time from the origin to (n, 0, · · · , 0). Under the exponential tail assumption, Kesten (1993) and Talagrand (1995) investigated the concentration of a0,n from its mean using different me...

in this study, the distribution, abundance and some growth parameters of spirlin, alburnoideseichwaldii in the tilabad stream in the golestan province was studied over 2009-2010. a totalof 535 samples of spirlins were collected by catching with electroshocker. a total number of205 samples was analyzed and the rest of the specimens were released. spirlin was found onlyin stations 1 and 2 (the he...

The opening rate of voltage-gated potassium ion channels exhibits a characteristic knee-like turnover where the common exponential voltage dependence changes suddenly into a linear one. An explanation of this puzzling crossover is put forward in terms of a stochastic first passage time analysis. The theory predicts that the exponential voltage dependence correlates with the exponential distribu...

Evolutionary algorithms are randomized search heuristics, which are often used as function optimizers. In this paper the well-known (1+1) Evolutionary Algorithm ((1+1) EA) and its multistart variants are studied. Several results on the expected runtime of the (1+1) EA on linear or unimodal functions have already been presented by other authors. This paper is focused on quadratic pseudo-boolean ...

Pendry in his paper [Phys. Rev. Lett., 85, 3966 (2000)] put forward an idea for a lens made of a lossless metamaterial slab with 1 n = − , that may provide focusing with resolution beyond the conventional limit. In his analysis, the evanescent wave inside such a lossless double-negative (DNG) slab is “growing”, and thus it “compensates” the decaying exponential outside of it, providing the sub-...

We introduce a variant of modal logic, dubbed EXISTENTIAL COUNTING MODAL LOGIC (ECML), which captures a vast majority of problems known to be tractable in single exponential time when parameterized by treewidth. It appears that all these results can be subsumed by the theorem that model checking of ECML admits an algorithm with such complexity. We extend ECML by adding connectivity requirements...

Natural exponential families of distributions have probability mass functions of the form [exp(Ox)]#(dx) where # is a given measure, and 0 > 0 is a parameter. When we compute the mean and the variance, and force the variance to be a quadratic function of the mean as 0 is varied, the number of families becomes severely restricted. Morris (1982) showed that there are in fact only six natural expo...