We consider the moment space Mn corresponding to p × p complex matrix measures defined on K (K = [0, 1] or K = T). We endow this set with the uniform law. We are mainly interested in large deviations principles (LDP) when n→∞. First we fix an integer k and study the vector of the first k components of a random element ofMn . We obtain a LDP in the set of k-arrays of p× p matrices. Then we lift ...

PageRank is a way to rank Web pages taking into account hyper-link structure of the Web. PageRank provides efficient and simple method to find out ranking of Web pages exploiting hyper-link structure of the Web. However, it produces just an approximation of the ranking since the random surfer model uses just uniform distributions for all situation of choice happening during the surf process. In...

Vibration behavior of different types of porous functionally graded (FG) conical sandwich shells are investigated based on a modified high order sandwich shells theory for the first time. Sandwich shell includes FG face sheets covering a homogeneous core and the second one includes homogeneous face sheets and a FG core. Power law rule modified by considering two types of porosity distributions ...

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto’s wealth power law distribution. One important factor to be considered is the existence of risk aversion. In this paper we study a model where agents posses different levels of risk aversion, going from uniform to a random distribution. In all cases the risk aversion ...

Let X=(X1 ,X2 ) be a continuous random vector. Under the assumption that the marginal distributions of X1 and X2 are given, we develop models for vector X when there is partial information about the dependence structure between X1  and X2. The models which are obtained based on well-known Principle of Maximum Entropy are called the maximum entropy (ME) mo...

A probabilistic representation for a class of weighted p-radial distributions, based on mixtures cone probability measure and uniform distribution the Euclidean ℓpn-ball, is derived. Large deviation principles empirical coordinates random vectors ℓpn-ball with from this are discussed. The distributions extended to p-balls in classical matrix spaces, both self-adjoint non-self-adjoint matrices. ...

Universit e de Montr eal 2 4.1 INTRODUCTION Random numbers are the nuts and bolts of simulation. Typically, all the randomness required by the model is simulated by a random number generator whose output is assumed to be a sequence of independent and identically distributed (IID) U(0; 1) random variables (i.e., continuous random variables distributed uniformly over the interval (0; 1)). These r...