Some results on generalized (k, ?)-space forms

Generalized Space Forms

Spaces with radially symmetric curvature at base point p are shown to be diffeomorphic to space forms. Furthermore, they are either isometric to Rn or Sn under a radially symmetric metric, to RPn with Riemannian universal covering of Sn equipped with a radially symmetric metric, or else have constant curvature outside a metric ball of radius equal to the injectivity

Some Results on a Generalized Archimedean Family of Copulas

Durante et al. (2007) introduced a class of bivariate copulas depending on two generators which generalizes some known families such as the Archimedean copulas. In this paper we provide some result on properties of this family when the generators are certain univariate survival functions.

Some results on generalized exponents

A digraph G = (V; E) is primitive if, for some positive integer k, there is a u ! v walk of length k for every pair u; v of vertices of V. The minimum such k is called the exponent of G, denoted exp(G). The exponent of a vertex u 2 V , denoted exp(u), is the least integer k such that there is a u ! v walk of length k for each v 2 V. For a set X V , exp(X) is the least integer k such that for ea...

Some New Results on Stochastic Orderings between Generalized Order Statistics

In this paper we specify the conditions on the parameters of pairs of gOS’s under which the corresponding generalized order statistics are ordered according to usual stochastic ordering, hazard rate ordering, likelihood ratio ordering and dispersive ordering. We consider this problem in one-sample as well as two-sample problems. We show that some of the results obtained by Franco et al. ...

Some Results in Generalized Serstnev Spaces