<Para ID="Par1">In this paper we studied a three-parameter absolutely continuous bivariate distribution whose marginals are generalized exponential distributions. The proposed three-parameter bivariate distribution can be used quite effectively as an alternative to the Block and Basu bivariate exponential...</para>

Some Kolmogorov probability inequalities for quadratic forms and weighted quadratic forms of negative superadditive dependent (NSD) uniformly bounded random variables are provided. Using these inequalities, some complete convergence of randomized quadratic forms under some suitable conditions...

This paper considers two classes of bivariate distributions having proportional (reversed) hazard rates models as their marginals. Various dependence properties of the proposed models are studied through their copulas. Copyright Springer-Verlag Berlin Heidelberg 2014

In this paper, we derive two maximal inequalities for quadratic forms of negative superadditive dependence random variables. Then, we obtain the strong law of large numbers and the rate of convergence under some suitable conditions on existence of moment. Noting that, the dependence structure...

In this paper, we study strong convergence of weighted sums , where {Xn,n[greater-or-equal, slanted]1} is a sequence of negative dependence, generalized Gaussian random variables and ank, n[greater-or-equal, slanted]1, k[greater-or-equal, slanted]1 is an array of real numbers such that, for...