Numerical Studies on Some Contagious Distributions

Some numerical studies of the evolution of generalized parton distributions

We study the evolution behavior of generalized parton distributions at small longitudinal momentum fraction. Particular attention is paid to the ratio of a generalized parton distribution and its forward limit, to the mixing between quarks and gluons, and to the dependence on the squared momentum transfer t.

Some Results on Equilibrium Distributions

‎The equilibrium distributions have many applications in reliability theory, stochastic orderings and random processes. ‎The purpose of this paper is to introduce the equilibrium distributions and presents some results related to this issue. Some results are based on order statistics. ‎In this paper, ‎the generalized Pareto distributions are also analyzed and some basic relationships between t...

Some notes on distributions

Formally, distributions are usually defined as continuous linear functions on a certain topological vector space of “test functions”. However, it is not surprising that useful mathematical objects such as distributions also have a natural, concrete description. We shall start from this viewpoint, and later explain the abstraction to topological vector spaces, and explain why the latter is impor...

Some New Characterization Results on Exponential and Related Distributions

On some Euler-Mahonian Distributions

We prove that the pair of statistics (des,maj) on multiset permutations is equidistributed with the pair (stc, inv) on certain quotients of the symmetric groups. We define an analogue of the statistic stc on multiset permutations whose joint distribution with the inversions equals that of (des,maj). We extend the definition of the statistic stc to hyperoctahedral and even hyperoctahedral groups...