This study after reviewing  construction methods of generators in Archimedean copulas (AC),  proposes several useful lemmas related with generators of AC. Then a new trigonometric Archimedean family will be shown which is based on cotangent function. The generated new family is able to model the low dependence structures.

There is rapid growth in the development of ultra-low power processors, radios, memory, and architectures that form the basis for wireless sensor nodes. Smart distributed wireless sensor nodes, originally developed for military applications over 10 years ago, are finding increased use for wireless machinery condition monitoring for industrial and commercial applications. The major drawback to l...

We characterize infinitesimal generators of semigroups of holomorphic selfmaps of strongly convex domains using the pluricomplex Green function and the pluricomplex Poisson kernel. Moreover, we study boundary regular fixed points of semigroups. Among other things, we characterize boundary regular fixed points both in terms of the boundary behavior of infinitesimal generators and in terms of plu...