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.

The idea of an open quantum system was introduced in the 1950s as a response to problems encountered areas such nuclear magnetic resonance and decay unstable atoms. Nowadays, dynamical models systems have become essential components many applications mechanics. This paper provides overview fundamental concepts systems. All underlying definitions, algebraic methods crucial theorems are presented...

Probabilistic risk assessment (PRA) is an effective methodology that could be used to improve the safety of nuclear power plants in a reasonable manner. Dynamic PRA, as advanced allows for more realistic and detailed analyses by handling time-dependent information. However, applications this method practical problems are limited because it remains research development stage. This study aimed in...

It is widely recognized that safety of nuclear power plants is a problem of great relevance for society. If it is not properly managed, the increase in power and complexity of the plants can lead to a catastrophic release of energy and dangerous materials and pollute the environment. To prevent this to happen, the nuclear community always put significant efforts into finding new ways to improve...