In a large-scale production system such as building a Boeing 777 airplane, there are more than ten thousand jobs. The interdependence structure among jobs and some jobs’ delay’s influence on the other jobs in different manufacturing areas are critical information to understand the status of their area. Relationship among groups of jobs may help us find the root cause of problems, to estimate re...

This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for two types of individuals migrating between and interacting within colonies. Their largescale space-time behavior can be studied by means of a renormalization program. This program, which has been carried out successfull...

Abstract Bivariate polynomial copulas of degree 5 (containing the family Eyraud-Farlie-Gumbel-Morgenstern copulas) are in a one-to-one correspondence to certain real parameter triplets ( , b c ), i.e., some set polynomials two variables 1: p x y ) = ax + by . The parameters yielding copula is characterized and visualized detail. Polynomial satisfying particular (in)equalities (symmetry, Schur c...

The exponential inequality for weighted sums of a class of linearly negative quadrant dependent random variables is established, which extends and improves the corresponding ones obtained by Ko et al. (2007) and Jabbari et al. (2009). In addition, we also give the relevant precise asymptotics.

Dependence modelling plays a crucial role within internal credit risk models. The theory of copulae, which describes the dependence structure between a multi-dimensional distribution function and the corresponding marginal distributions, provides useful tools for dependence modelling. The difficulty in employing copulae for internal credit risk models arises from the appropriate choice of a cop...