We study two-dimensional self-similar Ito diffusions (X,Y) whose margins are Wiener processes. We characterize the copulas of the random pairs (Xt,Yt) for a given t.

This paper studies the tail behavior of the Poisson shot-noise processes with interdependent and heavy-tailed random shocks. In the presence of statistical dependence between the shock and its arrival time we establish the asymptotic behavior of the tail probability. Two examples are presented...

We study a multivariate extension of shuffles of Min that has a probabilistic interpretation in terms of mutually completely dependent process. The closure properties of the class of such copulas under different types of convergence is investigated.

Using the technique of finding bounds on sets of copulas with particular properties, we compare the distribution of an n-dimensional (n≥3) vector of continuous pairwise independent random variables to the distribution of a similar vector of mutually independent random variables. We examine the...

We consider a family of copulas that are invariant under univariate truncation. Such a family has some distinguishing properties: it is generated by means of a univariate function; it can capture non-exchangeable dependence structures; it can be easily simulated. Moreover, such a class presents...

This paper applied the maximization by parts (MBP) and the modified MBP (MMBP) methods to estimate the C-MGARCH model and compare the effectiveness of two methods. Monte Carlo simulation studies show that both MBP and MMBP methods are more efficient than that of the IFM method.