Copulas are functions that enable the construction of multivariate probability distributions by binding together univariate marginal distributions. Central to probability theory, they allow ...

This is a preview. Log in through your library . Abstract Perturbation analysis is a new technique which yields the sensitivities of system performance measures with respect to parameters based on one ...

ABSTRACT A statistical framework is presented for the assessment of climatological trends in the frequency of rare and extreme weather events. The methodology applies to long-term records of event ...

The Poisson distribution is widely used in artificial intelligence (AI) and machine learning. In Bayesian inference, probability distributions often help solve problems that would otherwise be ...

The probability distribution of the number of defaults plays an important role in pricing problems of multiple-name credit derivatives. When the group size gets large, it becomes increasingly ...

Many people gamble in the hope of winning money without considering the risks involved. By using probability theory it is possible to estimate the chance of certain events. For instance, one can ...