Flexible stationary diffusion-type models are developed that can fit both the marginal distribution and the correlation structure found in many time series from, for example, finance and turbulence.

Jakob Bernoulli, head of a dynasty of brilliant scholars, was one of the world's leading mathematicians. His great work, Ars Conjectandi, published in 1713, included a profound result that he ...

p is the probability of success for the binomial distribution, where . In terms of acceptance sampling, p is the probability of selecting a nonconforming item. n is the number of independent Bernoulli ...

We investigate compound distributions - for example, compound mixed Poisson distributions - in the case where the summands, the mixing distribution or the number of summands are subexponential. It is ...