We introduced a random vector (X,N), where N has Poisson distribution and X are minimum of N independent and identically distributed exponential random variables. We present fundamental properties of this vector such as PDF, CDF and stochastic representations. Our results include explicit...

Business decision-making environment must integrate as a whole the experience and beliefs of the techniques makers and decision support systems used. Currently, the business information environment is becoming more complex due to the increasing volume of information relevant for business area,...

Estimation of the tail index of stationary, fat-tailed return distributions is non-trivial since the well-known Hill estimator is optimal only under iid draws from an exact Pareto model. We provide a small sample simulation study of recently suggested adaptive estimators under ARCH-type...