Logan et al. (1973) analyze the limit probability distribution of the statistic sn(p) = Σi=1 Xi/(Σi=1 Χj ) /p as n → ∞, when Xi is in the domain of attraciton of a stable law with stabilility index a. By simulations, we provide quantiles of the usual critical levels of the finite-sample...

Since Mandelbrot's seminal work (1963), alpha-stable distributions with infinite variance have been regarded as a more realistic distributional assumption than the normal distribution for some economic variables, especially financial data. After providing a brief survey of theoretical results on...