14/03/2017, 11:00 — 12:00 — Room P3.10, Mathematics Building
Sandra Dias, CMAT - Pólo UTAD and CEMAT
The max-semistable laws: characterization, estimation and testing
In this talk we present the class of max-semistable distribution functions that appear as the limit, in distribution, of the maximum, suitably centered and normalized, of $k_n$ independent and identically distributed random variables, where $k_n$ is an integer-valued geometric sequence with ratio $r$ (larger or equal to $1$). This class of distributions includes all the max-stable distributions but also multimodal distributions and discrete distributions. We will characterize the max-semistable laws, discuss the estimation of the parameters and the fractal component and propose a test that allow us to distinguish between max-stable and max-semistable laws.
Join work with Luísa Canto e Castro and Maria da Graça Temido.