TITLE:
Estimating the Components of a Mixture of Extremal Distributions under Strong Dependence
AUTHORS:
Carolina Crisci, Gonzalo Perera, Lia Sampognaro
KEYWORDS:
Mixture of Extremal Distributions, Strongly Dependent Data
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.13 No.7,
July
12,
2023
ABSTRACT: In this paper, we provide a method based on quantiles to estimate the parameters of a finite mixture of Fréchet distributions, for a large sample of strongly dependent data. This is a situation that appears when dealing with environmental data and there was a real need of such method. We validate our approach by means of estimation and goodness-of-fit testing over simulated data, showing an accurate performance.