En este trabajo se proponen dos posibles estimadores del parámetro de dependencia de una familia de distribuciones bivariantes con marginales dadas y se realiza un estudio de Monte Carlo de sus respectivos sesgo y eficiencia, a fin de determinar cuál de ambos estimadores es preferible. También se propone y se estudia, de forma similar, una posible versión "Jackknife" del mejor de los dos estimadores anteriores. En este estudio se emplean técnicas de reducción de la varianza. Para poder realizar...

The Multivariate Extreme Value distributions have shown their usefulness in environmental studies, financial and insurance mathematics. The Logistic or Gumbel-Hougaard distribution is one of the oldest multivariate extreme value models and it has been extended to asymmetric models. In this paper we introduce generalized logistic multivariate distributions. Our tools are mixtures of copulas and stable mixing variables, extending approaches in Tawn [14], Joe and Hu [6] and Fougères et al. [3]. The...

The concepts of geometric infinite divisibility and stability extend the classical properties of infinite divisibility and stability to geometric convolutions. In this setting, a random variable X is geometrically infinitely divisible if it can be expressed as a random sum of $N_p$ components for each p ∈ (0,1), where $N_p$ is a geometric random variable with mean 1/p, independent of the components. If the components have the same distribution as that of a rescaled X, then X is (strictly) geometric stable....