In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...

We discuss a cluster Monte Carlo algorithm for lattice models, based on geometric transformations. We prove detailed balance when the transformation is self-inverse, and a symmetry of the Hamiltonian. This algorithm opens new possibilities, in particular for the efficient simulation of critical model systems, where the Metropolis method suffers from critical slowing down. We illustrate the gene...

This paper explores the use of assumptions to build multiple models about sustainable development in a compositional way. It presents a model aiming at supporting stakeholders to improve their understanding about a water basin system under the pressure of changes in land use. Domain knowledge is approached from three perspectives: urban, semi-urban and rural. Simulations explore sustainability ...