Abstract: The Pareto probability distribution is widely applied in different fields such us finance, physics , hydrology , geology and astronomy. This note deals with an application of the Pareto distribution to astrophysics and more precisely to the statistical analysis of mass of stars and of diameters of asteroids. In particular a comparison between the usual Pareto distribution and its trun...

Multi-objective AI planning suffers from a lack of benchmarks with known Pareto Fronts. A tunable benchmark generator is proposed, together with a specific solver that provably computes the true Pareto Front of the resulting instances. A wide range of Pareto Front shapes of various difficulty can be obtained by varying the parameters of the generator. The experimental performances of an actual ...

PURPOSE To eliminate or reduce the error to Pareto optimality that arises in Pareto surface navigation when the Pareto surface is approximated by a small number of plans. METHODS The authors propose to project the navigated plan onto the Pareto surface as a postprocessing step to the navigation. The projection attempts to find a Pareto optimal plan that is at least as good as or better than t...

Abstract The main objective of this study was to identify and quantify inappropriate disposal construction demolition waste (CDW) in Cabo Frio, Brazil. municipality has areas environmental preservation suffers significant impacts due the large flow tourists CDW. Data collection, carried out from June September-2019, covered eighteen neighborhoods. 179 inadequate CDW points were detected corresp...

Repeated play in games by simple adaptive agents is investigated. The agents use Q-learning, a special form of reinforcement learning, to direct learning of behavioral strategies in a number of 2! 2 games. The agents are able effectively to maximize the total wealth extracted. This often leads to Pareto optimal outcomes. When the rewards signals are sufficiently clear, Pareto optimal outcomes w...

Various multivariate Pareto distributions are known to exhibit the heavy tail behaviors. This paper examines the tail dependence properties of a general class of multivariate Pareto distributions with the Pareto index and some common scale parameters. The multivariate tail dependence describes the amount of dependence in the upper-orthant tail or lower-orthant tail of a multivariate distributio...

We study when two-member household choice behavior is compatible with Pareto optimality. We ask when an external observer of household choices, who does not know the individuals’ preferences, can rationalize the choices as being Pareto-optimal. Our main contribution is to reduce the problem of rationalization to a graph-coloring problem. As a result, we obtain simple tests for Pareto optimal ch...

Abstract Mathematical models of linear discrete-time set-valued Pareto-Nash-Stackelberg control processes are examined as extension of mono-valued Pareto-Nash-Stackelberg control models proposed by V. Ungureanu in [10]. A straightforward principle is applied to solve Pareto-Nash-Stackelberg control problems. Models and results are presented in natural order by beginning with the simplest case a...

In the literature of analyzing extremes, both generalized Pareto distribution and Pareto distribution are employed to infer the tail of a distribution with a known positive extreme value index. Similar studies exist for a known negative extreme value index. Intuitively, one should not employ the generalized Pareto distribution in case of knowing the sign of the extreme value index. In this pape...

In the present paper, a bicriterial optimal control problem governed by an abstract evolution problem and bilateral control constraints is considered. To compute Pareto optimal points and the Pareto front numerically, the (Euclidean) reference point method is applied, where many scalar constrained optimization problems have to be solved. For this reason a reduced-order approach based on proper ...