In this paper parallel universes are defined by their relation to multi-criteria optimization combined with an explicit or implicit link for the unambiguous identification of an optimum. As an explicit link function the desirability index is introduced. Desirabilities are also used for restricting the Pareto set to desired parts.

A Point-Over-Threshold approach using a reparameterization of the Generalized Pareto Distribution (GPD) has been used to assess changes in the daily rainfall Barcelona series (1854–2006). A Bayesian approach, considering the suitable scale and physical features of the phenomenon, has been used to look for these alterations. Two different models have been assessed: existence of abrupt changes in...

The extreme events of floods, rainfalls, waves, and wind often cause serious damage. observed data can be used to detect the sign abnormal phenomena prevent crucial Anomaly detection techniques, techniques distinguishing between normal cases from data, have been one most methods for detecting suspicious collected data. Although many anomaly appeared in literature, almost all them are based on m...

We present some results on social welfare function and social choice function. First, we replace weak Pareto principle of Arrow’s axioms with strong Pareto principle, and then show that assuming unrestricted domain property, independence of irrelevant alternatives and strong Pareto principle on a social welfare function in Arrow’s sense leads to the existence of first to nth commanders whose st...

Pareto-type distributions are extreme value distributions for which the extreme value index γ > 0. Classical estimators for γ > 0, like the Hill estimator, tend to overestimate this parameter in the presence of outliers. The empirical influence function plot, which displays the influence that each data point has on the Hill estimator, is introduced. To avoid a masking effect, the empirical infl...