Modèle d'état à coefficient aléatoire: filtrage par densités approchées

Le filtrage de Bucy-Kalman s'applique au modèle d'état comprenant des équations linéaires bruitées, décrivant l'évolution de l'état et des équations linéaires bruitées d'observation . Ce filtrage consiste dans le cas gaussien, à calculer de façon récursive, la loi de probabilité, a posteriori, de l'état, au vu de l' observation actuelle et des observations passées . Le filtrage par densités approchées permet de traiter des équations d'état, non linéaires ou à bruits non Gaussiens. Pour un coefficient de rappel aléatoire, cas typique d'une situation de changements de modèles, l'article introduit une famille de lois de probabilité, paramétrées, bimodales servant, par ajustement des paramètres, à approcher les lois a posteriori de l'état aux divers instants . Les paramètres sont recalculés récursivement, lors des mises à jour et des prédictions.

L’AIR nella pratica di una Autorità indipendente: l’esperienza dell’Autorità per l’energia elettrica e il gas di applicazione dell’AIR alla regolazione della qualità del servizio

In the last ten years Regulatory Impact Analysis has become the instrument providing groundwork for evidence-based regulatory decisions in most developed countries. However, to an increase in quantity, it did not correspond an increase in quality. In Italy, Regulatory Impact Analysis has been in place for ten years on paper, but in practice it has not been performed consistently. Of particular interest is the case of independent regulatory authorities, which have been required to apply Regulatory Impact Analysis since 2003. This paper explores how Regulatory Impact Analysis is carried out, by examining in depth how an individual case –on the Regulation for Quality of Service- was executed by the Autorità per l’energia elettrica e il gas. The aim is to provide a picture of the process leading to the final Regulatory Impact Analysis report, rather than just a study of its content. The case illustrates how Regulatory Impact Analysis, when properly employed, can be an important aid to the regulatory decision, not only by assessing ex ante the economic impacts of regulatory proposals in terms of costs, benefits and risks, but also opening the spectrum of policy alternatives and systematically considering stakeholder opinions as part of the decision-making process. This case highlights also several difficulties, analytical and process-related, that emerge in practical applications. Finally, it shows that the experience and expertise built by the regulatory authority over the years had a significant impact on the quality of the analysis.