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Interval-Based Composite Indicators with a Triplex Representation: A Measure of the Potential Demand for the "Ristori" Decree in Italy.

Drago, Carlo (2021): Interval-Based Composite Indicators with a Triplex Representation: A Measure of the Potential Demand for the "Ristori" Decree in Italy. Forthcoming in: No. 50th Meeting of the Italian Statistical Society, University of Pisa, June 21, 2021 - June 25, 2021, Book of short papers - SIS 2021

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Abstract

In this work, we propose a new approach to constructing interval-based composite indicators based on the triplex representation. So, we measure the principal value of the indicator and simultaneously the value's uncertainty due to the different assumptions as different weightings associated how the indicator and their ranks can vary considering different assumptions or weights. The approach is useful not only on the construction of the composite indicators but also for a reliable interpretation of the results. The application shows the usefulness of the approach in detecting the regions higher the potential demand for economic support due to the Covid-19 emergency.

In questo lavoro proponiamo un nuovo approccio alla costruzione di indicatori compositi basati su intervalli, basati sulla rappresentazione triplex. In questo caso siamo in grado di misurare non solo il valore principale dell'indicatore e l'incertezza del valore dovuta alla diversa assunzione come differenti ponderazioni associate ma anche come l'indicatore e il loro rango possono variare considerando differenti assunzioni o pesi. Quindi l'approccio è utile non solo sulla costruzione degli indicatori compositi, ma anche su un'interpretazione affidabile dei risultati.

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