Fondazione GRINS
Growing Resilient,
Inclusive and Sustainable
Galleria Ugo Bassi 1, 40121, Bologna, IT
C.F/P.IVA 91451720378
Finanziato dal Piano Nazionale di Ripresa e Resilienza (PNRR), Missione 4 (Infrastruttura e ricerca), Componente 2 (Dalla Ricerca all’Impresa), Investimento 1.3 (Partnership Estese), Tematica 9 (Sostenibilità economica e finanziaria di sistemi e territori).



GRINS THEMATIC AREAS
RESOURCES
In practice, a univariate time series typically represents the value of a quantitative variable in successive order over a period of time. However, in certain fields like hydrology, multiple observations may be available for each time point. Commonly, functions such as the average, maximum, and minimum are used to summarize these observations into a univariate time series, potentially losing valuable information. This paper proposes an alternative approach by constructing a time series of distributions from the observations. We explore two methods: (1) a non parametric approach using boxplots to create a time series of boxplots, and (2) a parametric approach using a parametric distribution, where the parameters of the distribution form the time series. These methods allow for the application of multivariate time series analysis techniques to better capture the underlying information. To demonstrate the practical application of these approaches, we employ singular spectrum analysis to model real climate change data from Europe.
AKNOWLEDGEMENTS
This study was funded by the European Union - NextGenerationEU, in the framework of the GRINS - Growing Resilient, INclusive and Sustainable project (GRINS PE00000018). The views and opinions expressed are solely those of the authors and do not necessarily reflect those of the European Union, nor can the European Union be held responsible for them.
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