Methods for a time-dependent neutrino flare search with the KM3NeT/ARCA telescope

Neutrino astronomy has made significant progress over the last decade, with the discovery of the first cosmic neutrino sources, though unambigous identification remains challenging. This contribution provides an overview of the statistical methods under development by the KM3NeT Collaboration for time-dependent searches for neutrino flares. Two approaches are discussed: a triggered search for sources correlated with other messengers and an untriggered, all-sky scan for astrophysical neutrino flares, assuming Gaussian or box-shaped temporal profiles. The analysis emcompasses instrument response functions expressed as Probability Density Functions (PDFs).