“…HST estimation models have been integrated with transformer lifetime models to predict the transformer RUL. These models, specified as deterministic and steady-state models, have been used for transformer prognostics predictions in distribution networks [9], [10], electric vehicles [11], photovoltaic (PV) generation [12], [13], [14], [15], wind energy [16], nuclear power plants [17], [18] and smart grid infrastructure [19]. However, these formulations do not integrate uncertainties present in the lifetime prediction [9], [10], [11], [12], [13], [14], [15], [16], [19], and result in point forecasts, i.e.…”