  We report a comprehensive approach to analysing continuous-output photon
detectors. We employ principal component analysis to maximise the information
extracted, followed by a novel noise-tolerant parameterised approach to the
tomography of PNRDs. We further propose a measure for rigorously quantifying a
detector's photon-number-resolving capability. Our approach applies to all
detectors with continuous-output signals. We illustrate our methods by applying
them to experimental data obtained from a transition-edge sensor (TES)
detector.
