False Alarm Rate based Statistical Detection Limit for Astronomical
Photon Detectors
False Alarm Rate based Statistical Detection Limit for Astronomical
Photon Detectors
In ultra-fast astronomical observations featuring fast transients on sub-$\mu$s time scales, the conventional Signal-to-Noise Ratio (SNR) threshold, often fixed at $5\sigma$, becomes inadequate as observational window timescales shorten, leading to unsustainably high False Alarm Rates (FAR). We provide a basic statistical framework that captures the essential noise generation processes relevant …