A numerical simulation technique is used to continue the study of statistical characteristics of radiometer-recorded power of upward IR radiation emitted by a fire and its background in the wavelength intervals 3.55–3.93 and 10.3–11.3 μm. Mostly the attention is focused on the probability density of the recorded power and on its approximations. The Neumann-Pearson test and a closed numerical experiment are used to estimate the detection probability of the fires of different sizes. The results obtained illustrate the efficiency of the proposed approach.