In certain acoustic environments, mainly when dwellings are in a mixed commercial/residential or industrial/residential zoning, it is very difficult to assess the noise nuisance from a specific source. It is complicated to obtain valid results when a global measurement of the sound level is used. In this Paper, the results of measurements inside homes will be presented, whereby the result of the measurement of the acceleration of the vibrations is used to find the moments of time in which the industrial installations were turned off and on, which causes structural vibration in homes radiating low frequency noise and infrasound. Since the determination methods recommended in the international standard ISO 1996-2 are very general, a criterion had to be created to find the level of the specific sound. It was interpreted mathematically by developing a statistical procedure which could be applied universally, independent of these individual cases. Applying a reasoning specific to acoustics, traditional concepts of statistics are adapted to solve one of the problems of environmental noise measurement: estimating the level of specific sound contained within the total sound. This acoustic determination consists of removing the outlier values from a time-history filtering of the total sound and, as a consequence, a new vector is obtained that contains a smoothing signal (adapting Pearson's criterion) that correlates with the specific sound level.