  This paper presents an analysis on the distribution of periods between
consecutive reversals of the Earth's magnetic field. The analysis includes the
randomness of polarities, whether the data corresponding to different periods
belong to a unique distribution and finally, the type of distribution that data
obey. It was found that the distribution is a power law (which could be the
fingerprint of a critical system as the cause of geomagnetic reversions). For
the distribution function a slope value of -1.42 was found. This value differs
about 15% from results obtained when the present considerations are not taken
into account and it is considered the main finding.
