Sample's size effect
The divergence of the moments is a propriety which can be observed for the singularities
. This kind of phase transition can not be detected if the sample size of the studied field is not enough large. For a sample of finite size, chosen from a population characterized by a co-dimension function
, there exists a maximal theoretical observable singularity
. Since the co-dimension
is bounded, the
well be linear, according to Legendre transform the statistical moment function becomes:
We notice that the linear shape of
function corresponds to the two different shape of
( for
and
).
