  A new distribution named intensive natural distribution is introduced with
the intent of consolidating statistics and empirical data. Based on the
probability derived from the Bernoulli distribution, this method extended also
Poisson distribution to continuous, preserving its skewness. Using this model,
the Horwitz curve has been explained. The theoretical derivation of our method,
which applies to every kind of measurements collected through sampling, is here
supported by a mathematical demonstration and illustrated with several
applications to real data collected from chemical and geotechnical fields. We
compared the proposed intensive natural distribution to other widely used
frequency functions to test the robustness of the proposed method in fitting
the histograms and the probability charts obtained from various intensive
variables.
