Theorems and laws defining the distribution of the geological random variable

Abstract

This paper treats the theoretical basis of distribution of population of Chemical elements (atoms) in a geological body according to 6 theorems and 3 laws of distribution. The mathematical background of these theorems and laws of distributions of geological random variables are well beyond the framework of this paper; this material has been presented in a paper at the 27^th International Geological Congress, Moscow, on August 6, 1984. By the dual nature of a sample as a unit magnitude the existence of two geological populations is introduced within a statistical sample that represents the elementary population of the investigated chemical element within a geological body. This finding represents an important discovery that modifies the methodology of statistical investigations in geology (geochemistry). This author has directed his efforts to further development of this new methodology of statistical study of distribution of chemical elements in geological bodies.