Distribution of the values of natural remanent magnetization and magnetic susceptibility of some minerals

Summary A statistical treatment is presented of the observed values of natural remanent magnetization and of magnetic susceptibility of natural minerals: magnetite, chromite, ilmenite pyrrhotite, haematite, cassiterite and garnets. It was found that for most minerals the distribution of the natural remanent magnetization as well as the magnetic susceptibility is logarithmically normal at a significance level of p=0.05. The typical values of J_n and x, the limits of the intervals of reliability of these typical values for p=0.05, and the standard deviations of the distribution were determined for the individual minerals. The end values of the sets were tested by two independent tests of extreme deviations at a level of significance of p=0.05. Following statistical deliberations it was proved that the lognormal distribution of the J_n and x values depended on the number of factors affecting these values, independently of the type of distribution of these so-called disturbing factors. By generalizing for rocks it was shown that the lognormal and normal types of distribution of J_n and x values are extreme cases as regards the observable types with rocks.