Some Generalized Probability Distributions with Special Reference to the Mineral Industries. Part 5. Theoretical Confirmation and Applications

摘要

Part 5 deals with the theoretical confirmation and application of results developed in parts 1 and 2. (PB-173 318 and PB-173 319) The bulk-sampling variances of Hassialis and Kassel and Guy are compared with those in part 2, both as to formulation and as applied to ores and coal. The results provide confirmation for much of the development in part 2. Examples are presented for determining the reliability of bulk samples with respect to various measurable characteristics. These characteristics include, for example, assays for elements or compounds and particle surface area. The bulk samples considered consist either of a given weight, a given volume, or a given number of particles. In addition to problems of sample reliability, some of these examples may also be applicable to quality control. Several possible applications of results developed in parts 1 and 2 are outlined. These include tests for random data, degree-of-mixing indices, and particle-fineness indices. (Author)