The Sampling of Particulate Materials-A General Theory

This paper is a summary of the general theory of sampling published by the author in 1975. Sampling is a random process and its the- ory is a study of the, numerous errors liable to take place in the course of its realization. A complete sampling scheme is a sequence of sampling (proper) and preparation stages . At each stage, the total error ET is the sum of : -.Sampling errors EE arising from the selection process itself. -Preparation errors EZ arising from the operations (crushing, transfer...) sup- ported by the sampled material. ET a EE + EZ . At each sampling stage, the (total) sampling error EE is the sum of seven inde- pendent errors : - Weighting error ED resulting from the non-uniformity of the density or rate-of-flow of the sampled material. - Integration error EI1 resulting from the long-range distribution heterogeneity of the sampled material. - Periodicity error EI3 resulting even- tually from periodic quality variations of the sampled material.