Truncated Pareto Law and Oresize Distribution of Ground Rocks

We have studied the lower and upper truncated Pareto law. This distribution depends on three parameters, the upper and the lower bounds and a parameter m which measures whether the distribution concentrates on larger or smaller values of the variable. We have constructed a test for the null hypothesis H ₀ :m = 1, which has a special significance from a theoretical point of view and also because in the samples that we consider, the estimation of m lies around 1. The truncated Pareto law is considered in the study of size frequency of rock fragmentation and we illustrate it with data corresponding to the ore size of rocks feeding an SAG mill at Chuquicamata mine in Chile. The data are the weights of the rocks for some classes defined by their mesh size and we propose an estimation method in its analysis.