Note onk-point separation measurement

Summary

Glick [1] introduced the notion of a separation measurement and showed that for a setf ₁,…,f _k of densities,$S_K^* \left( {f_1 ,f_2 , \cdots ,f_K } \right) = 2\left[ {\smallint \max \left\{ {f_1 ,f_2 , \cdots ,f_K } \right\} - 1} \right]$ is aK-point separation measurement. This notion is some generalization of Matusita's distance (affinity) of densitiesf ₁,f ₂, …,f _k, and its interesting applications were shown in Matusita [2], [3]. In this paper we given some statistical remarks on a separation measurement.