M. Goulard et al., RANDOM BOOLEAN FUNCTIONS - NONPARAMETRIC-ESTIMATION OF THE INTENSITY - APPLICATION TO SOIL SURFACE-ROUGHNESS, Statistics, 25(2), 1994, pp. 123-136
A non-parametric estimation method is proposed for the intensity of th
e Poisson process associated to a Boolean random function. The case st
udied is that of marks being half-spheres as primary functions, these
half-spheres lying on a given horizontal plane. The proposed method is
derived from the method presented in Gyorfi, Hardle, Sarda et Vieu [1
989] for the case of time eries. An application in soil science is pre
sented.