RANDOM BOOLEAN FUNCTIONS - NONPARAMETRIC-ESTIMATION OF THE INTENSITY - APPLICATION TO SOIL SURFACE-ROUGHNESS

Citation
M. Goulard et al., RANDOM BOOLEAN FUNCTIONS - NONPARAMETRIC-ESTIMATION OF THE INTENSITY - APPLICATION TO SOIL SURFACE-ROUGHNESS, Statistics, 25(2), 1994, pp. 123-136
Citations number
18
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
ISSN journal
02331888
Volume
25
Issue
2
Year of publication
1994
Pages
123 - 136
Database
ISI
SICI code
0233-1888(1994)25:2<123:RBF-NO>2.0.ZU;2-O
Abstract
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.