A maximum likelihood estimator of an inhomogeneous Poisson point processes intensity using beta splines
Kybernetika, Tome 36 (2000) no. 4, p. [455]
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The problem of estimating the intensity of a non-stationary Poisson point process arises in many applications. Besides non parametric solutions, e. g. kernel estimators, parametric methods based on maximum likelihood estimation are of interest. In the present paper we have developed an approach in which the parametric function is represented by two-dimensional beta-splines.
Classification :
60G55, 62M09, 62M30
Keywords: non-stationary Poisson point process; estimating the intensity
Keywords: non-stationary Poisson point process; estimating the intensity
@article{KYB_2000__36_4_a4,
author = {Krej\v{c}{\'\i}\v{r}, Pavel},
title = {A maximum likelihood estimator of an inhomogeneous {Poisson} point processes intensity using beta splines},
journal = {Kybernetika},
pages = {[455]},
publisher = {mathdoc},
volume = {36},
number = {4},
year = {2000},
mrnumber = {1830649},
zbl = {1249.60096},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2000__36_4_a4/}
}
Krejčíř, Pavel. A maximum likelihood estimator of an inhomogeneous Poisson point processes intensity using beta splines. Kybernetika, Tome 36 (2000) no. 4, p. [455]. http://geodesic.mathdoc.fr/item/KYB_2000__36_4_a4/