Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 167-178
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B. P. Harlamov. Statistics of the weighted Voronoi partition with the Poisson field of centers: Estimation of the volume content. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part 8, Tome 166 (1988), pp. 167-178. http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a19/
@article{ZNSL_1988_166_a19,
author = {B. P. Harlamov},
title = {Statistics of the weighted {Voronoi} partition with the {Poisson} field of centers: {Estimation} of the volume content},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {167--178},
year = {1988},
volume = {166},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a19/}
}
TY - JOUR
AU - B. P. Harlamov
TI - Statistics of the weighted Voronoi partition with the Poisson field of centers: Estimation of the volume content
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1988
SP - 167
EP - 178
VL - 166
UR - http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a19/
LA - ru
ID - ZNSL_1988_166_a19
ER -
%0 Journal Article
%A B. P. Harlamov
%T Statistics of the weighted Voronoi partition with the Poisson field of centers: Estimation of the volume content
%J Zapiski Nauchnykh Seminarov POMI
%D 1988
%P 167-178
%V 166
%U http://geodesic.mathdoc.fr/item/ZNSL_1988_166_a19/
%G ru
%F ZNSL_1988_166_a19
The Markov process is considered in the line section of the weighted Voronoi tesselation with a Poisson center field. Consistency of the linear estimation of the volume ratio follows from its properties. Members of the covariance matrix of the ratio are estimated from above.
