Mean quadratic convergence of signed random measures
Pierre Jacob; Paulo Eduardo Oliveira
Commentationes Mathematicae Universitatis Carolinae (1991)
- Volume: 32, Issue: 1, page 119-123
- ISSN: 0010-2628
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topJacob, Pierre, and Oliveira, Paulo Eduardo. "Mean quadratic convergence of signed random measures." Commentationes Mathematicae Universitatis Carolinae 32.1 (1991): 119-123. <http://eudml.org/doc/247259>.
@article{Jacob1991,
abstract = {We consider signed Radon random measures on a separable, complete and locally compact metric space and study mean quadratic convergence with respect to vague topology on the space of measures. We prove sufficient conditions in order to obtain mean quadratic convergence. These results are based on some identification properties of signed Radon measures on the product space, also proved in this paper.},
author = {Jacob, Pierre, Oliveira, Paulo Eduardo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {relative compactness; mean quadratic convergence; vague convergence in the product space; signed Radon random measures; mean quadratic convergence},
language = {eng},
number = {1},
pages = {119-123},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Mean quadratic convergence of signed random measures},
url = {http://eudml.org/doc/247259},
volume = {32},
year = {1991},
}
TY - JOUR
AU - Jacob, Pierre
AU - Oliveira, Paulo Eduardo
TI - Mean quadratic convergence of signed random measures
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 1
SP - 119
EP - 123
AB - We consider signed Radon random measures on a separable, complete and locally compact metric space and study mean quadratic convergence with respect to vague topology on the space of measures. We prove sufficient conditions in order to obtain mean quadratic convergence. These results are based on some identification properties of signed Radon measures on the product space, also proved in this paper.
LA - eng
KW - relative compactness; mean quadratic convergence; vague convergence in the product space; signed Radon random measures; mean quadratic convergence
UR - http://eudml.org/doc/247259
ER -
References
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