Geodesic
Mean quadratic convergence of signed random measures
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 119-123

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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.
Classification : 28A20, 28C05, 60B10, 60F25, 60G57
Keywords: relative compactness; mean quadratic convergence 
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Jacob, P.; Oliveira, P. E. Mean quadratic convergence of signed random measures. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 119-123. http://geodesic.mathdoc.fr/item/CMUC_1991__32_1_a12/