An Inequality for the Hausdorff-Metric of $\sigma$-Fields
Landers, D. ; Rogge, L.
Ann. Probab., Tome 14 (1986) no. 4, p. 724-730 / Harvested from Project Euclid
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It is shown that the Hausdorff-metric of $\sigma$-fields--which plays an important role for uniform martingale theorems--has a surprising "additivity" property. For example this property can be used to obtain a sharpened version of a uniform inequality for conditional expectations.
Publié le : 1986-04-14
Classification:  Hausdorff-metric of $\sigma$-fields,  norm-inequalities for conditional expectations,  60A10,  60G46 
@article{1176992541,
     author = {Landers, D. and Rogge, L.},
     title = {An Inequality for the Hausdorff-Metric of $\sigma$-Fields},
     journal = {Ann. Probab.},
     volume = {14},
     number = {4},
     year = {1986},
     pages = { 724-730},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992541}
}

Landers, D.; Rogge, L. An Inequality for the Hausdorff-Metric of $\sigma$-Fields. Ann. Probab., Tome 14 (1986) no. 4, pp.  724-730. http://gdmltest.u-ga.fr/item/1176992541/