Maximal Spacings in Several Dimensions
Janson, Svante
Ann. Probab., Tome 15 (1987) no. 4, p. 274-280 / Harvested from Project Euclid
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Take $n$ points at random in a fixed set in $R^d$. Define the maximal spacing, e.g., as the volume of the largest ball that is contained in the fixed set and avoids all $n$ chosen points. The asymptotic distribution of the maximal spacing and strong bounds are given.
Publié le : 1987-01-14
Classification:  Spacings,  multi-dimensional spacings,  random coverings,  60005,  60F05,  60F15 
@article{1176992269,
     author = {Janson, Svante},
     title = {Maximal Spacings in Several Dimensions},
     journal = {Ann. Probab.},
     volume = {15},
     number = {4},
     year = {1987},
     pages = { 274-280},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176992269}
}

Janson, Svante. Maximal Spacings in Several Dimensions. Ann. Probab., Tome 15 (1987) no. 4, pp.  274-280. http://gdmltest.u-ga.fr/item/1176992269/