Rates of convergence for random approximations of convex sets
1996 ◽
Vol 28
(02)
◽
pp. 384-393
◽
Keyword(s):
The Hausdorff distance between a compact convex set K ⊂ ℝd and random sets is studied. Basic inequalities are derived for the case of being a convex subset of K. If applied to special sequences of such random sets, these inequalities yield rates of almost sure convergence. With the help of duality considerations these results are extended to the case of being the intersection of a random family of halfspaces containing K.
Keyword(s):
1984 ◽
Vol 16
(02)
◽
pp. 324-346
◽
Keyword(s):
Keyword(s):
1985 ◽
Vol 17
(02)
◽
pp. 308-329
◽
Keyword(s):
1987 ◽
Vol 35
(2)
◽
pp. 267-274
◽
Keyword(s):
1991 ◽
Vol 109
(2)
◽
pp. 351-361
◽
1977 ◽
Vol 81
(2)
◽
pp. 225-232
◽
Keyword(s):
1999 ◽
Vol 59
(1)
◽
pp. 147-152
◽
Keyword(s):
1998 ◽
Vol 30
(2)
◽
pp. 295-316
◽
Keyword(s):