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- Title
A Limit Theorem for Solutions of Inequalities.
- Authors
Molchanov, Ilya S.
- Abstract
ABSTRACT. Let H(p) be the set {x is an element of X: h(x) ≤= p} where h is a real-valued lower semicontinuous function on a locally compact separable metric space X. This paper presents a general limit theorem for the sequence of random sets H[sub n](p) = {x is an element of X: h[sub n](x) < p} n ≥= 1, where h[sub n], n ≥= 1, are functions that estimate h.
- Subjects
LIMIT theorems; PROBABILITY theory; MATHEMATICAL inequalities; HAUSDORFF measures
- Publication
Scandinavian Journal of Statistics, 1998, Vol 25, Issue 1, p235
- ISSN
0303-6898
- Publication type
Article
- DOI
10.1111/1467-9469.00100