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The Equivalence of Two Extremum Problems
Open accessAbstract
Let f 1 , …, f k be linearly independent real functions on a space X, such that the range R of (f 1, …, f k) is a compact set in k dimensional Euclidean space. (This will happen, for example, if the f i are continuous and X is a compact topological space.) Let S be any Borel field of subsets of X which includes X and all sets which consist of a finite number of points, and let C = {ε} be any class of probability measures on S which includes all probability measures with finite support (that is, which assign probability one to a set consisting of a finite number of points), and which are such that is defined. In all that follows we consider only probability measures ε which are in C.
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Cited by
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Metadata
- Authors
- Kiefer, J., & Wolfowitz, J.
- Venue
- Canadian Journal of Mathematics
- Publisher
- Canadian Mathematical Society
- Published
- 1960
- Volume
- 12
- Pages
- 363-366
- ISSN
- 0008-414X (ISSN-L)
- 1496-4279
- OpenAlex
- W2064868327
- Cited by
- 879
- References
- 0
- FWCI
- 1.28
- Type
- journal article
- Language
- en
- Open access
- bronze
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