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- W2023704284 abstract "If μ and λ are probability measures on a metrisable compact convex set with μ < λ in the Choquet sense, then the main object of this paper is the study of the extremal structure of the convex set of all dilations carrying μ to λ. The extremal dilations are characterized and the relationships between these dilations and the extremal measures they induce are investigated. Several examples of extremal dilations with special properties are given to illustrate their behavior. Also given is a systematic characterization of measures which are extreme in the convex set of all measures dominating μ in the Choquet ordering." @default.
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- W2023704284 date "1976-05-01" @default.
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- W2023704284 title "Extremal dilations and their associated extremal measures" @default.
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- W2023704284 doi "https://doi.org/10.1016/0022-1236(76)90020-3" @default.
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