About: Convex measure

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In measure and probability theory in mathematics, a convex measure is a probability measure that — loosely put — does not assign more mass to any intermediate set "between" two measurable sets A and B than it does to A or B individually. There are multiple ways in which the comparison between the probabilities of A and B and the intermediate set can be made, leading to multiple definitions of convexity, such as log-concavity, , and so on. The mathematician was a pioneer of the detailed study of convex measures on locally convex spaces in the 1970s.

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  • In measure and probability theory in mathematics, a convex measure is a probability measure that — loosely put — does not assign more mass to any intermediate set "between" two measurable sets A and B than it does to A or B individually. There are multiple ways in which the comparison between the probabilities of A and B and the intermediate set can be made, leading to multiple definitions of convexity, such as log-concavity, , and so on. The mathematician was a pioneer of the detailed study of convex measures on locally convex spaces in the 1970s. (en)
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  • In measure and probability theory in mathematics, a convex measure is a probability measure that — loosely put — does not assign more mass to any intermediate set "between" two measurable sets A and B than it does to A or B individually. There are multiple ways in which the comparison between the probabilities of A and B and the intermediate set can be made, leading to multiple definitions of convexity, such as log-concavity, , and so on. The mathematician was a pioneer of the detailed study of convex measures on locally convex spaces in the 1970s. (en)
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  • Convex measure (en)
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