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Logarithmically concave function

In convex analysis, a non-negative function f: Rn → R+ is logarithmically concave (or log-concave for short) if its domain is a convex set, and if it satisfies the inequality

Products, Log-concave distributions & Properties

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Operations preserving log-concavity

Log-concave distributions

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Logarithmically concave function

Nodes61
Edges60
Triples5
Avg. degree1.97
Density0.032787
Components1

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log-concave function distributions concave convex functions distribution dom also non-negative isbn mr two density probability pp domain logarithm since parameter

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SubjectPredicateObjectConfidenceSrc
BUGSinstance ofThis property is heavily used in general-purpose Gibbs sampling programs0.80text
JAGSinstance ofThis property is heavily used in general-purpose Gibbs sampling programs0.80text
which are thereby able to use adaptive rejection sampling over a wide variety of conditional distributions derived from the product of other distributions.If a density is log-concaveinstance ofThis property is heavily used in general-purpose Gibbs sampling programs0.80text
so is its survival function.If a density is log-concaveinstance ofThis property is heavily used in general-purpose Gibbs sampling programs0.80text
it has a monotone hazard rateinstance ofThis property is heavily used in general-purpose Gibbs sampling programs0.80text

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