- supermodular
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having the property that for all x, y R, where x y denotes the componentwise maximum and x y the componentwise minimum of x and y.See Also: supermodularity
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supermodular
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Supermodular — In mathematics, a function:fcolon R^k o Ris supermodular if:f(x lor y) + f(x land y) geq f(x) + f(y)for all x , y isin R k , where x vee y denotes the componentwise maximum and x wedge y the componentwise minimum of x and y .If − f is… … Wikipedia
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Topkis's Theorem — states that if f is supermodular in (x,θ) , and D is a lattice, then x^*( heta)=argmax {xin D}f(x, heta) is nondecreasing in θ . This can be very useful when f is not differentiable … Wikipedia
Gewöhnliche stochastische Ordnung — Stochastische Ordnungen sind Ordnungsrelationen für Zufallsvariablen. Sie verallgemeinern das Konzept von größer und kleiner auf zufällige Größen und dienen zum Beispiel dem Vergleich von Risiken in der Versicherungswirtschaft. Die Theorie der… … Deutsch Wikipedia
