Convex measure information

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...

the sublinear property,R is convex, then R is a set-valued convex risk measure. A lower semi-continuous convex risk measure ϱ {\displaystyle \varrho }...

Look up convex or convexity in Wiktionary, the free dictionary. Convex or convexity may refer to: Convex lens, in optics Convex set, containing the whole...

measure is log-concave. The restriction of the Lebesgue measure to any convex set is also log-concave. By a theorem of Borell, a probability measure on...

analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces...

began mass-producing the tape measure. Their product was later sold to Stanley Works. It was Farrand's concave-convex tape that went on to become the...

central tendency (or measure of central tendency) is a central or typical value for a probability distribution. Colloquially, measures of central tendency...

dimension, the Euler measure of a closed bounded convex polyhedron always equals 1, while the Euler measure of a d-D relative-open bounded convex polyhedron is...

A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have at least one reflex interior angle—that...

real-valued Radon measures with the dual space of the locally convex space K(X). These real-valued Radon measures need not be signed measures. For example...

the Latin name of the lentil (a seed of a lentil plant), because a double-convex lens is lentil-shaped. The lentil also gives its name to a geometric figure...

Examples of convex curves include the convex polygons, the boundaries of convex sets, and the graphs of convex functions. Important subclasses of convex curves...

{\displaystyle d=2r\qquad {\text{or equivalently}}\qquad r={\frac {d}{2}}.} For a convex shape in the plane, the diameter is defined to be the largest distance that...

equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex, star or skew. In the limit...

(geōmetría) 'land measurement'; from γῆ (gê) 'earth, land', and μέτρον (métron) 'a measure') is a branch of mathematics concerned with properties of space such as...

sequence[dubious – discuss]. The Dirac measures are the extreme points of the convex set of probability measures on X. The name is a back-formation from...

decide the sign of the exterior angle measure. In Euclidean geometry, the sum of the exterior angles of a simple convex polygon, if only one of the two exterior...

The set of Gibbs measures on a system is always convex, so there is either a unique Gibbs measure (in which case the system is said to be "ergodic")...

individual is difficult to do. The entropic risk measure is the prime example of a convex risk measure which is not coherent. Given the connection to utility...

_{t}(Y)} [clarification needed] A conditional coherent risk measure is a conditional convex risk measure that additionally satisfies: Conditional positive homogeneity...

collection of ergodic measures, E f ( X ) , {\displaystyle E_{f}(X),} is a subset of M f ( X ) . {\displaystyle M_{f}(X).} Moreover, any convex combination of...

normed spaces even convex, that will yield the same H δ d ( S ) {\displaystyle H_{\delta }^{d}(S)} numbers, hence the same measure. In R n {\displaystyle...