essential infimum

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• Essential supremum and essential infimum — In mathematics, the concepts of essential supremum and essential infimum are related to the notions of supremum and infimum, but the former are more relevant in measure theory, where one often deals with statements which are not valid everywhere …   Wikipedia

• Infimum — In mathematics the infimum of a subset of some set is the greatest element, not necessarily in the subset, that is less than or equal to all elements of the subset. Consequently the term greatest lower bound (also abbreviated as glb or GLB) is… …   Wikipedia

• Essential range — In mathematics, particularly measure theory, the essential range of a function is intuitively the non negligible range of the function. One way of thinking of the essential range of a function is the set on which the range of the function is most …   Wikipedia

• Limit superior and limit inferior — In mathematics, the limit inferior (also called infimum limit, liminf, inferior limit, lower limit, or inner limit) and limit superior (also called supremum limit, limsup, superior limit, upper limit, or outer limit) of a sequence can be thought… …   Wikipedia

• List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… …   Wikipedia

• Coherent risk measure — In the field of financial economics there are a number of ways that risk can be defined; to clarify the concept theoreticians have described a number of properties that a risk measure might or might not have. A coherent risk measure is a function …   Wikipedia

• Laplace principle (large deviations theory) — In mathematics, Laplace s principle is a basic theorem in large deviations theory, similar to Varadhan s lemma. It gives an asymptotic expression for the Lebesgue integral of exp(− theta; phi; ( x )) over a fixed set A as theta; becomes large.… …   Wikipedia

• Dynamic risk measure — In financial mathematics, a conditional risk measure is a random variable of the financial risk (particularly the downside risk) as if measured at some point in the future. A risk measure can be thought of as a conditional risk measure on the… …   Wikipedia

• Deviation risk measure — In financial mathematics, a deviation risk measure is a function to quantify financial risk (and not necessarily downside risk) in a different method than a general risk measure. Deviation risk measures generalize the concept of standard… …   Wikipedia

• Supremum — In mathematics, given a subset S of a partially ordered set T , the supremum (sup) of S , if it exists, is the least element of T that is greater than or equal to each element of S . Consequently, the supremum is also referred to as the least… …   Wikipedia

• Mean value theorem — For the theorem in harmonic function theory, see Harmonic function#Mean value property. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …   Wikipedia