Extreme value theory is a practical and useful tool for modeling and quantifying risk. In this article, after introducing basic concepts, we indicate how to apply it within a financial framework.

We describe some results of value distribution theory of holomorphic curves and quasiregular maps, which are obtained using potential theory. Among the results discussed are: extensions of Picard’s theorems to quasiregular maps between Riemannian manifolds, a version of the Second Main Theorem of Nevanlinna for curves in projective space and non-linear divisors, description of extremal function...

Extreme value theory deals with the stochastic behavior of the extreme values in a process. For a single process, the behavior of the maxima can be described by the three extreme value distributions–Gumbel, Fréchet and negative Weibull–as suggested by Fisher and Tippett (1928). Kotz and Nadarajah (2000) indicated that the extreme value distributions could be traced back to the work done by Bern...

An ecological theory focuses on the relation of subject and world as mutually dependent moments of a whole and on the development and history of entities rather than on their present properties and dispositions. Values are an aspect of the relation between organism and environment that cannot be reduced to properties of organism or environment taken as separate entities. The theory of value dev...

Recognition problems in computer vision often benefit from 5 5 a fusion of different algorithms and/or sensors, with score level fusion be6 6 ing among the most widely used fusion approaches. Score level fusion re7 7 quires the different data to be normalized before combining. Choosing an 8 8 appropriate score normalization technique before fusion is a fundamen9 9 tally difficult problem becaus...

The (traditional) labor theory of value, founded by Smith with the basic axiom that determines and supplemented improved Marx creates surplus-value. Neoclassical economics newly studied utility but it abandoned traditional value Under axiomatic system analogous to theoretical mechanics, above three theories has been included developed new which established complex variable function including qu...