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Capacity Value of Additional Generation: Probability Theory and Sampling Uncertainty
Power system planning Power system operation Power system reliability Risk analysis Wind energy
2013/6/17
The concept of capacity value is widely used to quantify the contribution of additional generation (most notably renewables) within generation adequacy assessments. This paper surveys the existing pro...
The infinite divisibility and orthogonal polynomials with a constant recursion formula in free probability theory
The infinite divisibility orthogonal polynomials a constant recursion formula
2009/9/21
We calculate Voicdescu's R-transform of the compactly
supported probability measure on R induced from the orthogonal
polynomials with a constant recursion formula, and investigate its
infinite divi...
On normalizers and centralizers of compact Lie groups. Applications to structural probability theory
Exponent commuting exponent operator-semistable law operator-stable law
2009/9/21
The concept of operator stability on finitedimensional
vector spaces V was generalized in the past into several directions. In
particular, operator-semistable and self-decomposable laws and self-
-...
Orthogonal polynomial ensembles in probability theory
Random matrix theory Vandermonde determinant GUE orthogonal polynomial method bulk and edge scaling
2009/5/18
We survey a number of models from physics, statistical mechanics, probability theory and combinatorics, which are each described in terms of an {it orthogonal polynomial ensemble}. The most prominent ...