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Parameter Estimation and Model Testing for Markov Processes via Conditional Characteristic Functions
Conditional characteristic function Diffusion processes Empirical likelihood Kernel smoothing L′ evy driven processes
2016/1/19
Markov processes are used in a wide range of disciplines including finance.The transition densities of these processes are often unknown. However, the conditionalcharacteristic functions are more like...
Elementary Transversailty in the Schubert Calculus in any Characteristic
Characteristic - free schubert varieties cross data transversality theory algebraic geometry
2014/12/29
We give a characteristic-free proof that general codimension-1 Schubert varieties meet transversally in a Grassmannian and in some related varieties. Thus the corresponding intersection numbers are en...
Component groups of unipotent centralizers in good characteristic
Algebraically closed field is good conjugacy classes group conjugacy classes
2014/12/29
Let G be a connected, reductive group over an algebraically closed field of good characteristic. For uG unipotent, we describe the conjugacy classes in the component group A(u) of the centralizer of u...
Singular localization and intertwining functors for reductive Lie algebras in prime characteristic
Lie algebra semisimple algebra group Springer fiber localization module is fixed
2014/12/25
In [BMR] we observed that, on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of finite characteristic with a given (generalized) {\em ...
While five-factor models of personality are widespread, there is still not universal agreement on this as a structural framework. Part of the reason for the lingering debate is its dependence on facto...
Universality,Characteristic Kernels and RKHS Embedding of Measures
Kernel methods Characteristic kernels Hilbert space embeddings Universalkernels Translation invariant kernels Radial kernels
2010/3/11
A Hilbert space embedding for probability measures has recently been proposed, wherein
any probability measure is represented as a mean element in a reproducing kernel Hilbert
space (RKHS). Such an ...
Multiply c-decomposable probability measures on R and their characteristic functions
Infinitely divisible measure decomposable probability measure selfdecomposable measure
2009/9/21
We obtain the characteristic functions of distributions
in LC,., i.e. a-times c-decomposable distributions in the class of
infinitely divisible distributions, where 0 < a < m, 0 < c < 1. The
charac...
Finite dimensional determinants as characteristic functions of quadratic Wiener functionals
quadratic Wiener functional entire function generalized determinant
2009/4/28
We show a method and the structure to calculate the characteristic functions of quadratic Wiener functionals by using classical Weierstrass-Hadamard's theory on entire functions. We also examine the i...
On the Second-Order Correlation Function of the Characteristic Polynomial of a Real Symmetric Wigner Matrix
asymptotic behaviour Second-Order Correlation Function Symmetric Matrix
2009/3/20
We consider the asymptotic behaviour of the second-order correlation function of the characteristic polynomial of a real symmetric random matrix. Our main result is that the existing result for a rand...