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A Strong Law of Large Numbers for Super-stable Processes
Strong Law Large Numbers Super-stable Processes
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2016/1/20
A Strong Law of Large Numbers for Super-stable Processes.
B-stable ideals in the nilradical of a Borel subalgebra
Connection is simple and complex algebraic groups $borel subgroup lie algebra
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2014/12/29
Let $G$G be a connected simple algebraic group over the complex numbers and $B$B a Borel subgroup. Let $\germ g$g be the Lie algebra of $G$G and $\germ b$b the Lie algebra of $B$B . A subspace of the ...
Exponents for B-stable ideals
Algebraic group plural borel subgroups
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2014/12/25
Let be a simple algebraic group over the complex numbers containing a Borel subgroup . Given a -stable ideal in the nilradical of the Lie algebra of , we define natural numbers which we call ideal exp...
Stable structures with high topological charge in nonlinear photonic quasicrystals
Whirlpool analysis of photonic crystals nonlinear
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2014/12/24
Stable vortices with topological charges of 3 and 4 are examined numerically and analytically in photonic quasicrystals created by interference of five as well as eight beams, for cubic as well as sat...
Stable Vortex–Bright-Soliton Structures in Two-Component Bose-Einstein Condensates
Numerical two-component structure condensate ordinary topological charge symbiotic state defocusing eddy
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2014/12/24
We report the numerical realization of robust two-component structures in 2D and 3D Bose-Einstein condensates with nontrivial topological charge in one component. We identify a stable symbiotic state ...
Stable Estimation of a Covariance Matrix Guided by Nuclear Norm Penalties
Covariance estimation Regularization Condition number Canonical correlation analysis Discriminant analysis Clustering
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2013/6/14
Estimation of covariance matrices or their inverses plays a central role in many statistical methods. For these methods to work reliably, estimated matrices must not only be invertible but also well-c...
Linear system identification using stable spline kernels and PLQ penalties
linear system identification bias-variance trade off kernel-based regularization robust statistics interior point methods piecewise linear quadratic densities
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2013/4/27
The classical approach to linear system identification is given by parametric Prediction Error Methods (PEM). In this context, model complexity is often unknown so that a model order selection step is...
Max-stable processes and the functional D-norm revisited
Max-stable process D-norm functional max-domain of attraction copula process generalized Pareto process δ-neighborhood of generalized Pareto process t-test for max-stable and for generalized Pareto process
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2013/5/2
Aulbach et al. (2012) introduced some mathematical framework for extreme value theory in the space of continuous functions on compact intervals. Continuous max-stable processes on [0,1] were character...
Learning Stable Multilevel Dictionaries for Sparse Representation of Images
Learning Stable Multilevel Dictionaries Sparse Representation Images
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2013/4/28
Dictionaries adapted to the data provide superior performance when compared to predefined dictionaries in applications involving sparse representations. Algorithmic stability and generalization are de...
Conditional simulation of max-stable processes
Conditional simulation Markov chain Monte Carlo Max-stable process Precipitation Regular conditional distribution Temperature.
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2012/9/18
Since many environmental processes such as heat waves or precipitation are spatial in extent,it is likely that a single extreme event affects several locations and the areal modelling of ex-tremes is ...
Nonparametric Inference for Max-Stable Dependence
Nonparametric Inference Max-Stable Dependence
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2012/9/17
The choice for parametric techniques in the dis-cussion article is motivated by the claim that for multivariate extreme-value distributions, “owing to
the curse of dimensionality, nonparametric estim...
A simple and numerical stable algorithm for solving the cone projection problem based on a Gram-Schmidt process
cone projection algorithm convexity constraints convexity test simulations Gram-Schmidt
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2012/9/19
We are presenting a simple and numerical stable algorithm for the solution of the cone projection problem which is suitable for relative small data sets and for simulation purposes needed for con-vexi...
Analytic Loss Distributional Approach Model for Operational Risk from the alpha-Stable Doubly Stochastic Compound Processes and Implications for Capital Allocation
Operational Risk Loss Distributional Approach Doubly stochastic Poisson Process -Stable Basel II Solvency II
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2011/3/25
Under the Basel II standards, the Operational Risk (OpRisk) advanced measurement approach is not prescriptive regarding the class of statistical model utilised to undertake capital estimation. It has ...
One-sided Lévy stable distributions
One-sided Lévy stable distributions
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2011/3/21
In this paper, we show new representations of one-sided L\'{e}vy stable distributions for irrational L\'{e}vy indices of the type $\left(\frac{p}{q}\right)^{\frac{l_{2}}{l_{1}}}$ which are not covered...
Feynman-Kac Penalisations of Symmetric Stable Processes
symmetric stable process Feynman-Kac functional penalisation Kato measure
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2010/2/24
In K. Yano, Y. Yano and M. Yor (2009), limit theorems for the one-dimensional symmetric α-stable process normalized by negative (killing) Feynman-Kac functionals were studied. We consider the same pro...