Asymptotics of the Nodal Lines of Solutions of 2-Dimensional Schrödinger Equations.
Curvature computations on surfaces in -space
Interior Hölder estimates for solutions of Schrödinger equations and the regularity of nodal sets
Adaptive wavelet estimation of the diffusion coefficient under additive error measurements
We study nonparametric estimation of the diffusion coefficient from discrete data, when the observations are blurred by additional noise. Such issues have been developed over the last 10 years in several application fields and in particular in high frequency financial data modelling, however mainly from a parametric and semiparametric point of view. This paper addresses the nonparametric estimation of the path of the (possibly stochastic) diffusion coefficient in a relatively general setting. By...
Pointwise bounds on the asymptotics of spherically averaged -solutions of one-body Schrödinger equations
Testing Linearity in an AR Errors-in-variables Model with Application to Stochastic Volatility
Stochastic Volatility (SV) models are widely used in financial applications. To decide whether standard parametric restrictions are justified for a given data set, a statistical test is required. In this paper, we develop such a test of a linear hypothesis versus a general composite nonparametric alternative using the state space representation of the SV model as an errors-in-variables AR(1) model. The power of the test is analyzed. We provide a simulation study and apply the test to the HFDF96...
Page 1