K. Riedel

activity

20182020

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25 papers · 1 filter

stat.ME2018

Minimum bias multiple taper spectral estimation

Kurt S. Riedel, Alexander Sidorenko

Two families of orthonormal tapers are proposed for multi-taper spectral analysis: minimum bias tapers, and sinusoidal tapers ${v^{(k)}}$ , where $v_n^{(k)}=\sqrt{\frac{2}{N…

stat.ME2018

A Sherman-Morrison-Woodbury Identity for Rank Augmenting Matrices with Application to Centering

Kurt S. Riedel

Matrices of the form $A + (V_{1} + W_{1}) G (V_{2} + W_{2})^{*}$ are considered where $A$ is a $s in g u l a r$ $ℓ \times ℓ$ matrix and $G$ is a nonsing…

stat.ME2018

A Hierarchy of Empirical Models of Plasma Profiles and Transport

Kaya Imre, Kurt S. Riedel, Beatrix Schunke

Two families of statistical models are presented which generalize global confinement expressions to plasma profiles and local transport coefficients. The temperature or diffusivity…

stat.ME2018

Optimal Boundary Kernels and Weightings for Local Polynomial Regression

Alexander Sidorenko, Kurt S. Riedel

Kernel smoothers are considered near the boundary of the interval. Kernels which minimize the expected mean square error are derived. These kernels are equivalent to using a linear…

stat.ME2018

Orthogonal Representations for Output System Pairs

Andrew Mullhaupt, Kurt Riedel

A new class of canonical forms is given proposed in which $(A, C)$ is in Hessenberg observer or Schur form and output normal: $I - A^{*} A = C^{*} C$ . Here, $C$ is the $d \times n$ m…

stat.ME2018

Sufficient Conditions for a Linear Estimator to be a Local Polynomial Regression

Alexander Sidorenko, Kurt S. Riedel

It is shown that any linear estimator that satisfies the moment conditions up to order $p$ is equivalent to a local polynomial regression of order $p$ with some non-negative weight…