An Improved Formula for the Asymptotic Variance of Spectrum Estimates

Asymptotic algorithm for computing the sample variance of interval data

The problem of the sample variance computation for epistemic inter-val-valued data is, in general, NP-hard. Therefore, known efficient algorithms for computing variance require strong restrictions on admissible intervals like the no-subset property or heavy limitations on the number of possible intersections between intervals. A new asymptotic algorithm for computing the upper bound of the samp...

The Asymptotic Variance of Subspace Estimates

We give new simple general expressions for the asymptotic covariance of the estimated system parameters (A,B,C,D) in subspace identification. The formulas can be applied to a whole class of subspace methods including N4SID, MOESP, CVA etc. The asymptotic expressions highlight how the conditioning of the estimation problem influences the accuracy of the estimates. Journal of Economic Literature ...

Asymptotic Error Estimates for the Gauss Quadrature Formula

Improved Estimates of Kinematic Wave Parameters for Circular Channels

The momentum equation in the kinematic wave model is a power-law equation with two parameters. These parameters, which relate the discharge to the flow area, are commonly derived using Manning’s equation. In general, the values of these parameters depend on the flow depth except for some special cross sections. In this paper, improved estimates of the kinematic wave parameters for circular chan...

Discrete Spectrum and Weyl’s Asymptotic Formula for Incomplete Manifolds

Motivated by recent interest in the spectrum of the Laplacian of incomplete surfaces with isolated conical singularities, we consider more general incomplete m-dimensional manifolds with singularities on sets of codimension at least 2. With certain restrictions on the metric, we establish that the spectrum is discrete and satisfies Weyl’s asymptotic formula. 1. Discreteness of the Spectrum When...