Estimating Extreme Geoelectric Field Values for the Australian Region

Estimating Tail Decay for Stationary Sequences via Extreme Values

We study estimation of the tail decay parameter of the marginal distribution corresponding to a discrete time, real valued stationary stochastic process. Assuming that the underlying process is short-range dependent, we investigate properties of estimators of the tail decay parameter which are based on the maximal extreme value of the process observed over a sampled time interval. These estimat...

Extreme values for two-dimensional discrete Gaussian free field

We consider in this paper the collection of near maxima of the discrete, two dimensional Gaussian free field in a box with Dirichlet boundary conditions. We provide a rough description of the geometry of the set of near maxima, estimates on the gap between the two largest maxima, and precise (in the exponential scale) estimate for the right tail on the law of the centered maximum.

Estimating the Data Region Using Minimum and Maximum Values

Estimating a Few Extreme Singular Values and Vectors for Large-Scale Matrices in Tensor Train Format

We propose new algorithms for singular value decomposition (SVD) of very large-scale matrices based on a low-rank tensor approximation technique called the tensor train (TT) format. The proposed algorithms can compute several dominant singular values and corresponding singular vectors for large-scale structured matrices given in a TT format. The computational complexity of the proposed methods ...

Estimating pKa values for pentaoxyphosphoranes.

pKa values are estimated independently, by two entirely different methods, for the ionizations of the apical and equatorial OH groups of two representative hydroxyphosphoranes. A bond length-pKa correlation based on crystal structures of cyclohexanol derivatives gives values of 13.5 +/- 1.5 and 8.62 +/- 1.87, respectively, for the apical and equatorial OH groups of tetracyclohexyloxyhydroxyphos...