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Publications Influence

Space–Time Covariance Functions

- M. Stein
- Mathematics
- 1 March 2005

This work considers a number of properties of space–time covariance functions and how these relate to the spatial-temporal interactions of the process. First, it examines how the smoothness away from… Expand

356 34

Spatial variation of total column ozone on a global scale

- M. Stein
- Mathematics
- 1 June 2007

The spatial dependence of total column ozone varies strongly with latitude, so that homogeneous models (invariant to all rotations) are clearly unsuitable. However, an assumption of axial symmetry,… Expand

87 26- PDF

Nonstationary spatial covariance functions

- M. Stein
- Mathematics
- 2005

A method is described for producing explicit nonstationary spatial covariance functions that, for example, allows both the local geometric anisotropy and the degree of differentiability to vary… Expand

73 16- PDF

Statistical Interpolation of Spatial Data: Some Theory for Kriging

- M. Stein
- Chemistry
- 1999

This disclosure covers a method of removing a preselected portion of the fat or oil from the surface of a vessel of aqueous fluid. An edible carbohydrate fatty acid ester in powdered form (preferably… Expand

102 12

A modeling approach for large spatial datasets

- M. Stein
- Mathematics
- 1 March 2008

Abstract For Gaussian spatial processes observed at n irregularly sited locations, exact computation of the likelihood generally requires O ( n 3 ) operations and O ( n 2 ) memory. If we can write… Expand

97 11

Local likelihood estimation for nonstationary random fields

- Ethan B. Anderes, M. Stein
- Mathematics, Computer Science
- J. Multivar. Anal.
- 1 March 2011

TLDR

39 11- PDF

Fast and Exact Simulation of Fractional Brownian Surfaces

- M. Stein
- Mathematics
- 1 September 2002

Fractional Brownian surfaces are commonly used as models for landscapes and other physical processes in space. This work shows how to simulate fractional Brownian surfaces on a grid efficiently and… Expand

90 10

Fixed-Domain Asymptotics for Spatial Periodograms

- M. Stein
- Mathematics
- 1 December 1995

Abstract The periodogram for a spatial process observed on a lattice is often used to estimate the spectral density. The bases for such estimators are two asymptotic properties that periodograms… Expand

65 10

An Approach to Producing Space–Time Covariance Functions on Spheres

- Mikyoung Jun, M. Stein
- Mathematics, Computer Science
- Technometrics
- 1 November 2007

TLDR

104 7- PDF