A simplified representation of the covariance structure of axially symmetric processes on the sphere

@inproceedings{Huang2012ASR,
  title={A simplified representation of the covariance structure of axially symmetric processes on the sphere},
  author={Chunfeng Huang and Haimeng Zhang and Scott M. Robeson},
  year={2012}
}
Spatial processes having covariance functions that depend solely on the distance between locations are known as homogeneous. Many random processes on the sphere are not homogeneous, especially in the latitudinal dimension. As a result, we study a class of statistical processes that exhibit axial symmetry, whereby their covariance function depends on differences in longitude alone. We develop a new and simplified representation for a valid axially symmetric process, reducing computational… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 12 CITATIONS

A P ] 2 7 Ju n 20 19 An anisotropic model for global climate data

VIEW 8 EXCERPTS
CITES RESULTS, METHODS & BACKGROUND
HIGHLY INFLUENCED

An anisotropic model for global climate data

VIEW 8 EXCERPTS
CITES RESULTS, METHODS & BACKGROUND
HIGHLY INFLUENCED

C A ] 2 1 Ju l 2 01 8 Schoenberg Coefficients on Real and Complex Spheres : Towards a Complete Picture

Pier Giovanni Bissiri, Valdir A. Menegatto, Emilio Porcu
  • 2018
VIEW 1 EXCERPT
CITES BACKGROUND

ST ] 6 J un 2 01 6 Intrinsic Random Functions on the sphere

Chunfeng Huang, Haimeng Zhang, Scott M. Robeson, Jacob Shields
  • 2018
VIEW 1 EXCERPT
CITES METHODS

References

Publications referenced by this paper.
SHOWING 1-10 OF 17 REFERENCES

Spatial variation of total column ozone on a global scale

M. L. Stein
  • Ann. Appl. Statist
  • 2007
VIEW 9 EXCERPTS
HIGHLY INFLUENTIAL

Stochastic Processes on a Sphere

VIEW 10 EXCERPTS
HIGHLY INFLUENTIAL

A modeling approach for large spatial datasets

M. L. Stein
  • J. Korean Stat. Soc
  • 2008
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Table of Integrals, Series, and Products

VIEW 2 EXCERPTS
HIGHLY INFLUENTIAL