Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1152111 | Statistics & Probability Letters | 2012 | 6 Pages |
Abstract
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 complexity considerably. In addition, we explore longitudinally reversible processes and the construction of parametric models for axially symmetric processes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Chunfeng Huang, Haimeng Zhang, Scott M. Robeson,