A review of non-stationary spatial methods for geodetic least-squares collocation
This paper reviews a field that is herein termed spatial ?non-stationarity?, which is specifically concerned with non-stationarity in the geodetic theory of least-squares collocation (LSC). In practice, many geodesists rely on stationary assumptions in LSC, i.e., using a constant mean and isotropic...
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| Format: | Journal Article |
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Spatial Sciences Institute, Australia
2010
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| Online Access: | http://hdl.handle.net/20.500.11937/26916 |
| _version_ | 1848752120629559296 |
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| author | Darbeheshti, Neda Featherstone, Will |
| author_facet | Darbeheshti, Neda Featherstone, Will |
| author_sort | Darbeheshti, Neda |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper reviews a field that is herein termed spatial ?non-stationarity?, which is specifically concerned with non-stationarity in the geodetic theory of least-squares collocation (LSC). In practice, many geodesists rely on stationary assumptions in LSC, i.e., using a constant mean and isotropic and spatially invariant covariance for estimation and prediction of geodetic quantities. However, new theories in spatial statistics and geostatistics allow for better statistical methodologies to be used in geodesy. The aim of this paper is to introduce these methodologies and adapt them for dealing with non-stationarity in LSC. |
| first_indexed | 2025-11-14T08:03:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-26916 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:03:34Z |
| publishDate | 2010 |
| publisher | Spatial Sciences Institute, Australia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-269162017-09-13T15:53:51Z A review of non-stationary spatial methods for geodetic least-squares collocation Darbeheshti, Neda Featherstone, Will spatial statistics non-stationarity geostatistics geodesy least-squares collocation This paper reviews a field that is herein termed spatial ?non-stationarity?, which is specifically concerned with non-stationarity in the geodetic theory of least-squares collocation (LSC). In practice, many geodesists rely on stationary assumptions in LSC, i.e., using a constant mean and isotropic and spatially invariant covariance for estimation and prediction of geodetic quantities. However, new theories in spatial statistics and geostatistics allow for better statistical methodologies to be used in geodesy. The aim of this paper is to introduce these methodologies and adapt them for dealing with non-stationarity in LSC. 2010 Journal Article http://hdl.handle.net/20.500.11937/26916 10.1080/14498596.2010.521971 Spatial Sciences Institute, Australia fulltext |
| spellingShingle | spatial statistics non-stationarity geostatistics geodesy least-squares collocation Darbeheshti, Neda Featherstone, Will A review of non-stationary spatial methods for geodetic least-squares collocation |
| title | A review of non-stationary spatial methods for geodetic least-squares collocation |
| title_full | A review of non-stationary spatial methods for geodetic least-squares collocation |
| title_fullStr | A review of non-stationary spatial methods for geodetic least-squares collocation |
| title_full_unstemmed | A review of non-stationary spatial methods for geodetic least-squares collocation |
| title_short | A review of non-stationary spatial methods for geodetic least-squares collocation |
| title_sort | review of non-stationary spatial methods for geodetic least-squares collocation |
| topic | spatial statistics non-stationarity geostatistics geodesy least-squares collocation |
| url | http://hdl.handle.net/20.500.11937/26916 |