Example of one-dimensional data interpolation by kriging, with credible intervals. Squares indicate the location of the data. The kriging interpolation, shown in red, runs along the means of the normally distributed credible intervals shown in gray. The dashed curve shows a spline that is smooth, but departs significantly from the expected values given by those means.
In statistics, originally in geostatistics, kriging or Kriging, (/ˈkriːɡɪŋ/) also known as Gaussian process regression, is a method of interpolation based on Gaussian process governed by prior covariances. Under suitable assumptions of the prior, kriging gives the best linear unbiased prediction (BLUP) at unsampled locations.[1] Interpolating methods based on other criteria such as smoothness (e.g., smoothing spline) may not yield the BLUP. The method is widely used in the domain of spatial analysis and computer experiments. The technique is also known as Wiener–Kolmogorov prediction, after Norbert Wiener and Andrey Kolmogorov.
The theoretical basis for the method was developed by the French mathematician Georges Matheron in 1960, based on the master's thesis of Danie G. Krige, the pioneering plotter of distance-weighted average gold grades at the Witwatersrand reef complex in South Africa. Krige sought to estimate the most likely distribution of gold based on samples from a few boreholes. The English verb is to krige, and the most common noun is kriging. The word is sometimes capitalized as Kriging in the literature.
Though computationally intensive in its basic formulation, kriging can be scaled to larger problems using various approximation methods.
^Chung, Sang Yong; Venkatramanan, S.; Elzain, Hussam Eldin; Selvam, S.; Prasanna, M. V. (2019). "Supplement of Missing Data in Groundwater-Level Variations of Peak Type Using Geostatistical Methods". GIS and Geostatistical Techniques for Groundwater Science. Elsevier. pp. 33–41. doi:10.1016/b978-0-12-815413-7.00004-3. ISBN 978-0-12-815413-7. S2CID 189989265.
In statistics, originally in geostatistics, kriging or Kriging, (/ˈkriːɡɪŋ/) also known as Gaussian process regression, is a method of interpolation based...
correspondent and romantic Kriging, a geostatistical method of interpolation, named after Danie Krige This page lists people with the surname Krige. If an internal...
Alice Maud Krige (Afrikaans: [ˈkriːχə]; born 28 June 1954) is a South African actress and producer. Her big break came in 1981, when she starred as the...
Mattheus Uys Krige (4 February 1910 – 10 August 1987) was a South African writer of novels, short stories, poems and plays in Afrikaans and English. In...
Toolbox for Kriging and GP modeling Kriging module in UQLab framework (Matlab) CODES Toolbox: implementations of Kriging, variational kriging and multi-fidelity...
Christman Joel Ackerman Krige (3 March 1868 – 10 August 1933) served as Speaker of the Union of South Africa. He was born in Stellenbosch, qualified as...
John Krige (/ˈkriːɡə/) is a historian of science and technology and the Kranzberg Professor at the School of History, Technology and Society, Georgia...
distance weighting ABOS - approximation based on smoothing Kriging Gradient-enhanced kriging (GEK) Thin plate spline Polyharmonic spline (the thin-plate-spline...
Several reference books provide a comprehensive overview of the discipline. Kriging is a group of geostatistical techniques to interpolate the value of a random...
Eileen Jensen Krige (1905–1995) was a prominent South African social anthropologist noted for her research on Zulu and Lovedu cultures. Together with...
Daniel Krige (born 16 July 1970) is a writer, director and actor. Born in Cape Town, South Africa, he grew up in Australia. Krige began working as a writer...
Sybella (Isie) Margaretha Smuts née Krige, also known as Ouma Smuts, (22 December 1870 — 25 February 1954), was the second First Lady of the Union of...
splines neural networks In Gaussian process regression, also known as Kriging, a Gaussian prior is assumed for the regression curve. The errors are assumed...
variogram, as defined above. However some Geostatistical methods such as kriging need valid semivariograms. In applied geostatistics the empirical variograms...
verb is to krige and the most common noun is Kriging; both are often pronounced with a hard "g", following the pronunciation of the name "Krige". Advantages...
Stein, Michael L. (1999). Interpolation of Spatial Data: Some Theory for Kriging. Springer Series in Statistics. Springer. p. 40. doi:10.1007/978-1-4612-1494-6...
Rossellini (1992) Amanda Plummer (1993) Mia Sara (1994) Bonnie Hunt (1995) Alice Krige (1996) Gloria Stuart (1997) Joan Allen (1998) Patricia Clarkson (1999) 2000s...
Japie Krige (5 July 1879 – 14 January 1961) was a South African international rugby union player who played as a centre. He made 5 appearances for South...
in the Era of Big Data". Land. 11 (10): 1692. doi:10.3390/land11101692. Krige, Danie G. (1951). "A statistical approach to some basic mine valuation problems...
Krige Schabort (born 9 September 1963) is a paralympic athlete from South Africa competing mainly in category T54 distance events. He started to represent...
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