corRGneit | R Documentation |
This function is a constructor for the 'corRGneit'
class, representing the Gneiting approximation to the Gaussian correlation structure. Letting r
denote the range, the correlation between two observations a distance d < r / s
apart is (1 + 8 s x + 25 (s x)^2 + 32 (s x)^3) (1 - s x)^8
, where s = 0.301187465825. If d \geq r / s
the correlation is zero.
corRGneit(value = numeric(0), form = ~ 1,
metric = c("euclidean", "maximum", "manhattan", "haversine"),
radius = 3956)
value |
optional numeric “range” parameter value for the Gneiting correlation structure, which must be greater than zero. Defaults to |
form |
one-sided formula of the form |
metric |
optional character string specifying the distance metric to be used. The currently available options are |
radius |
radius to be used in the haversine formula for great-circle distance. Defaults to the Earth's radius of 3,956 miles. |
Object of class 'corRGneit'
, also inheriting from class 'corRSpatial'
, representing the Gneiting spatial correlation structure.
When "haversine"
is used as the distance metric, longitude and latitude coordinates must be given as the first and second covariates, respectively, in the formula specification for the form
argument.
Brian Smith brian-j-smith@uiowa.edu
Gneiting, T. (1999), “Correlation Functions for Atmospheric Data Analysis”, Quarterly Journal of the Royal Meteorological Society, 125(559), 2449-2464.
Venables, W.N. and Ripley, B.D. (1997) “Modern Applied Statistics with S-plus”, 2nd Edition, Springer-Verlag.
corRClasses
sp1 <- corRGneit(form = ~ x + y + z)
spatDat <- data.frame(x = (0:4)/4, y = (0:4)/4)
cs1Gneit <- corRGneit(1, form = ~ x + y)
cs1Gneit <- Initialize(cs1Gneit, spatDat)
corMatrix(cs1Gneit)
cs2Gneit <- corRGneit(1, form = ~ x + y, metric = "man")
cs2Gneit <- Initialize(cs2Gneit, spatDat)
corMatrix(cs2Gneit)
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