Description Usage Arguments Value Note Author(s) References See Also Examples

This function is a constructor for the `'corRCauchy'`

class, representing a Cauchy (rational quadratic) spatial correlation structure. Letting *r* denote the range, the correlation between two observations a distance *d* apart is *1/(1+(d/r)^2)*.

1 2 3 | ```
corRCauchy(value = numeric(0), form = ~ 1,
metric = c("euclidean", "maximum", "manhattan", "haversine"),
radius = 3956)
``` |

`value` |
optional numeric “range” parameter value for the rational quadratic 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 `'corRCauchy'`

, also inheriting from class `'corRSpatial'`

, representing a rational quadratic 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 [email protected] and Jose Pinheiro [email protected], and Douglas Bates [email protected]

Cressie, N.A.C. (1993), “Statistics for Spatial Data”, J. Wiley & Sons.

Venables, W.N. and Ripley, B.D. (1997) “Modern Applied Statistics with S-plus”, 2nd Edition, Springer-Verlag.

1 2 3 4 5 6 7 8 9 10 11 | ```
sp1 <- corRCauchy(form = ~ x + y + z)
spatDat <- data.frame(x = (0:4)/4, y = (0:4)/4)
cs1Cauchy <- corRCauchy(1, form = ~ x + y)
cs1Cauchy <- Initialize(cs1Cauchy, spatDat)
corMatrix(cs1Cauchy)
cs2Cauchy <- corRCauchy(1, form = ~ x + y, metric = "man")
cs2Cauchy <- Initialize(cs2Cauchy, spatDat)
corMatrix(cs2Cauchy)
``` |

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