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lgcp (version 1.3-8)

g.diff.single: g.diff.single function

Description

A function to find the minimum contrast (squared discrepancy) value based on the pair correlation function, for one specific value of phi (spatial scale) and one specific value of sigma^2 (spatial variance) for the LGCP.

Usage

g.diff.single(ps, ghat, useq, model, transform, power, ...)

Arguments

ps
A numeric vector of length 2 giving the values of phi and sigma^2, in that order.
ghat
A numeric vector giving the nonparametric estimate of the PCF at all distances specified in useq (see below)
useq
An increasing, equally spaced numeric vector giving the spatial distances at which the contrast criterion is to be evaluated.
model
A character string specifying the form of the theoretical spatial correlation function (matches 'model' argument for CovarianceFct in the RandomFields packages).
transform
A scalar-valued function which performs a numerical transformation of its argument. Used for calibration of the contrast criterion, by transforming both parametric and nonparametric forms of the PCF.
power
A scalar used for calibration of the contrast criterion: the power which to raise the parametric and nonparametric forms of the PCF to.
...
Additional arguments if required for definition of the correlation function as per 'model'. See ?CovarianceFct (RandomFields).

Value

  • A single numeric value providing the minimum contrast value for the specified value of the ps argument.