approximate_strauss_constant: Approximate Strauss constant (master function)

In antiphon/rstrauss: Simulates Strauss point process, in 2D and 3D

Approximate Strauss constant (master function)

Description

Approximate the (log of) normalizing constant in the Strauss density. Log-scale.

Usage

approximate_strauss_constant(beta, gamma, range, bbox, method = "R", ...)

Arguments

beta	beta
gamma	gamma
range	range
bbox	bounding box
method	OT, PS, P, R or R3. Default: R
...	further details for methods For all methods but "PS" conditioning on number of points is by setting the named parameter n. Methods: OT : Direct approx., Ogata&Tanemura 1981. approximate_strauss_constant_OT P: Direct approx., Penttinen 1998. approximate_strauss_constant_penttinen PS: MC unbiased estimate, Path sampling Berthelsen&Moller 2003. approximate_strauss_constant_PS R: My own version of Penttinen for unconditional case. Based on a normal approximation (not published). Works when beta*Area >> 0 R3: Third order approx. Same as R but with extra term. (See Ripley 88 p.60-62).approximate_strauss_constant_R3 The returned value is in log-scale.

Examples

beta <- 100
gamma <- 0.1
R <- 0.05
bbox <- cbind(0:1, 0:1)
for(m in c("P", "PS", "R3")) print(approximate_strauss_constant(beta, gamma, R, bbox, m))

approximate_strauss_constant(beta, gamma, R, bbox, n=100)

antiphon/rstrauss documentation built on June 2, 2022, 7:19 a.m.