random_labelling: Random labeling with K_f functions

Description Usage Arguments References See Also

Description

Perform simulations under the random labelling for a marked point pattern and estimate K_f- or L_f-functions for the pattern and simulations.

Usage

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random_labelling(pattern, mtf_name = "m", nsim = 999L, r_min = NULL,
  r_max = NULL, r_vec = NULL, use_L = TRUE,
  edge_correction = "translate", use_theo = TRUE, method = "permute",
  use_biased_lambda2 = FALSE)

Arguments

pattern

A ppp object as the simple marked point pattern to be analysed. The marks need to be in the form of a numeric vector. The window has to have the type "rectangle".

mtf_name

A vector of mark test function names. "1" stands for the unmarked K-function. Accepted values are '1', 'm', 'mm', 'gamma', 'gammaAbs' and 'morAbs'. See summ_func_random_labelling.

nsim

The number of permutations.

r_min

The minimum radius to include.

r_max

A positive scalar value representing the maximum radius that should be considered. r_vec overrides r_max in calculation of functions. However, after calculation of functions, they are cropped to the interval [r_min, r_max] (if max(r_vec) > r_max loss in computing time). By default, r_max is NULL and will get a sensible default.

r_vec

A monotonically increasing vector of non-negative r-values to act as the endpoints of the bins for the K_f-functions. The bins are exclusive on the left and inclusive on the right. If the first vector element has value zero, it will be regarded as the collapsed bin [0, 0], and the next bin will start from and exclude 0.

use_L

A boolean describing whether the L_f function, L_f = sqrt(K_f/pi), should be used instead of the K_f function.

edge_correction

The name of the edge correction to be used. Options are 'translate' and 'none'.

use_theo

Whether to use the theoretical summary function or the mean of the simulations.

method

The name of the method to create simulations under the null hypothesis. 'permute' results in permutations of the marks. Using 'sample' will sample the marks from the empirical mark distribution with replacement. 'permute' is the default.

use_biased_lambda2

A logical scalar on whether to use the biased or the unbiased (in the Poisson case) estimate of the intensity squared.

References

Myllymäki, M., Grabarnik, P., Seijo, H. and Stoyan. D. (2013). Deviation test construction and power comparison for marked spatial point patterns. arXiv:1306.1028

See Also

rank_envelope, st_envelope, qdir_envelope, deviation_test.


myllym/spptest documentation built on May 23, 2019, noon