32  Statistical Topics

Table 32.1 summarizes the S3 generic functions for statistical functionalities implemented in these packages and/or covered in this Quarto book, and where to find them.

Table 32.1: Index of Statistical Topics
Statistical Topic S3 Generic Function Where to Find in Appendix
aggregation stats::aggregate() of vectorlist (Section 27.4), of hyperframe (Section 17.5)
aggregation of marks aggregate_marks() of ppp.object (Section 23.8), of ppplist (Section 24.4), of hyperframe (Section 17.6)
append to (existing) marks `append_marks<-`() of ppp.object (Section 23.10)
batch process on eligible marks Emark_(), Vmark_(), etc. of ppp.object (Section 23.15), of ppplist (Section 24.7), of hyperframe (Section 17.13)
global envelope test 🚧 of ppp.object (Section 23.14), of ppplist (🚧), of hyperframe (🚧)
interpolation approxfun.*(), splinefun.*() of fv.object (Section 13.4)
kernel density (Becker, Chambers, and Wilks 1988) of numeric-marks density_marks() of ppp.object (Section 23.4), of ppplist (Section 24.1)
kernel density estimates kerndens() of numeric vector and of ppp.object (Section 23.5), of ppplist (Section 24.2), of anylist (Section 11.1), of hyperframe (Section 17.3)
\(k\)-means clustering (Hartigan and Wong 1979) .kmeans() of ppp.object (Section 23.12), of ppplist (Section 24.6), of hyperframe (Section 17.12)
\(k\)-means clustering, split by .kmeans() |> split() of ppp.object (Section 23.12.2), of ppplist (Section 24.6.2), of hyperframe (Section 17.12.2)
Math groupGeneric of numeric-marks methods::Math() of ppp.object (Section 23.3)
quantile stats::quantile() of ppp.object (Section 23.6), of ppplist (Section 24.3), of anylist (Section 11.2), of hyperframe (Section 17.4)
\(r_\text{max}\), default .rmax() of ppp.object (Section 23.11), of fv.object (Section 13.2), of ppplist (Section 24.5), of hyperframe (Section 17.9)
\(r_\text{max}\), legal of fv.object (Section 13.3), of fvlist (Section 14.3, Section 17.10)
\(r_\text{max}\), replace with theo .illegal2theo(), .disrecommend2theo() of fv.object (Section 13.3.1), of fvlist (Section 14.4), of hyperframe (Section 17.11)
split base::split() of anylist (Section 11.3)
superimpose spatstat.geom::superimpose() of hyperframe (Section 17.8)
Tjøstheim (1978)’s coefficient, pairwise pairwise_cor_spatial() of ppp.object (Section 23.13)
trapezoidal integration trapz.*(), cumtrapz.*() general theory (Chapter 9)
trapezoidal integration, average vertical height vtrapz(), cumvtrapz(), visualize_vtrapz() general theory (Section 9.1), of fv.object (Figure 9.1)