mu
returns a pre-computed table and lookup functions for the
estimated limit curve for dimension normalized curvature measures
(see accompanying vignette for definition; we use C=0.2
).
mu()
The output of mu
is a list of three elements:
table
: a table of function values
lkup_rho
: a corresponding lookup function for rho in terms of kappa
lkup_kappa
: a corresponding lookup function for kappa in terms of rho
Package: symconivol
M <- mu() ggplot(M$table, aes(x=rho,y=kappa)) + geom_line()rho <- (0:10)/10 matrix(c(rho, M$lkup_kappa(rho)),11,2)#> [,1] [,2] #> [1,] 0.0 0.0000 #> [2,] 0.1 0.0100 #> [3,] 0.2 0.1076 #> [4,] 0.3 0.2246 #> [5,] 0.4 0.3590 #> [6,] 0.5 0.5000 #> [7,] 0.6 0.6407 #> [8,] 0.7 0.7754 #> [9,] 0.8 0.8919 #> [10,] 0.9 0.9900 #> [11,] 1.0 1.0000kappa <- (0:10)/10 matrix(c(M$lkup_rho(kappa), kappa),11,2)#> [,1] [,2] #> [1,] 0.0000 0.0 #> [2,] 0.1928 0.1 #> [3,] 0.2801 0.2 #> [4,] 0.3571 0.3 #> [5,] 0.4288 0.4 #> [6,] 0.5000 0.5 #> [7,] 0.5712 0.6 #> [8,] 0.6429 0.7 #> [9,] 0.7199 0.8 #> [10,] 0.8072 0.9 #> [11,] 1.0000 1.0