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Resample with replacement from a number of vectors; the sample will have a specified rank correlation.
resampleC(..., size, cormat)a numeric matrix with size rows. The columns contain the
samples; hence, there will be as many columns as vectors passed
through ....
numeric vectors; they need not have the same length.
an integer: the number of samples to draw
the rank correlation matrix
Enrico Schumann
See Gilli, Maringer and Schumann (2011), Section 7.1.2. The function
samples with replacement from the vectors passed through
.... The resulting samples will have an (approximate) rank
correlation as specified in cormat.
The function uses the eigenvalue decomposition to generate the
correlation; it will not break down in case of a semidefinite
matrix. If an eigenvalue of cormat is smaller than zero, a
warning is issued (but the function proceeds).
Gilli, M., Maringer, D. and Schumann, E. (2019) Numerical Methods and Optimization in Finance. 2nd edition. Elsevier. tools:::Rd_expr_doi("10.1016/C2017-0-01621-X")
Schumann, E. (2023) Financial Optimisation with R (NMOF Manual). https://enricoschumann.net/NMOF.htm#NMOFmanual
repairMatrix
## a sample
v1 <- rnorm(20)
v2 <- runif(50)
v3 <- rbinom(100, size = 50, prob = 0.4)
## a correlation matrix
cormat <- array(0.5, dim = c(3, 3))
diag(cormat) <- 1
cor(resampleC(a = v1, b = v2, v3, size = 100, cormat = cormat),
method = "spearman")
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