R Under development (unstable) (2023-12-04 r85659 ucrt) -- "Unsuffered Consequences"
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> ## test the shrinkage sampling.
> 
> library(bfp)
> 
> n <- 1e+5
> R2 <- 0.7
> nObs <- 100
> p <- 20
> alpha <- 3.5
> 
> tVec <- bfp:::rshrinkage(n=n,
+                                     R2=R2,
+                                     nObs=nObs,
+                                     p=p,
+                                     alpha=alpha)
> histRet <- hist(tVec,
+                 nclass=50,
+                 prob=TRUE)
> 
> ## compare with unn density:
> grid <- histRet$mids
> 
> vals <- (1 - grid)^((p + alpha - 2) / 2 - 1) * (1 - R2 * grid)^(-(nObs - 1) / 2)
> 
> ## scale
> vals <- vals / max(vals) * max(histRet$density)
> 
> lines(grid,
+       vals,
+       col=2)
> 
> proc.time()
   user  system elapsed 
   0.68    0.01    0.68