Empirical and nominal coverage probability based on 1000 simulation runs for the estimated parameter values over varying sample sizes (n) and validation proportions. Coverage is calculated for the naive bootstrap (circle points) and the simultaneous bootstrap (triangular points), over nominal levels |$\lbrace 0.9,0.91,\dots ,0.99\rbrace$|. Coverage is calculated based on the asymptotic variance continuous over this range (lines). Each parameter is shown in different colors. A dotted line in black indicates where the empirical coverage equals the nominal coverage.