TABLE 3.

Simulation results regarding the coverage probabilities of the 95% simultaneous confidence bands for $P_{0,2}(·)$ and $P_{0,2}^{\prime }(·)$ based on the standard method that ignores the within‐cluster dependence (naïve) and the proposed method with (i) the estimated processes ${\widehat{B}}_{n,2}$ and ${\widehat{B}}_{n,2}^{\prime }$ (IF) and (ii) the nonparametric cluster bootstrap (CB)

		$P_{0,2}(·)$			$P_{0,2}^{\prime }(·)$
n	$F_M$	Naïve	IF	CB	Naïve	IF	CB
20	$\mathcal{U}[5,15]$	0.856	0.922	0.930	0.826	0.917	0.911
	$\mathcal{U}[10,30]$	0.798	0.944	0.952	0.771	0.946	0.938
40	$\mathcal{U}[5,15]$	0.892	0.948	0.951	0.849	0.945	0.940
	$\mathcal{U}[10,30]$	0.802	0.941	0.942	0.750	0.945	0.946
80	$\mathcal{U}[5,15]$	0.878	0.945	0.943	0.788	0.940	0.942
	$\mathcal{U}[10,30]$	0.820	0.941	0.944	0.689	0.945	0.940

Abbreviations: $F_M$: discrete uniform distribution of the cluster size; n, number of clusters.

Note. Results under right censoring.