Table 1 Bivariate estimates for \(\hat {\pi }_{i,j}, i=1,2, \cdots, 6, j=1,2,\cdots, 6,\) corresponding to example 1

From: Nonparametric rank based estimation of bivariate densities given censored data conditional on marginal probabilities

i/j	r _t=1	r _t=2	r _t=3	r _t=4	r _t=5	r _t=6	\(\hat {\pi }_{i,.}\)	\(\delta ^{x}_{r_{s_{i}}}\)
r _s=1	0	0	1/6	0	0	0	1/6	1
r _s=2	1/6	0	0	0	0	0	1/6	1
r _s=3	0	1/6	0	0	0	0	1/6	1
r _s=4	0	0	0	0	0	0	0	0
r _s=5	0	0	0	0	0	1/4	1/4	1
r _s=6	0	0	0	1/6	0	1/12	1/4	1
\(\hat {\pi }_{.,j}\)	1/6	1/6	1/6	1/6	0	1/3	1
\(\delta ^{y}_{r_{t_{j}}}\)	1	1	1	1	0	1

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