Table 3 Bivariate estimates for \(\hat {\pi }_{i,j}, i=1,2, \cdots, 6, j=1,2,\cdots, 6,\) corresponding to example 3
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 | 1/6 | 0 | 0 | 0 | 0 | 0 | 1/6 | 1 |
r s =2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
r s =3 | 0 | 0 | 0 | 5/24 | 0 | 0 | 5/24 | 1 |
r s =4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
r s =5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
r s =6 | 0 | 0 | 0 | 5/72 | 0 | 5/9 | 5/8 | 1 |
\(\hat {\pi }_{.,j}\) | 1/6 | 0 | 0 | 5/18 | 0 | 5/9 | 1 | Â |
\(\delta ^{y}_{r_{t_{j}}}\) | 1 | 0 | 0 | 1 | 0 | 1 | Â | Â |