Table 2.
Relative efficiencies of ratio estimators for =0.03.
| Ρ | n | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.05 | 10 | 18.44 | 24.84 | 11.87 | 14.04 | 6.95 | 7.53 | 2.92 | 2.98 | 1.63 | 1.64 | 0.98 | 0.98 |
| 20 | 18.81 | 25.21 | 12.05 | 14.23 | 6.94 | 7.51 | 2.93 | 2.98 | 1.63 | 1.63 | 0.98 | 0.98 | |
| 30 | 18.06 | 24.08 | 12.17 | 14.33 | 6.76 | 7.30 | 2.95 | 3.01 | 1.64 | 1.65 | 0.98 | 0.98 | |
| 50 | 18.78 | 25.21 | 11.91 | 14.06 | 6.87 | 7.44 | 2.92 | 2.98 | 1.63 | 1.64 | 0.98 | 0.98 | |
| 200 | 17.90 | 23.86 | 12.20 | 14.44 | 6.89 | 7.46 | 2.96 | 3.02 | 1.64 | 1.64 | 0.98 | 0.98 | |
| 500 | 18.69 | 25.15 | 11.78 | 13.89 | 6.82 | 7.38 | 2.94 | 3.00 | 1.63 | 1.64 | 0.98 | 0.98 | |
| 0.25 | 10 | 19.88 | 26.52 | 13.04 | 15.37 | 7.42 | 8.02 | 3.19 | 3.26 | 1.77 | 1.77 | 1.06 | 1.06 |
| 20 | 20.75 | 27.63 | 12.93 | 15.22 | 7.43 | 8.04 | 3.17 | 3.24 | 1.77 | 1.78 | 1.07 | 1.07 | |
| 30 | 20.42 | 27.28 | 12.78 | 15.10 | 7.35 | 7.94 | 3.19 | 3.25 | 1.77 | 1.78 | 1.06 | 1.06 | |
| 50 | 19.92 | 26.63 | 13.14 | 15.50 | 7.42 | 8.02 | 3.20 | 3.26 | 1.76 | 1.77 | 1.06 | 1.06 | |
| 200 | 20.91 | 28.10 | 13.34 | 15.79 | 7.53 | 8.15 | 3.19 | 3.26 | 1.77 | 1.78 | 1.06 | 1.06 | |
| 500 | 20.78 | 27.95 | 13.40 | 15.84 | 7.51 | 8.14 | 3.19 | 3.25 | 1.78 | 1.79 | 1.06 | 1.06 | |
| 0.50 | 10 | 23.00 | 30.66 | 14.91 | 17.67 | 8.38 | 9.08 | 3.55 | 3.62 | 1.98 | 1.99 | 1.18 | 1.18 |
| 20 | 23.01 | 30.97 | 14.46 | 17.08 | 8.26 | 8.94 | 3.59 | 3.66 | 1.99 | 1.99 | 1.19 | 1.19 | |
| 30 | 22.17 | 29.52 | 14.57 | 17.22 | 8.32 | 9.01 | 3.58 | 3.66 | 1.98 | 1.99 | 1.19 | 1.19 | |
| 50 | 22.67 | 30.27 | 14.58 | 17.21 | 8.37 | 9.06 | 3.58 | 3.65 | 1.99 | 2.00 | 1.19 | 1.19 | |
| 200 | 22.60 | 30.03 | 14.94 | 17.66 | 8.40 | 9.08 | 3.56 | 3.63 | 1.99 | 2.00 | 1.19 | 1.19 | |
| 500 | 22.83 | 30.65 | 15.00 | 17.76 | 8.34 | 9.02 | 3.59 | 3.66 | 1.98 | 1.99 | 1.19 | 1.19 | |
| 0.75 | 10 | 24.81 | 33.09 | 16.93 | 20.09 | 9.60 | 10.40 | 4.06 | 4.15 | 2.24 | 2.25 | 1.34 | 1.34 |
| 20 | 24.86 | 33.04 | 16.39 | 19.32 | 9.41 | 10.19 | 4.05 | 4.13 | 2.25 | 2.26 | 1.35 | 1.35 | |
| 30 | 25.41 | 33.82 | 16.37 | 19.36 | 9.47 | 10.24 | 4.06 | 4.14 | 2.24 | 2.25 | 1.35 | 1.35 | |
| 50 | 26.32 | 35.16 | 16.83 | 19.90 | 9.60 | 10.39 | 4.04 | 4.12 | 2.26 | 2.26 | 1.35 | 1.35 | |
| 200 | 26.26 | 35.11 | 16.87 | 19.99 | 9.55 | 10.33 | 4.08 | 4.16 | 2.26 | 2.27 | 1.35 | 1.35 | |
| 500 | 25.37 | 34.18 | 16.41 | 19.35 | 9.55 | 10.34 | 4.05 | 4.13 | 2.24 | 2.25 | 1.35 | 1.35 | |
| 0.95 | 10 | 29.52 | 39.78 | 18.81 | 22.26 | 10.59 | 11.47 | 4.54 | 4.63 | 2.52 | 2.53 | 1.50 | 1.50 |
| 20 | 29.23 | 39.04 | 18.30 | 21.64 | 10.68 | 11.55 | 4.57 | 4.66 | 2.52 | 2.53 | 1.51 | 1.51 | |
| 30 | 28.55 | 38.23 | 18.72 | 22.07 | 10.46 | 11.32 | 4.56 | 4.65 | 2.52 | 2.53 | 1.51 | 1.51 | |
| 50 | 28.81 | 38.45 | 18.58 | 21.91 | 10.63 | 11.49 | 4.54 | 4.63 | 2.52 | 2.53 | 1.51 | 1.51 | |
| 200 | 27.91 | 36.84 | 18.67 | 22.04 | 10.67 | 11.53 | 4.54 | 4.63 | 2.52 | 2.53 | 1.51 | 1.51 | |
| 500 | 27.28 | 36.19 | 18.10 | 21.37 | 10.58 | 11.45 | 4.54 | 4.63 | 2.53 | 2.54 | 1.51 | 1.51 | |