Research Article
Some Improved Classes of Estimators in Stratified Sampling Using Bivariate Auxiliary Information
Table 2
and
of different separate estimators.
| | 0.6 | 0.7 | 0.8 | 0.9 | 0.9 | 0.8 | 0.7 | 0.6 | | 0.6 | 0.7 | 0.8 | 0.9 | 0.8 | 0.7 | 0.6 | 0.5 | | 0.6 | 0.7 | 0.8 | 0.9 | 0.7 | 0.6 | 0.5 | 0.4 | | Estimators | | | | | | | | | | | | | | | | |
| | 0 | 100 | 0 | 100 | 0 | 100 | 0 | 100 | 0 | 100 | 0 | 100 | 0 | 100 | 0 | 100 | | 1 | 92.12 | 1 | 119.54 | 1 | 154.96 | 1 | 212.28 | 1 | 236.66 | 1 | 167.43 | 1 | 128.43 | 1 | 103.45 | | 0 | 179.22 | 0 | 230.97 | 0 | 329.79 | 0 | 565.16 | 0 | 550.80 | 0 | 322.11 | 0 | 230.06 | 0 | 179.23 | | 3.86 | 179.56 | 3.45 | 230.95 | 3.15 | 328.24 | 2.95 | 563.35 | 2.97 | 542.16 | 3.20 | 320.77 | 3.51 | 230.00 | 4.00 | 177.21 | | 18.19 | 179.22 | 25.24 | 230.97 | 44.63 | 329.79 | 207.92 | 565.16 | 103.86 | 550.80 | 34.33 | 322.11 | 21.76 | 230.06 | 15.23 | 179.23 | | 19.00 | 1310 | 13.29 | 139.89 | 10.88 | 144.86 | 9.15 | 120.85 | 6.44 | 408.54 | 9.93 | 2311 | 14.77 | 171.73 | 24.64 | 142.28 | | 2.10 | 98.00 | 2.31 | 120.20 | 2.77 | 158.88 | 3.12 | 218.99 | 3.37 | 244.06 | 2.89 | 172.44 | 2.49 | 130.88 | 2.14 | 103.48 | | 2.75 | 116.92 | 3.40 | 148.73 | 4.00 | 202.91 | 4.90 | 308.00 | 5.31 | 342.15 | 4.30 | 219.35 | 3.36 | 151.53 | 2.70 | 120.77 | | 9.60 | 167.45 | 16.19 | 221.34 | 46.00 | 327.89 | 82.08 | 648.01 | 72.45 | 596.60 | 48.89 | 313.31 | 17.11 | 210.98 | 9.43 | 160.64 | | 2.12 | 96.87 | 2.30 | 117.99 | 2.59 | 155.02 | 3.09 | 214.47 | 3.30 | 242.00 | 2.88 | 173.07 | 2.45 | 127.76 | 2.09 | 104.55 | | 3.31 | 156.86 | 4.35 | 196.97 | 6.47 | 279.00 | 12.94 | 527.21 | 12.37 | 528.21 | 6.12 | 277.87 | 4.15 | 196.83 | 3.19 | 156.99 | | 9.35 | 179.22 | 7.66 | 230.97 | 6.46 | 329.79 | 5.73 | 565.16 | 5.42 | 550.80 | 6.15 | 322.11 | 7.31 | 230.06 | 9.19 | 179.23 | | 1.76 | 85.91 | 1.91 | 86.99 | 2.09 | 88.88 | 2.26 | 90.43 | 2.10 | 90.98 | 1.99 | 89.98 | 1.84 | 89.25 | 1.73 | 88.03 | | 9.93 | 179.22 | 8.11 | 230.97 | 6.77 | 329.79 | 5.89 | 565.16 | 4.13 | 550.80 | 4.82 | 322.11 | 5.70 | 230.06 | 7.20 | 179.23 | | 6.80 | 179.22 | 9.29 | 230.97 | 15.17 | 329.79 | 29.00 | 565.16 | 15.66 | 550.80 | 9.44 | 322.11 | 6.96 | 230.06 | 5.39 | 178.23 | | 3.84 | 181.09 | 5.23 | 236.97 | 7.87 | 346.65 | 16.71 | 674.85 | 16.38 | 732.28 | 7.51 | 348.81 | 4.83 | 232.03 | 3.52 | 178.24 | | 3.62 | 181.24 | 6.09 | 237.84 | 8.24 | 347.15 | 17.13 | 675.51 | 17.13 | 732.76 | 7.80 | 349.95 | 5.20 | 232.13 | 4.50 | 177.89 | | 3.84 | 181.85 | 5.90 | 237.57 | 8.20 | 349.17 | 17.76 | 676.74 | 17.10 | 732.99 | 7.98 | 351.53 | 5.32 | 234.11 | 4.23 | 176.97 | | 20.76 | 183.64 | 14.47 | 2415 | 5.44 | 352.99 | 3.46 | 679.74 | 3.20 | 751.32 | 5.15 | 353.82 | 14.67 | 236.78 | 17.00 | 182.52 | | 1.28 | 182.85 | 1.39 | 240.07 | 1.30 | 350.99 | 6.61 | 678.68 | 1.25 | 750.73 | 10 | 352.46 | 11 | 235.52 | 14 | 180.76 | | 3.88 | 182.17 | 5.25 | 239.47 | 8.07 | 350.59 | 17.00 | 678.96 | 17.59 | 749.83 | 7.80 | 352.69 | 4.95 | 235.75 | 3.63 | 180.77 | | 3.88 | 182.91 | 5.25 | 239.98 | 8.07 | 351.87 | 16.90 | 679.03 | 17.60 | 750.79 | 7.81 | 352.96 | 4.91 | 236.04 | 3.60 | 1817 | | 3.86 | 182.16 | 5.22 | 239.47 | 8.06 | 350.59 | 17.01 | 678.96 | 17.59 | 749.82 | 7.880 | 352.69 | 4.95 | 235.75 | 3.62 | 180.77 |
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