Research Article
Some Improved Classes of Estimators in Stratified Sampling Using Bivariate Auxiliary Information
Table 1
and
of different combined 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 | 96.00 | 1 | 117.56 | 1 | 154.49 | 1 | 211.78 | 1 | 236.59 | 1 | 168.39 | 1 | 127.97 | 1 | 102.94 | | 0 | 178.81 | 0 | 230.11 | 0 | 329.15 | 0 | 564.57 | 0 | 550.00 | 0 | 321.64 | 0 | 230.37 | 0 | 175.72 | | 3.87 | 178.77 | 3.46 | 230.43 | 3.14 | 328.86 | 2.92 | 562.99 | 2.95 | 541.45 | 3.19 | 320.36 | 3.53 | 229.21 | 4.02 | 175.53 | | 18.22 | 178.81 | 25.21 | 230.11 | 44.60 | 329.15 | 207.86 | 564.57 | 103.66 | 550.00 | 33.90 | 321.64 | 20.58 | 230.37 | 15.25 | 175.72 | | 18.98 | 130.63 | 13.23 | 139.16 | 10.43 | 143.77 | 9.14 | 119.34 | 6.40 | 406.71 | 9.89 | 230.53 | 14.63 | 172.55 | 24.54 | 143.63 | | 2.04 | 97.44 | 2.33 | 119.64 | 2.67 | 157.84 | 3.08 | 218.06 | 3.32 | 243.37 | 2.86 | 171.81 | 2.45 | 130.03 | 2.11 | 104.34 | | 2.77 | 116.00 | 3.29 | 147.34 | 3.99 | 202.00 | 4.88 | 307.31 | 5.25 | 338.91 | 4.24 | 217.45 | 3.46 | 155.73 | 2.86 | 122.12 | | 9.67 | 164.20 | 16.15 | 219.66 | 45.50 | 327.67 | 81.99 | 646.17 | 72.23 | 594.80 | 48.80 | 314.14 | 17.00 | 213.07 | 9.63 | 161.47 | | 2.01 | 96.45 | 2.29 | 118.20 | 2.62 | 155.57 | 3.01 | 213.84 | 3.25 | 238.74 | 2.81 | 169.44 | 2.41 | 128.61 | 2.08 | 103.36 | | 3.29 | 156.26 | 4.33 | 196.09 | 6.39 | 277.78 | 12.81 | 526.31 | 12.29 | 526.31 | 6.10 | 277.78 | 4.09 | 196.09 | 3.15 | 156.26 | | 9.36 | 178.81 | 7.67 | 230.11 | 6.47 | 329.15 | 5.71 | 564.57 | 5.39 | 550.00 | 6.14 | 321.64 | 7.28 | 230.37 | 9.17 | 175.72 | | 1.74 | 85.04 | 1.89 | 86.93 | 2.03 | 88.40 | 2.23 | 89.99 | 2.16 | 90.63 | 1.96 | 89.92 | 1.80 | 88.57 | 1.69 | 87.28 | | 9.90 | 178.81 | 8.00 | 230.11 | 6.73 | 329.15 | 5.87 | 564.57 | 4.07 | 550.00 | 4.79 | 321.64 | 5.76 | 230.37 | 7.18 | 175.72 | | 6.76 | 178.81 | 9.24 | 230.11 | 14.17 | 329.15 | 28.50 | 564.57 | 14.63 | 550.00 | 9.47 | 321.64 | 6.91 | 230.37 | 5.35 | 175.72 | | 3.78 | 180.61 | 5.19 | 236.10 | 7.96 | 345.39 | 16.52 | 674.09 | 16.29 | 731.60 | 7.47 | 348.51 | 4.74 | 230.25 | 3.47 | 176.36 | | 3.56 | 180.89 | 5.99 | 236.77 | 8.21 | 346.11 | 17.11 | 674.87 | 17.09 | 732.41 | 7.76 | 349.12 | 5.16 | 231.58 | 4.37 | 176.72 | | 3.77 | 180.96 | 5.87 | 236.97 | 8.01 | 346.78 | 17.27 | 675.17 | 17.17 | 733.01 | 7.94 | 349.24 | 5.24 | 232.19 | 4.20 | 176.87 | | 21.07 | 182.84 | 14.45 | 239.56 | 5.45 | 349.67 | 3.45 | 678.58 | 3.18 | 750.01 | 5.09 | 351.68 | 14.23 | 234.40 | 16.98 | 178.75 | | 1.27 | 182.78 | 1.38 | 238.11 | 1.98 | 348.07 | 2.61 | 678.00 | 1.22 | 748.16 | 1.08 | 351.24 | 1.06 | 234.23 | 12 | 178.67 | | 3.83 | 181.98 | 5.22 | 238.54 | 7.97 | 347.88 | 16.52 | 678.17 | 17.52 | 749.21 | 7.73 | 351.45 | 4.89 | 234.38 | 3.61 | 178.73 | | 3.83 | 182.83 | 5.22 | 239.27 | 7.97 | 349.36 | 16.52 | 678.44 | 17.52 | 749.91 | 7.73 | 351.61 | 4.89 | 234.39 | 3.61 | 178.74 | | 3.82 | 181.92 | 5.21 | 238.54 | 7.97 | 347.88 | 16.52 | 678.17 | 17.52 | 749.20 | 7.73 | 351.45 | 4.89 | 234.23 | 3.60 | 178.73 |
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