Table 2 PREs values of different estimators of \(\overline{Y}\) with respect to \(\overline{y}\).
Different values of scalars | Estimators | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
\(a_{st}\) | \(b_{st}\) | \(t_{1}\) | \(t_{1\left( e \right)}\) | \(t_{2}\) | \(t_{2\left( e \right)}\) | \(t_{3}\) | \(t_{4}\) | \(t_{5}\) | \(t_{6}\) | \(t_{7}\)(γ = -1) | \(t_{7\left( m \right)}\)(γ = -1) | \(t_{8}\)(δ = -1, η = 1) |
\(C_{{\phi \left( {st} \right)}}\) | NP | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.17 | 103.17 | 3366.42 | 1.71E+10 | 1.49E+11 |
1 | NP | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.17 | 103.17 | 3363.75 | 1.21E+09 | 1.06E+10 |
\(\beta_{{2\phi \left( {st} \right)}}\) | NP | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.17 | 103.17 | 3318.90 | 6.68E+06 | 5.84E+07 |
\(C_{{\phi \left( {st} \right)}}\) | \(\beta_{{2\phi \left( {st} \right)}}\) | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.17 | 103.17 | 3308.06 | 4.44E+06 | 3.88E+07 |
1 | \(\beta_{{2\phi \left( {st} \right)}}\) | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.17 | 103.17 | 3162.20 | 3.43E+05 | 3.02E+06 |
\(C_{{\phi \left( {st} \right)}}\) | 1 | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.17 | 103.17 | 2786.33 | 3.47E+04 | 3.10E+05 |
1 | \(C_{{\phi \left( {st} \right)}}\) | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.18 | 103.17 | 1747.40 | 2.33E+03 | 2.02E+04 |
\(\beta_{{2\phi \left( {st} \right)}}\) | 1 | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.18 | 103.17 | 1573.86 | 1.70E+03 | 1.43E+04 |
\(\beta_{{2\phi \left( {st} \right)}}\) | \(C_{{\phi \left( {st} \right)}}\) | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.18 | 103.17 | 1519.10 | 1.55E+03 | 1.29E+04 |
NP | \(\beta_{{2\phi \left( {st} \right)}}\) | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.18 | 103.17 | 1515.26 | 1.54E+03 | 1.28E+04 |
NP | 1 | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.18 | 103.17 | 1499.67 | 1.50E+03 | 1.24E+04 |
NP | \(C_{{\phi \left( {st} \right)}}\) | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.18 | 103.17 | 1498.76 | 1.50E+03 | 1.24E+04 |
1 | 0 | 101.82 | 101.75 | 92.28 | 96.75 | 102.00 | 103.17 | 103.18 | 103.17 | 1498.43 | 1.50E+03 | 1.24E+04 |
