Values of \(p\) and \(\lambda\) | Generalized chordal distance | Non-Archimedean chordal distance | |||||
---|---|---|---|---|---|---|---|
\(\left( {P_{1} ,Q} \right)\) | \(\left( {P_{2} ,Q} \right)\) | \(\left( {P_{3} ,Q} \right)\) | \(\left( {P_{1} ,Q} \right)\) | \(\left( {P_{2} ,Q} \right)\) | \(\left( {P_{3} ,Q} \right)\) | ||
p = 1 | \(\lambda = 0\) | 0.5101 | 0.2469 | 0.5172 | 0.5162 | 0.3976 | 0.5312 |
\(\lambda = 0.4\) | 0.3605 | 0.2141 | 0.3722 | ||||
\(\lambda = 0.6\) | 0.1624 | 0.0667 | 0.1703 | ||||
\(\lambda = 0.8\) | 0.1422 | 0.0472 | 0.1510 | ||||
\(\lambda = 1\) | 0.1187 | 0.0266 | 0.1275 | ||||
Ranking | \(P_{2} < P_{1} < P_{3}\) | \(P_{2} < P_{1} < P_{3}\) | |||||
p = 2 | \(\lambda = 0\) | 0.8527 | 0.5334 | 0.8649 | 0.5374 | 0.4272 | 0.5431 |
\(\lambda = 0.4\) | 0.4642 | 0.2973 | 0.4723 | ||||
\(\lambda = 0.6\) | 0.1628 | 0.1042 | 0.1718 | ||||
\(\lambda = 0.8\) | 0.1478 | 0.0529 | 0.1619 | ||||
\(\lambda = 1\) | 0.1214 | 0.0482 | 0.1362 | ||||
Ranking | \(P_{2} < P_{1} < P_{3}\) | \(P_{2} < P_{1} < P_{3}\) | |||||
p = 5 | \(\lambda = 0\) | 0.8755 | 0.5773 | 0.8799 | 0.5441 | 0.4363 | 0.5662 |
\(\lambda = 0.4\) | 0.4770 | 0.3009 | 0.4846 | ||||
\(\lambda = 0.6\) | 0.1739 | 0.1124 | 0.1826 | ||||
\(\lambda = 0.8\) | 0.1581 | 0.0606 | 0.1685 | ||||
\(\lambda = 1\) | 0.1313 | 0.0584 | 0.1445 | ||||
Ranking | \(P_{2} < P_{1} < P_{3}\) | \(P_{2} < P_{1} < P_{3}\) | |||||
p = 10 | \(\lambda = 0\) | 0.8932 | 0.6077 | 0.9038 | 0.5526 | 0.4423 | 0.5692 |
\(\lambda = 0.4\) | 0.4876 | 0.3135 | 0.4962 | ||||
\(\lambda = 0.6\) | 0.1861 | 0.1352 | 0.1947 | ||||
\(\lambda = 0.8\) | 0.1621 | 0.0771 | 0.1742 | ||||
\(\lambda = 1\) | 0.1444 | 0.0609 | 0.1589 | ||||
Ranking | \(P_{2} < P_{1} < P_{3}\) | \(P_{2} < P_{1} < P_{3}\) | |||||
p = 50 | \(\lambda = 0\) | 0.9210 | 0.6679 | 0.9442 | 0.5692 | 0.4649 | 0.5773 |
\(\lambda = 0.4\) | 0.4946 | 0.3215 | 0.5016 | ||||
\(\lambda = 0.6\) | 0.1928 | 0.1497 | 0.2040 | ||||
\(\lambda = 0.8\) | 0.1701 | 0.0808 | 0.1777 | ||||
\(\lambda = 1\) | 0.1470 | 0.0737 | 0.1612 | ||||
Ranking | \(P_{2} < P_{1} < P_{3}\) | \(P_{2} < P_{1} < P_{3}\) |