Values of \(p\) and \(\lambda\) | Generalized chordal distance | Non-archimedean chordal distance | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
\(\left( {P_{1} ,Q} \right)\) | \(\left( {P_{2} ,Q} \right)\) | \(\left( {P_{3} ,Q} \right)\) | \(\left( {P_{4} ,Q} \right)\) | \(\left( {P_{5} ,Q} \right)\) | \(\left( {P_{1} ,Q} \right)\) | \(\left( {P_{2} ,Q} \right)\) | \(\left( {P_{3} ,Q} \right)\) | \(\left( {P_{4} ,Q} \right)\) | \(\left( {P_{5} ,Q} \right)\) | ||
p = 1 | \(\lambda = 0\) | 0.0912 | 0.5321 | 0.6036 | 0.3418 | 0.3477 | 0.1950 | 0.6602 | 0.6821 | 0.4408 | 0.5606 |
\(\lambda = 0.4\) | 0.1502 | 0.6345 | 0.6404 | 0.4166 | 0.5105 | ||||||
\(\lambda = 0.6\) | 0.0921 | 0.3973 | 0.4051 | 0.2677 | 0.2954 | ||||||
\(\lambda = 0.8\) | 0.0601 | 0.2668 | 0.2724 | 0.1740 | 0.1904 | ||||||
\(\lambda = 1\) | 0.0371 | 0.1738 | 0.1801 | 0.1115 | 0.1238 | ||||||
Ranking | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | |||||||||
p = 2 | \(\lambda = 0\) | 0.2924 | 0.7636 | 0.8522 | 0.5426 | 0.6009 | 0.2943 | 0.7256 | 0.7450 | 0.5002 | 0.6309 |
\(\lambda = 0.4\) | 0.2713 | 0.7030 | 0.7110 | 0.4812 | 0.5801 | ||||||
\(\lambda = 0.6\) | 0.1567 | 0.6404 | 0.6654 | 0.4463 | 0.4902 | ||||||
\(\lambda = 0.8\) | 0.1001 | 0.4325 | 0.4526 | 0.2846 | 0.3131 | ||||||
\(\lambda = 1\) | 0.0622 | 0.2813 | 0.3007 | 0.1821 | 0.2018 | ||||||
Ranking | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | |||||||||
p = 5 | \(\lambda = 0\) | 0.3113 | 0.7785 | 0.8694 | 0.5649 | 0.6216 | 0.4601 | 0.9328 | 0.9855 | 0.7031 | 0.7530 |
\(\lambda = 0.4\) | 0.4244 | 0.8840 | 0.9003 | 0.7865 | 0.7308 | ||||||
\(\lambda = 0.6\) | 0.2175 | 0.6807 | 0.7215 | 0.5602 | 0.5976 | ||||||
\(\lambda = 0.8\) | 0.1404 | 0.6506 | 0.6955 | 0.4438 | 0.5052 | ||||||
\(\lambda = 1\) | 0.0901 | 0.4202 | 0.4618 | 0.2834 | 0.3228 | ||||||
Ranking | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | |||||||||
p = 10 | \(\lambda = 0\) | 0.3258 | 0.7813 | 0.8698 | 0.5682 | 0.6289 | 0.5322 | 0.9416 | 0.9601 | 0.7842 | 0.8001 |
\(\lambda = 0.4\) | 0.5103 | 0.8621 | 0.9315 | 0.6501 | 0.7751 | ||||||
\(\lambda = 0.6\) | 0.2514 | 0.8409 | 0.9168 | 0.5952 | 0.6925 | ||||||
\(\lambda = 0.8\) | 0.1626 | 0.8024 | 0.8908 | 0.5620 | 0.6645 | ||||||
\(\lambda = 1\) | 0.1036 | 0.5137 | 0.5872 | 0.3601 | 0.4244 | ||||||
Ranking | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | |||||||||
p = 50 | \(\lambda = 0\) | 0.3474 | 0.8085 | 0.8767 | 0.5727 | 0.6378 | 0.6205 | 0.8178 | 0.8520 | 0.6575 | 0.7063 |
\(\lambda = 0.4\) | 0.5974 | 0.7924 | 0.8367 | 0.6220 | 0.7605 | ||||||
\(\lambda = 0.6\) | 0.3109 | 0.7306 | 0.8134 | 0.5109 | 0.6025 | ||||||
\(\lambda = 0.8\) | 0.2041 | 0.6655 | 0.7804 | 0.4838 | 0.5853 | ||||||
\(\lambda = 1\) | 0.1308 | 0.6510 | 0.7673 | 0.4644 | 0.5578 | ||||||
Ranking | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) | \(P_{1} < P_{4} < P_{5} < P_{2} < P_{3}\) |