Table 2 Coverage rates and median interval widths for estimating spread of the matrix Fisher distribution via nonparametric and parametric methods using various (κ,n) pairs
| Â | Nonparametric | Parametric | |||
|---|---|---|---|---|---|
(κ,n) | Coverage rate | Median width (AMA) | Median width (κ) | Coverage rate | Median width (κ) |
(1,10) | 78.3 | 0.7061 | 1.3685 | 92.1 | 1.1621 |
(1,30) | 89.5 | 0.4663 | 0.6709 | 95.0 | 0.6428 |
(1,100) | 93.7 | 0.2635 | 0.3528 | 94.9 | 0.3475 |
(5,10) | 82.2 | 0.2594 | 8.3839 | 91.1 | 5.6748 |
(5,30) | 91.5 | 0.1584 | 3.3620 | 94.4 | 2.9355 |
(5,100) | 93.2 | 0.0882 | 1.6469 | 94.9 | 1.5676 |
(20,10) | 84.2 | 0.1257 | 33.4181 | 90.8 | 23.4370 |
(20,30) | 89.7 | 0.0756 | 13.8188 | 95.1 | 12.0597 |
(20,100) | 94.2 | 0.0419 | 6.7897 | 94.2 | 6.4390 |
(500,10) | 83.7 | 0.0251 | 871.3614 | 92.2 | 591.3957 |
(500,30) | 92.6 | 0.0151 | 346.8934 | 95.8 | 306.2049 |
(500,100) | 94.2 | 0.0083 | 171.3630 | 95.0 | 162.3764 |