Mean coverage values for 40 simulations fitting the contour distribution for with different values of
| . | . | . | . | . | |||
|---|---|---|---|---|---|---|---|
| . | Nominal . | Coverage . | Mean . | Coverage . | Mean . | Coverage . | Mean . |
| 1 | 0.8 | 0.86 (0.05) | 38.48 (0.8) | 0.87 (0.06) | 45.65 (1.8) | 0.86 (0.05) | 55.20 (9.2) |
| 0.9 | 0.94 (0.04) | ” | 0.94 (0.04) | ” | 0.94 (0.03) | ” | |
| 0.95 | 0.98 (0.02) | ” | 0.98 (0.02) | ” | 0.98 (0.02) | ” | |
| 2 | 0.8 | 0.82 (0.05) | 32.65 (0.9) | 0.80 (0.06) | 41.27 (1.2) | 0.84 (0.06) | 50.50 (1.9) |
| 0.9 | 0.92 (0.04) | ” | 0.90 (0.05) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.96 (0.03) | ” | 0.95 (0.04) | ” | 0.95 (0.03) | ” | |
| 4 | 0.8 | 0.86 (0.06) | 28.38 (0.67) | 0.79 (0.05) | 36.67 (0.9) | 0.80 (0.07) | 48.45 (1.0) |
| 0.90 | 0.93 (0.04) | ” | 0.89 (0.04) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.97 (0.03) | ” | 0.94 (0.03) | ” | 0.97 (0.02) | ” | |
| . | . | . | . | . | |||
|---|---|---|---|---|---|---|---|
| . | Nominal . | Coverage . | Mean . | Coverage . | Mean . | Coverage . | Mean . |
| 1 | 0.8 | 0.86 (0.05) | 38.48 (0.8) | 0.87 (0.06) | 45.65 (1.8) | 0.86 (0.05) | 55.20 (9.2) |
| 0.9 | 0.94 (0.04) | ” | 0.94 (0.04) | ” | 0.94 (0.03) | ” | |
| 0.95 | 0.98 (0.02) | ” | 0.98 (0.02) | ” | 0.98 (0.02) | ” | |
| 2 | 0.8 | 0.82 (0.05) | 32.65 (0.9) | 0.80 (0.06) | 41.27 (1.2) | 0.84 (0.06) | 50.50 (1.9) |
| 0.9 | 0.92 (0.04) | ” | 0.90 (0.05) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.96 (0.03) | ” | 0.95 (0.04) | ” | 0.95 (0.03) | ” | |
| 4 | 0.8 | 0.86 (0.06) | 28.38 (0.67) | 0.79 (0.05) | 36.67 (0.9) | 0.80 (0.07) | 48.45 (1.0) |
| 0.90 | 0.93 (0.04) | ” | 0.89 (0.04) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.97 (0.03) | ” | 0.94 (0.03) | ” | 0.97 (0.02) | ” | |
Notes: In each simulation, 20 observed contours were sampled as training data and evenly-spaced test lines with were evaluated. SDs across the test lines are given in parentheses. The mean is given for each along with the SD across the evaluation runs in parentheses. Apostrophes indicate that the entry is the same as the line above it. Priors and Markov chain Monte Carlo details are given in Section 5.1.
Mean coverage values for 40 simulations fitting the contour distribution for with different values of
| . | . | . | . | . | |||
|---|---|---|---|---|---|---|---|
| . | Nominal . | Coverage . | Mean . | Coverage . | Mean . | Coverage . | Mean . |
| 1 | 0.8 | 0.86 (0.05) | 38.48 (0.8) | 0.87 (0.06) | 45.65 (1.8) | 0.86 (0.05) | 55.20 (9.2) |
| 0.9 | 0.94 (0.04) | ” | 0.94 (0.04) | ” | 0.94 (0.03) | ” | |
| 0.95 | 0.98 (0.02) | ” | 0.98 (0.02) | ” | 0.98 (0.02) | ” | |
| 2 | 0.8 | 0.82 (0.05) | 32.65 (0.9) | 0.80 (0.06) | 41.27 (1.2) | 0.84 (0.06) | 50.50 (1.9) |
| 0.9 | 0.92 (0.04) | ” | 0.90 (0.05) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.96 (0.03) | ” | 0.95 (0.04) | ” | 0.95 (0.03) | ” | |
| 4 | 0.8 | 0.86 (0.06) | 28.38 (0.67) | 0.79 (0.05) | 36.67 (0.9) | 0.80 (0.07) | 48.45 (1.0) |
| 0.90 | 0.93 (0.04) | ” | 0.89 (0.04) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.97 (0.03) | ” | 0.94 (0.03) | ” | 0.97 (0.02) | ” | |
| . | . | . | . | . | |||
|---|---|---|---|---|---|---|---|
| . | Nominal . | Coverage . | Mean . | Coverage . | Mean . | Coverage . | Mean . |
| 1 | 0.8 | 0.86 (0.05) | 38.48 (0.8) | 0.87 (0.06) | 45.65 (1.8) | 0.86 (0.05) | 55.20 (9.2) |
| 0.9 | 0.94 (0.04) | ” | 0.94 (0.04) | ” | 0.94 (0.03) | ” | |
| 0.95 | 0.98 (0.02) | ” | 0.98 (0.02) | ” | 0.98 (0.02) | ” | |
| 2 | 0.8 | 0.82 (0.05) | 32.65 (0.9) | 0.80 (0.06) | 41.27 (1.2) | 0.84 (0.06) | 50.50 (1.9) |
| 0.9 | 0.92 (0.04) | ” | 0.90 (0.05) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.96 (0.03) | ” | 0.95 (0.04) | ” | 0.95 (0.03) | ” | |
| 4 | 0.8 | 0.86 (0.06) | 28.38 (0.67) | 0.79 (0.05) | 36.67 (0.9) | 0.80 (0.07) | 48.45 (1.0) |
| 0.90 | 0.93 (0.04) | ” | 0.89 (0.04) | ” | 0.91 (0.04) | ” | |
| 0.95 | 0.97 (0.03) | ” | 0.94 (0.03) | ” | 0.97 (0.02) | ” | |
Notes: In each simulation, 20 observed contours were sampled as training data and evenly-spaced test lines with were evaluated. SDs across the test lines are given in parentheses. The mean is given for each along with the SD across the evaluation runs in parentheses. Apostrophes indicate that the entry is the same as the line above it. Priors and Markov chain Monte Carlo details are given in Section 5.1.
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