Table 1.
Parameter estimates from simulation of log transformed random variables from negative binomial distribution with size = (0.03 and 0.08) and mean = 100
| size = 0.03 and mean = 100 | size = 0.1 and mean = 100 | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Parameters | Model 1 | Model 2 | Model1 | Model 2 | ||||||||||
| α | β | τ |  |
RMSE | Bias | |
RMSE | Bias | |
RMSE | Bias | |
RMSE | Bias |
| 0.00 | 0.50 | 4.40 | 6.28 | 2.00 | 1.88 | 4.39 | 0.54 | 0.01 | 4.77 | 0.38 | 0.37 | 4.39 | 0.35 | 0.01 |
| 0.00 | 0.50 | 5.10 | 6.88 | 1.93 | 1.78 | 5.07 | 0.58 | 0.03 | 5.91 | 0.82 | 0.81 | 5.08 | 0.40 | 0.02 |
| 0.00 | 0.50 | 6.00 | 7.81 | 1.95 | 1.81 | 6.10 | 0.64 | 0.10 | 6.85 | 0.88 | 0.85 | 5.99 | 0.45 | 0.01 |
| 0.00 | 0.50 | 9.00 | 9.94 | 1.13 | 0.94 | 9.05 | 0.71 | 0.05 | 9.79 | 0.95 | 0.79 | 9.05 | 0.59 | 0.05 |
| 0.00 | 1.00 | 4.40 | 5.77 | 1.46 | 1.37 | 4.44 | 0.35 | 0.04 | 4.79 | 0.40 | 0.39 | 4.41 | 0.23 | 0.01 |
| 0.00 | 1.00 | 5.10 | 6.42 | 1.40 | 1.31 | 5.09 | 0.38 | 0.01 | 5.91 | 0.82 | 0.81 | 5.10 | 0.23 | 0.00 |
| 0.00 | 1.00 | 6.00 | 7.25 | 1.33 | 1.25 | 6.00 | 0.38 | 0.00 | 6.88 | 0.90 | 0.88 | 5.99 | 0.23 | 0.01 |
| 0.00 | 1.00 | 9.00 | 9.84 | 0.96 | 0.84 | 9.00 | 0.43 | 0.00 | 9.68 | 0.75 | 0.68 | 9.04 | 0.30 | 0.04 |
| 0.00 | 2.00 | 4.40 | 5.18 | 0.87 | 0.78 | 4.45 | 0.26 | 0.05 | 4.79 | 0.39 | 0.39 | 4.42 | 0.14 | 0.01 |
| 0.00 | 2.00 | 5.10 | 5.93 | 0.88 | 0.83 | 5.12 | 0.28 | 0.02 | 5.82 | 0.74 | 0.72 | 5.10 | 0.15 | 0.00 |
| 0.00 | 2.00 | 6.00 | 6.79 | 0.84 | 0.78 | 6.03 | 0.28 | 0.03 | 6.72 | 0.75 | 0.72 | 5.99 | 0.16 | 0.01 |
| 0.00 | 2.00 | 9.00 | 9.64 | 0.70 | 0.64 | 9.02 | 0.33 | 0.02 | 9.52 | 0.56 | 0.52 | 9.00 | 0.20 | 0.00 |
| -1.00 | 0.50 | 4.40 | 6.66 | 2.36 | 2.26 | 4.41 | 0.47 | 0.01 | 4.79 | 0.40 | 0.39 | 4.38 | 0.35 | 0.02 |
| -1.00 | 0.50 | 5.10 | 7.29 | 2.29 | 2.19 | 5.08 | 0.49 | 0.02 | 5.94 | 0.85 | 0.84 | 5.09 | 0.36 | 0.01 |
| -1.00 | 0.50 | 6.00 | 7.90 | 2.01 | 1.90 | 5.98 | 0.56 | 0.02 | 6.90 | 0.91 | 0.90 | 6.01 | 0.40 | 0.01 |
| -1.00 | 0.50 | 9.00 | 10.00 | 1.19 | 1.00 | 9.06 | 0.74 | 0.06 | 9.81 | 1.01 | 0.81 | 9.01 | 0.60 | 0.01 |
| -1.00 | 1.00 | 4.40 | 5.98 | 1.63 | 1.58 | 4.41 | 0.30 | 0.01 | 4.80 | 0.40 | 0.40 | 4.42 | 0.19 | 0.01 |
| -1.00 | 1.00 | 5.10 | 6.66 | 1.62 | 1.56 | 5.11 | 0.32 | 0.01 | 5.96 | 0.86 | 0.86 | 5.10 | 0.20 | 0.00 |
| -1.00 | 1.00 | 6.00 | 7.50 | 1.56 | 1.50 | 5.99 | 0.35 | 0.01 | 6.94 | 0.94 | 0.94 | 6.00 | 0.21 | 0.00 |
| -1.00 | 1.00 | 9.00 | 10.00 | 1.08 | 1.00 | 9.01 | 0.44 | 0.01 | 9.77 | 0.84 | 0.77 | 8.96 | 0.35 | 0.04 |
| -1.00 | 2.00 | 4.40 | 5.37 | 1.01 | 0.97 | 4.42 | 0.22 | 0.01 | 4.80 | 0.40 | 0.40 | 4.41 | 0.14 | 0.01 |
| -1.00 | 2.00 | 5.10 | 6.07 | 1.01 | 0.97 | 5.11 | 0.24 | 0.01 | 5.92 | 0.83 | 0.82 | 5.11 | 0.14 | 0.01 |
| -1.00 | 2.00 | 6.00 | 6.92 | 0.96 | 0.92 | 6.01 | 0.23 | 0.01 | 6.86 | 0.87 | 0.86 | 6.00 | 0.14 | 0.00 |
| -1.00 | 2.00 | 9.00 | 9.72 | 0.77 | 0.72 | 8.98 | 0.25 | 0.02 | 9.60 | 0.63 | 0.59 | 9.01 | 0.15 | 0.01 |