Table 2 Simulations results for values of k = 0.1 and h = 0.8.
Methods of Estimation | Parameters | n = 20 | n = 40 | n = 75 | n = 100 | n = 200 | |||||
---|---|---|---|---|---|---|---|---|---|---|---|
RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | RMSE | Bias | ||
LM | \(\:\epsilon\:\) | 3.9238 | −3.2683 | 1.0071 | −0.3839 | 0.4517 | −0.1181 | 0.3326 | −0.0621 | 0.1854 | −0.0052 |
\(\:\theta\:\) | 6.4600 | 5.4247 | 1.3791 | 0.4401 | 0.568 | 0.1478 | 0.39 | 0.0859 | 0.228 | 0.015 | |
K | 0.8930 | 0.7948 | 0.2638 | 0.0516 | 0.1980 | 0.0321 | 0.1470 | 0.0208 | 0.1026 | −0.0045 | |
H | 1.1167 | 0.0517 | 0.6349 | 0.1619 | 0.4280 | 0.0313 | 0.3386 | 0.0140 | 0.2098 | −0.0173 | |
MLE | \(\:\epsilon\:\) | 1.3031 | −1.164 | 1.3735 | −0.8295 | 0.4849 | −0.2332 | 0.3439 | −0.1300 | 0.1366 | −0.038 |
\(\:\theta\:\) | 2.9525 | 2.2641 | 2.0332 | 1.2175 | 0.6982 | 0.352 | 0.4829 | 0.2074 | 0.2045 | 0.0546 | |
K | 0.8686 | 0.6922 | 0.3691 | 0.2881 | 0.2365 | 0.1261 | 0.1761 | 0.0880 | 0.0922 | 0.0223 | |
H | 0.7240 | 0.5238 | 0.6651 | 0.4038 | 0.3518 | 0.1616 | 0.2558 | 0.1001 | 0.1248 | 0.0357 | |
MPS | \(\:\epsilon\:\) | 0.7771 | −0.4771 | 0.3517 | 0.1842 | 0.2555 | 0.0267 | 0.2043 | 0.0095 | 0.1141 | 0.0265 |
\(\:\theta\:\) | 0.5314 | 0.5313 | 0.3067 | −0.2911 | 0.31 | −0.0364 | 0.2673 | 0.0032 | 0.1682 | −0.0352 | |
K | 0.1542 | 0.1542 | 0.1912 | −0.1556 | 0.1793 | −0.0566 | 0.1414 | −0.0310 | 0.0959 | −0.0432 | |
H | 0.7039 | 0.2540 | 0.4856 | −0.3028 | 0.3476 | −0.0987 | 0.2255 | −0.0417 | 0.1317 | −0.0433 |