$N=10000$

$n=25$

$n=50$

$n=130$

$n=350$

$n=500$

$\widehat{a}$

1.9532 (0.0092)

1.9679 (0.0067)

1.9706 (0.0059)

1.9756 (0.0042)

1.9896 (0.0033)

$\widehat{b}$

0.9686 (0.0079)

0.9713 (0.0052)

0.9876 (0.0038)

0.9903 (0.0025)

0.9982 (0.0012)

$\widehat{c}$

0.9236 (0.0084)

0.9186 (0.0061)

0.9106 (0.0047)

0.9086 (0.0037)

0.9023 (0.0029)

$\widehat{\alpha }$

0.1775 (0.0088)

0.1823 (0.0073)

0.1897 (0.0041)

0.1902 (0.0027)

0.1976 (0.0016)

$\widehat{\beta }$

0.7361 (0.0098)

0.7253 (0.0079)

0.7126 (0.0053)

0.7098 (0.0034)

0.7012 (0.0018)

$\widehat{\theta }$

1.5364 (0.0068)

1.5231 (0.0057)

1.5134 (0.0033)

1.5037 (0.0018)

1.5003 (0.0009)