Distribution	T	${\hat{α}}_{0}$	${\hat{α}}_{1}$	${\hat{β}}_{1}$	${\hat{α}}_{1} + {\hat{β}}_{1}$	Log likelihood	AIC	BIC
Normal	10	0.000000 (NaN)	0.000000 (NaN)	0.975480 (NaN)	0.975480	34.896250	−	−
	50	0.000012 (0.000009)	0.000000 (NaN)	0.792570 (NaN)	0.792570	173.106700	−6.764269	−6.611308
	100	0.000055 (NaN)	0.311820 (NaN)	0.000000 (NaN)	0.311820	332.901800	−6.578035	−6.473828
	200	0.000000 (0.000002)	0.072561 (0.031070)+	0.922570 (0.030020)+	0.995131	575.846100	−5.718461	−5.652495
	500	0.000002 (0.000002)	0.078830 (0.020130)+	0.916650 (0.021940)+	0.995480	1355.578000	−5.406311	−5.372594
	1000	0.000002 (0.000002)	0.047540 (0.009490)+	0.944580 (0.011870)+	0.992120	2694.591000	−5.381183	−5.361552
	2000	0.000005 (0.000002)+	0.036626 (0.006807)+	0.943870 (0.011030)+	0.980496	5405.382000	−5.401382	−5.390180
	2500	0.000005 (0.000002)+	0.038435 (0.006306)+	0.944270 (0.009722)+	0.982705	6670.077000	−5.332862	−5.323543
Student-t	10	0.000000 (NaN)	0.000000 (NaN)	0.951180 (NaN)	0.951180	35.595920	−	−
	50	0.000001 (0.000014)	0.000000 (NaN)	0.985060 (0.190600)+	0.985060	173.693300	−6.747731	−6.556529
	100	0.000057 (NaN)	0.359930 (NaN)	0.000000 (NaN)	0.359930	332.261100	−6.545221	−6.414963
	200	0.000002 (0.000003)	0.065403 (0.036690)−	0.923770 (0.038270)+	0.989173	579.266500	−5.742665	−5.660207
	500	0.000005 (0.000004)	0.094813 (0.030220)+	0.890370 (0.035440)+	0.985183	1360.767000	−5.423069	−5.380922
	1000	0.000004 (0.000003)	0.054045 (0.014250)+	0.933710 (0.018680)+	0.987755	2705.129000	−5.400259	−5.375720
	2000	0.000007 (0.000003)+	0.036095 (0.009536)+	0.936790 (0.017480)+	0.972885	5439.307000	−5.434307	−5.420304
	2500	0.000006 (0.000002)+	0.039118 (0.008281)+	0.941830 (0.013020)+	0.980948	6707.091000	−5.361673	−5.350025
GED	10	0.000000 (0.000022)	0.000000 (NaN)	0.925420 (NaN)	0.925420	36.313640	−	−
	50	0.000009 (0.000013)	0.000000 (NaN)	0.852920 (0.113000)+	0.852920	173.341300	−6.733653	−6.542451
	100	0.000056 (NaN)	0.307170 (NaN)	0.000000 (NaN)	0.307170	332.954200	−6.559084	−6.428825
	200	0.000007 (0.000002)	0.066140 (0.035110)−	0.924730 (0.036130)+	0.990870	579.213700	−5.742137	−5.659679
	500	0.000003 (0.000004)	0.084446 (0.026740)+	0.905200 (0.031220)+	0.989646	1360.993000	−5.423974	−5.381828
	1000	0.000003 (0.000003)	0.049946 (0.012610)+	0.939070 (0.016470)+	0.989016	2709.146000	−5.408292	−5.383753
	2000	0.000007 (0.000003)+	0.035653 (0.008846)+	0.939580 (0.015860)+	0.975233	5443.485000	−5.438485	−5.424483
	2500	0.000006 (0.000002)+	0.038252 (0.007915)+	0.942800 (0.012590)+	0.981052	6711.864000	−5.365491	−5.353843