Table 1 Bias’s, MSE’s, AIC’s and ACL’s for MLE’s for \(BS\left(\alpha ,\beta \right).\)

n	\(BS(\alpha ,\beta )\)
	\(\alpha \)		\(\beta \)		AIC	\(\alpha \)	\(\beta \)
	Bias	MSE	Bias	MSE	AIC	ACL
\(\left(\alpha ,\beta \right)=\left(\mathrm{1.25.5,3}\right)\)
50	0.0193	0.0188	0.03350	0.0563	9963.393	0.1654	0.5138
100	0.0088	0.0077	0.0165	0.0273	32,422.27	0.1563	0.3786
200	0.0045	0.0041	0.0084	0.0141	132,107.5	0.0998	0.2654
500	0.0018	0.0016	0.0034	0.0060	826,131.3	0.0593	0.1550
\(\left(\alpha ,\beta \right)=\left(\mathrm{0.5,3}\right)\)
50	0.0039	0.0007	0.0508	0.1292	8980.385	0.0744	0.1795
100	0.0018	0.0003	0.0239	0.0572	34,746.18	0.0716	0.0167
200	0.0007	0.0001	0.0125	0.0314	128,830.6	0.0453	0.0960
500	0.0003	5.16*\({10}^{-5}\)	0.0050	0.0125	810,005.7	0.0283	0.0618
\(\left(\alpha ,\beta \right)=\left(\mathrm{1,3}\right)\)
50	0.0138	0.0095	0.0428	0.0916	8744.334	0.1340	0.3390
100	0.0069	0.0048	0.0204	0.0419	36,114.63	0.1169	0.2579
200	0.0034	00,023	0.0102	0.0208	139,516.5	0.0743	0.1876
500	0.0013	0.0008	0.0040	0.0080	812,134.2	0.0516	0.1246

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