Table 5 Bias’s and MSE’s for Bayesian estimation for \(BS(\alpha ,\beta )\).

n	\(BS(\alpha ,\beta )\)
	Prior 1				Prior 2				Prior3
	\(\alpha \)		\(\beta \)		\(\alpha \)		\(\beta \)		\(\alpha \)		\(\beta \)
	Bias	MSE	Bias	MSE	Bias	MSE	Bias	MSE	Bias	MSE	Bias	MSE
\(\left(\alpha ,\beta \right)=\left(\mathrm{1.25,3}\right)\)
50	0.0119	0.0075	0.0175	0.0306	0.0144	0.0131	0.0172	0.0316	0.0076	0.0062	0.0135	0.0106
100	0.0096	0.0446	0.0087	0.0153	0.0080	0.0314	0.0085	0.0163	0.0036	0.0013	0.0088	0.0123
200	0.0032	0.0030	0.0043	0.0076	0.0042	0.0209	0.0041	0.0066	0.0015	0.0010	0.0013	0.0036
500	0.0058	0.0366	0.0017	0.0030	0.0014	0.0011	0.0015	0.0027	0.0021	0.0022	0.0014	0.0003
\(\left(\alpha ,\beta \right)=\left(\mathrm{0.5,3}\right)\)
50	0.0084	0.0062	0.0175	0.0306	− 0.0008	0.0018	0.0250	0.0625	− 0.0040	0.0064	0.0030	0.0070
100	0.0086	0.0221	0.0087	0.0153	0.0035	0.0013	0.0125	0.0312	− 0.0050	0.0100	0.0050	0.0212
200	0.0041	0.0080	0.0043	0.0076	0.0011	0.0005	0.0062	0.0156	7.8 \(*{10}^{-7}\)	0.0002	0.0033	0.0125
500	0.0025	0.0081	0.0017	0.0030	− 0.0011	0.0008	0.0025	0.0006	− 0.0013	0.0037	0.0012	0.0003
\(\left(\alpha ,\beta \right)=\left(\mathrm{1,3}\right)\)
50	0.0135	0.0109	0.0200	0.0400	0.0046	0.0094	0.0019	0.0038	0.0027	0.0073	0.0150	0.0425
100	0.0030	0.0007	0.0100	0.0200	0.0028	0.0010	0.0009	0.0019	0.0051	0.0049	0.0075	0.0212
200	0.0024	0.0012	0.0050	0.0100	0.0041	0.0034	0.0048	0.0018	− 0.0007	0.0002	0.0038	0.0106
500	0.0016	0.0014	0.0020	0.0040	0.0009	0.0006	0.0018	0.0038	− 0.0041	0.0187	0.0015	0.0043

Quick links

Search