Journal of Statistical Distributions and Applications

Table 1 Average bias and RMSE (in parentheses) of estimates for α and β

From: Simple robust parameter estimation for the Birnbaum-Saunders distribution

		Estimator of α			Estimator of β
n	α	\(\hat \alpha ^{\text {MLE}}\)	\(\hat \alpha ^{\text {IQR}}_{1}\)	\(\hat \alpha ^{\text {RC}}_{1}\)	\(\hat \beta ^{\text {MLE}}\)	\(\hat \beta ^{\mathrm {M}}\)
10	0.5	−0.039	−0.065	−0.000	−0.012	−0.022
		(0.117)	(0.172)	(0.150)	(0.156)	(0.192)
	1.0	−0.087	−0.136	−0.017	−0.040	−0.080
		(0.235)	(0.343)	(0.298)	(0.299)	(0.412)
	2.0	−0.186	−0.273	−0.088	−0.105	−0.331
		(0.481)	(0.726)	(0.597)	(0.534)	(1.065)
50	0.5	−0.007	−0.015	−0.000	−0.002	−0.003
		(0.051)	(0.081)	(0.059)	(0.068)	(0.086)
	1.0	−0.017	−0.029	−0.003	−0.008	−0.017
		(0.101)	(0.163)	(0.116)	(0.128)	(0.179)
	2.0	−0.035	−0.060	−0.021	−0.018	−0.060
		(0.206)	(0.334)	(0.238)	(0.195)	(0.379)
100	0.5	−0.004	−0.007	−0.001	−0.001	−0.002
		(0.036)	(0.058)	(0.041)	(0.048)	(0.063)
	1.0	−0.008	−0.014	−0.001	−0.004	−0.007
		(0.070)	(0.116)	(0.080)	(0.088)	(0.124)
	2.0	−0.019	−0.028	−0.011	−0.010	−0.033
		(0.144)	(0.234)	(0.163)	(0.135)	(0.260)

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