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Table 2 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

\(\hat \alpha ^{\text {MLE}}\)

\(\hat \alpha ^{\text {IQR}}_{2}\)

\(\hat \alpha ^{\text {RC}}_{2}\)

\(\hat \beta ^{\text {MLE}}\)

\(\hat \beta ^{\text {HL}}\)

10

0.5

−0.039

−0.066

−0.000

−0.012

−0.014

  

(0.117)

(0.171)

(0.149)

(0.156)

(0.164)

 

1.0

−0.087

−0.141

−0.017

−0.040

−0.048

  

(0.235)

(0.340)

(0.297)

(0.299)

(0.332)

 

2.0

−0.186

−0.314

−0.078

−0.105

−0.165

  

(0.481)

(0.700)

(0.595)

(0.534)

(0.714)

50

0.5

−0.007

−0.015

−0.000

−0.002

−0.002

  

(0.051)

(0.081)

(0.059)

(0.068)

(0.071)

 

1.0

−0.017

−0.031

−0.003

−0.008

−0.010

  

(0.101)

(0.162)

(0.116)

(0.128)

(0.139)

 

2.0

−0.035

−0.071

−0.018

−0.018

−0.029

  

(0.206)

(0.330)

(0.238)

(0.195)

(0.256)

100

0.5

−0.004

−0.004

−0.000

−0.001

−0.001

  

(0.036)

(0.058)

(0.041)

(0.048)

(0.051)

 

1.0

−0.008

−0.015

−0.001

−0.004

−0.004

  

(0.070)

(0.115)

(0.080)

(0.088)

(0.096)

 

2.0

−0.019

−0.034

−0.009

−0.010

−0.016

  

(0.144)

(0.233)

(0.163)

(0.135)

(0.176)