True value

( α , β )

Average value

Absolute value

t

α ^ L R

β ^ L R

α ^

β ^

500

0.2989

0.5992

0.0037

0.0013

(0.3, 0.6)

1000

0.2992

0.5997

0.0027

0.0005

1500

0.2998

0.5999

0.0006

0.0001

500

0.3991

0.6989

0.0023

0.0016

(0.4, 0.7)

1000

0.3995

0.6992

0.0013

0.0011

1500

0.3999

0.6998

0.0003

0.0003

500

0.4991

0.7992

0.0018

0.0011

(0.5, 0.8)

1000

0.4994

0.7995

0.0012

0.0006

1500

0.4998

0.7998

0.0004

0.0003

500

0.5991

0.8991

0.0015

0.0012

(0.6, 0.9)

1000

0.5995

0.8994

0.0008

0.0006

1500

0.5999

0.8998

0.0001

0.0002