L

Original

method

(MRMSEs)

MI based modified method (MRMSEs,) with different

0.1*

0.2*

0.3*

0.4*

0.5*

0.6*

0.7*

L = 10

12.37

(12.41, 10)

(12.27, 9.8)

(12.57, 9.1)

(13.97, 6.6)

(14.76, 4.9)

(16.42, 3.1)

--

0.2703

L = 20

10.36

(10.25, 20)

(10.31, 19.2)

(10.73, 15.4)

(11.73, 9.85)

(13.60, 6.03)

(15.04, 3.75)

--

0.3319

L = 30

9.713

(9.675, 29.9)

(9.702, 28.1)

(10.16, 21.3)

(10.95, 13.3)

(12.33, 8.07)

(14.77, 4.69)

--

0.3572

L = 40

9.518

(9.444, 39.9)

(9.621, 37.2)

(9.787, 27.2)

(10.61, 16.2)

(11.78, 9.11)

(13.89, 5.09)

--

0.3707

L = 50

9.755

(9.799, 49.9)

(9.638, 46.2)

(9.591, 33.2)

(10.21, 19.3)

(11.21, 11.6)

(13.19, 6.37)

--

0.3755

L = 60

10.17

(10.12, 59.8)

(9.772, 53.9)

(9.486, 36.2)

(10.16, 19.7)

(11.26, 10.8)

(13.02, 6.36)

--

0.4042

L = 70

10.38

(10.71, 69.8)

(10.14, 62.9)

(9.453, 41.8)

(9.973, 23.1)

(11.02, 12.83)

(12.14, 7.19)

--

0.4050

L = 80

11.18

(11.33, 79.8)

(10.62, 70.5)

(9.625, 44.8)

(9.738, 24.1)

(10.79, 13.0)

(12.68, 7.15)

--

0.4185

L = 90

12.48

(12.22, 89.7)

(11.24, 80.2)

(9.634, 53.3)

(9.736, 27.93)

(10.56, 15.28)

(11.50, 8.96)

(13.72, 4.82)

0.4113

L = 100

13.30

(13.06, 100)

(12.88, 99.0)

(12.20, 89.6)

(10.47, 70.5)

(9.885, 48.5)

(9.614, 32.5)

(10.00, 22.6)

0.4186

L = 200

535.1

(488.6, 199)

(47.26, 1.65)

(12.38, 94.0)

(9.678, 46.92)

(10.01, 23.87)

(10.95, 12.51)

(12.46, 5.99)

0.4612

L = 300

167.5

(166.4, 2.98)

(253.1, 240)

(20.24, 128)

(10.69, 15.53)

(9.646, 31.5)

(10.51, 15.4)

(12.05, 7.33)

0.4798

L = 400

132.2

(135.3, 397)

(156.7, 314)

(58.05, 167)

(11.66, 81.5)

(9.874, 41.2)

(10.24, 19.9)

(11.26, 9.53)

0.4854

L = 500

121.4

(118.1, 496)

(379.7, 382)

(512.9, 197)

(12.56, 93.6)

(9.957, 45.1)

(10.16, 21.6)

(10.95, 11.0)

0.5070