Table 3 RE of stratified and proposed calibrated memory-type ratio estimators at various values of ρ, smoothing parameters \(\:\lambda\:=0.10,\:0.15,\:0.25,\) and sample sizes \(\:n\).

From: Innovative memory-type calibration estimators for better survey accuracy in stratified sampling

ρ

n

RE

λ = 0.1

λ = 0.15

λ = 0.25

λ = 0.50

λ = 0.75

λ = 1.00

0.05

10

5.07

6.73

9.16

12.84

15.11

16.69

20

5.06

6.52

9.10

13.06

15.20

16.93

30

5.03

6.51

9.32

13.14

15.32

17.03

50

5.16

6.77

9.14

13.04

15.33

16.95

200

4.80

6.17

9.57

12.58

15.28

17.00

500

5.00

7.50

8.67

12.40

15.86

16.82

0.25

10

4.96

61.00

10.00

15.39

17.40

19.08

20

4.91

6.92

10.10

15.52

17.46

19.22

30

4.90

7.15

10.18

15.36

1.75

19.32

50

5.00

6.80

10.13

15.68

17.81

19.29

200

5.50

6.80

10.17

16.00

18.07

19.23

500

4.50

20.00

12.00

16.25

16.83

18.89

0.50

10

4.99

7.56

11.45

18.62

22.49

23.77

20

5.31

7.46

11.45

18.82

22.43

23.91

30

5.23

7.21

8.06

18.71

22.51

23.83

50

5.13

7.69

11.58

18.70

22.85

24.21

200

5.00

7.75

10.80

1.71

225.00

23.69

500

4.00

6.00

11.00

16.67

22.50

83.33

0.75

10

5.16

8.18

14.16

28.23

35.10

34.51

20

5.26

8.45

14.12

28.33

34.84

35.13

30

5.17

8.32

14.50

28.50

35.37

35.76

50

0.85

8.38

14.46

29.13

36.05

35.03

200

5.67

9.33

15.67

28.00

33.67

36.67

500

7.00

11.00

19.00

22.50

40.00

77.50

0.95

10

5.31

8.98

56.09

58.09

79.82

64.10

20

5.28

8.96

58.53

12.82

84.19

65.80

30

5.10

9.00

60.00

60.36

84.43

66.07

50

5.25

8.82

58.57

56.71

89.50

69.71

200

5.33

8.00

49.50

49.00

88.50

74.00

500

6.00

10.00

40.00

39.00

72.00

59.00