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Desired Sample Size for Estimating the Skewness Under Skew Normal Settings

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Structural Changes and their Econometric Modeling (TES 2019)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 808))

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Abstract

In this paper, the desired sample size for estimating the skewness parameter with given closeness and confidence level under skew normal populations. The confidence intervals for skewness parameter are constructed based on the desired sample sizes using two pivots, chi-square distribution and F-distribution. Computer simulations support our main results. At the end, a real data example is provided for illustration of constructed confidence intervals.

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Correspondence to Tonghui Wang .

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Appendix 1

Appendix 1

The data set of the LAI obtained from June to October, 2010

Jun.

Jul.

Sep.

Oct.

4.87

3.32

2.05

1.50

5.00

3.02

2.12

1.46

4.72

3.28

2.24

1.55

5.16

3.63

2.56

1.27

5.11

3.68

2.67

1.26

5.03

3.79

2.61

1.37

5.36

3.68

2.42

1.87

5.17

4.06

2.58

1.75

5.56

4.13

2.56

1.81

4.48

2.92

1.84

1.98

4.55

3.05

1.94

1.89

4.69

3.02

1.95

1.71

2.54

2.78

2.29

1.29

3.09

2.35

1.94

1.34

2.79

2.40

2.20

1.29

3.80

3.28

1.56

1.10

3.61

3.45

1.40

1.04

3.53

2.85

1.36

1.08

2.51

3.05

1.60

0.86

2.41

2.78

1.50

0.70

2.80

2.72

1.88

0.82

3.23

2.64

1.63

1.19

3.46

2.88

1.66

1.24

3.12

3.00

1.62

1.14

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Wang, C., Wang, T., Trafimow, D., Myüz, H.A. (2019). Desired Sample Size for Estimating the Skewness Under Skew Normal Settings. In: Kreinovich, V., Sriboonchitta, S. (eds) Structural Changes and their Econometric Modeling. TES 2019. Studies in Computational Intelligence, vol 808. Springer, Cham. https://doi.org/10.1007/978-3-030-04263-9_11

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