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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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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, USA

    Cong Wang & Tonghui Wang

  2. Department of Psychology, New Mexico State University, Las Cruces, USA

    David Trafimow & Hunter A. Myüz

Authors
  1. Cong Wang
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  2. Tonghui Wang
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  3. David Trafimow
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  4. Hunter A. Myüz
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Corresponding author

Correspondence to Tonghui Wang .

Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Texas at El Paso, El Paso, TX, USA

    Vladik Kreinovich

  2. Faculty of Economics, Chiang Mai University, Chiang Mai, Thailand

    Songsak Sriboonchitta

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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