Alpha Normal Distribution and Its Application in China’s Logistics Prosperity Index

Alpha Normal Distribution and Its Application in China’s Logistics Prosperity Index

Xiaheng ZhangRonggang Zhang Lingling Li 

Business School, Northwest University of Political Science and Law, Xi’an 710000, China

Corresponding Author Email: 
zhangxiaheng@163.com
Page: 
278-289
|
DOI: 
https://doi.org/10.18280/ama_a.540211
Received: 
9 May 2017
|
Accepted: 
23 May 2017
|
Published: 
30 June 2017
| Citation

OPEN ACCESS

Abstract: 

Despite the extensive use in data processing, the symmetric distribution fails to yield satisfactory results. Based on the traditional normal distribution, the asymmetric distribution is often adopted to handle the features of asymmetric-tailed data. In view of the above, this paper proposes a new normal distribution, alpha normal distribution, to deal with skewed and heavy-tailed data. The validity of the proposed distribution was verified by fitting the data of China’s logistics prosperity index (LPI).

Keywords: 

Skewed Data, Heavy-tailed data, Alpha normal distribution, Logistics Prosperity Index (LPI).

1. Introduction
2. Alpha Normal Distribution
3. Properties of Alpha Normal Distribution
4. Maximum Likelihood Estimation
5. Data Analysis
6. Conclusion
Acknowledgements

We acknowledge the financial support from the “Young Academic Innovation Team of Northwest University of Political Science and Law”, the Special research program of Shaanxi Provincial Department of Education of the “Operational Mechanism and Implementation Path of E-commerce in the Precision Poverty Reduction Strategy” (17JK0795).

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