Grey incidence model of B-mode based on panel data and its application

LUO Dang1 ZHANG Man-man1

(1.School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, Henan Province, China 450046)

【Abstract】With the basic idea of the grey incidence analysis of B-mode, aimed at the defects of the inconsistent incidence order due to the change of object sequence, or the distortion caused by not fully considering the change rate of means of different objects at the same time, the gray incidence model of B-mode based on panel data is constructed from two dimensions of time and object. In the time dimension, the horizontal incidence degree is obtained by introducing the overall displacement difference, the first-order slope difference, and the second-order slope difference between each index. In the object dimension, the longitudinal incidence degree is described by the ratio of each point and the mean of different objects at the same time. Then, the grey incidence model of B-mode based on panel data is constructed by calculating the weighted average of the two incidence degrees. The properties of Normality and multiple transformation isotonicity of the model are discussed. The example shows that the model is simple and effective, and is not affected by the order of objects. Finally, the drought risk index of five cities in North Henan Plain is used as the characteristic index sequence to clarify the relationship between the drought risk index and its 12 influencing factors, which provides a theoretical basis for the assessment and regulation drought risks.

【Keywords】 panel data; incidence analysis of B-mode; time dimension; object dimension; drought risk index;

【DOI】

【Funds】 National Natural Science Foundation of China (71271086, 51979106) Scientific and Technological Plan Project of Henan Province (182102310014) Key Research Project for Universities of Henan Province (18A630030); Quality Curriculum Construction Project of Postgraduate Education in Henan Province (HNYJS2015KC02)

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This Article

ISSN:1001-0920

CN: 21-1124/TP

Vol 35, No. 06, Pages 1476-1482

June 2020

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Article Outline

Abstract

  • 0 Introduction
  • 1 Preparatory knowledge
  • 2 Grey incidence analysis of B-mode based on panel data
  • 3 Comparative analysis
  • 4 Case study
  • 5 Conclusions
  • References