Generalized Zero-inflated Binomial Distribution Model Aimed at Air Quality Data Analysis

Authors

Benyue Su, 1.School of Mathematics and Computer,Tongling University,Tongling 244061,China; ;3.The University Key Laboratory of Intelligent Perception and Computing of Anhui Province,Anqing 246133,China; ;
Pengpeng Xu, 2.School of Computer and Information,Anqing Normal University,Anqing 246133,China; ;3.The University Key Laboratory of Intelligent Perception and Computing of Anhui Province,Anqing 246133,China; ;
Sheng Min, 3.The University Key Laboratory of Intelligent Perception and Computing of Anhui Province,Anqing 246133,China; ;4.School of Mathematics and Computational Science,Anqing Normal University,Anqing 246133,China;

Abstract

Abstract: For the problem of the quality monitoring and counting of excessive gas emissions in chemical industry parks, a generalized zero-inflated binomial distribution model is constructed. Statistics show that the times of number of excessive gas emissions has a typical zero-inflated feature. The traditional zero-inflated Poisson model and negative binomial regression model and so on will underestimate the probability of zero inflation. A generalized zero-inflated binomial distribution model is constructed by extending the traditional binomial regression model to a more general form. This model satisfies the characteristic that the expectation is less than the variance, and better solves the problems of both over-dispersed and zero-inflated in excessive gas emissions. Experiments show that the generalized zero-flated binomial distribution model has a good fitting effect, strong adaptability and robustness.

Recommended Citation

Su, Benyue; Xu, Pengpeng; and Min, Sheng (2020) "Generalized Zero-inflated Binomial Distribution Model Aimed at Air Quality Data Analysis," Journal of System Simulation: Vol. 32: Iss. 11, Article 19.
DOI: 10.16182/j.issn1004731x.joss.19-FZ0510E
Available at: https://dc-china-simulation.researchcommons.org/journal/vol32/iss11/19

First Page

2226

Revised Date

2019-09-08

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.19-FZ0510E

Last Page

2234

CLC

TP391;O212;C81

Recommended Citation

Su Benyue, Xu Pengpeng, Sheng Min. Generalized Zero-inflated Binomial Distribution Model Aimed at Air Quality Data Analysis[J]. Journal of System Simulation, 2020, 32(11): 2226-2234.

DOI

10.16182/j.issn1004731x.joss.19-FZ0510E