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一致分数阶多变量离散灰色模型及其在信贷规模中的应用

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基于一致分数阶累加和累减生成算子,利用灰色建模技术,构建一致分数阶多变量离散灰色模型并讨论在我国信贷规模中的具体应用。首先分析了该模型的建模过程、参数估计以及时间响应序列,并利用鲸鱼智能优化算法搜索模型的最优非线性参数。然后以2007-2019年我国信贷规模及其影响因素的数据进行实证分析,从计算结果看出新模型比其他四种多变量灰色模型具有更高的精度和稳健性。结果也说明信贷规模与经济发展和货币政策呈正相关,与资本配置效率呈负相关。
A Conformable Fractional Multivariable Discrete Grey Model and Its Application in China's Credit Scale
Based on the conformable fractional accumulation and difference operators,this paper uses grey modeling technique to construct a conformable fractional multivariate discrete grey model in order to analyze the factors affecting the dynamic changes of credit scale.Firstly,the modeling process,parameter estimation and time response sequence of the proposed model are discussed,and the optimal nonlinear parameter of the model is optimized by the whale intelligent optimization algorithm.Then the data of credit scale and its influencing factors from 2007 to 2019 was made an empirical analysis with the aid of the proposed model and four existing grey models.The calculation results showed that the newly proposed model has higher accuracy and robustness than the other four multivariate grey models.The relevant results also indicate that the scale of credit is positively correlated with economic development and monetary policy,and negatively correlated with capital allocation efficiency.

credit scalegrey accumulation operatorconformable fractional ordermulti-variable discrete grey model

吴文青、田雪、夏杰

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中国民用航空飞行学院理学院,四川 德阳 618307

西南科技大学数理学院,四川 绵阳 621010

电子科技大学生命科学与技术学院,四川 成都 611731

信贷规模 灰色累加算子 一致分数阶 多变量离散灰色模型

2024

数学的实践与认识
中国科学院数学与系统科学研究院

数学的实践与认识

CSTPCD北大核心
影响因子:0.349
ISSN:1000-0984
年,卷(期):2024.54(2)
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