Uncertain regression model with moving average time series errors

被引:1
|
作者
Chen, Dan [1 ]
机构
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
Uncertain variable; uncertain regression analysis; uncertain time series analysis; moving average; AUTOREGRESSIVE MODEL;
D O I
10.1080/03610926.2022.2050402
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
As a basic model, an uncertain regression model with autoregressive time series errors has been investigated. This paper proposes another fundamental model-uncertain regression model with moving average time series errors-by assuming that the errors of regression model have a moving average structure. Then the principle of least squares is used to estimate the unknown parameters in the model. Based on the fitted model, the forecast value and confidence interval of the future data are derived. Finally, an example is presented to verify the feasibility of this approach.
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页码:7632 / 7646
页数:15
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