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高次差法求解时间序列中趋势项的方法研究及其应用
引用本文:石双忠,岳东杰,李蕾蕾. 高次差法求解时间序列中趋势项的方法研究及其应用[J]. 现代测绘, 2004, 27(1): 14-16
作者姓名:石双忠  岳东杰  李蕾蕾
作者单位:河海大学,土木工程学院,江苏,南京,210098
摘    要:介绍了高次差法求解时间序列中趋势项的基本原理与方法。通过实例对某沉降监测点的观测序列进行分析处理、预报,并与最小二乘法进行了比较,结果表明该法在建模的精度、抵抗粗差等方面均优于最小二乘法。可应用于时间序列中趋势项的求解与多项式回归分析。

关 键 词:高次差法 时间序列 趋势项 沉降监测 最小二乘 多项式回归
文章编号:1672-4097(2004)01-0014-03

Resolving Time-Series Tendency Part with Higher Difference Method and Its Application
Shi Shuangzhong,Yue Dongjie,Li Leilei. Resolving Time-Series Tendency Part with Higher Difference Method and Its Application[J]. Modern Surveying and Mapping, 2004, 27(1): 14-16
Authors:Shi Shuangzhong  Yue Dongjie  Li Leilei
Abstract:The paper introduces the principle and method of resolving time-series tendency part with higher difference method. By analyzing, processing and forecasting some settlement monitoring point's observation and comparing with Least Square method , the result showed that the method is better than the Least Square method in precision of building model and anti-gross-error. The method can apply in resolving time-series tendency part and polynomial regressive analysis.
Keywords:The Least Square method   Polynomial regressive analysis   Higher difference  Time-series   Tendency part
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