具有时间一次项的指数曲线研究

Research on an Exponential Curve with First Order Term of Time

摘要: 针对自然界和经济、工程等应用领域中，由确定性因素导致的非平稳序列，本文在经典的指数曲线和修正的指数曲线的基础上，提出了具有时间一次项的指数曲线。结合模型本身的结构，采用分段求和的思想给出了模型中参数的具体表达式。在此基础上，以一个具体实例，详细给出了模型的建立、求解的具体步骤。

Abstract: In view of the non-stationary sequences mainly caused by deterministic factors in the application fields of economy and engineering and nature, this paper proposes an exponential curve with first order term of time on the basis of classical exponential curve and modified exponential curve. Combining with the structure of the new model, the specific expressions of parameters in the model are derived by the idea of piecewise summation. According to these expressions, the specific steps of establishing and solving the model are given in detail with a specific example.