论文标题
对增长趋势的一般描述
A General Description of Growth Trends
论文作者
论文摘要
显示周期性的时间序列可以用傅立叶扩展来描述。同样，最近开发的形式主义可以描述具有最佳参数数量的生长模式（Elitzur等，2020）。该方法已应用于国家GDP，人口和COVID-19大流行的生长；在所有情况下，长期增长模式与纯指数级的偏差不超过两个其他参数，其中大部分只有一个。在这里，我利用新框架来为描述生长减速的所有功能开发统一的公式，其中增长率随时间而降低。结果为时间序列分析中的趋势去除提供了新的一般工具的前景。
Time series that display periodicity can be described with a Fourier expansion. In a similar vein, a recently developed formalism enables description of growth patterns with the optimal number of parameters (Elitzur et al, 2020). The method has been applied to the growth of national GDP, population and the COVID-19 pandemic; in all cases the deviations of long-term growth patterns from pure exponential required no more than two additional parameters, mostly only one. Here I utilize the new framework to develop a unified formulation for all functions that describe growth deceleration, wherein the growth rate decreases with time. The result offers the prospects for a new general tool for trend removal in time-series analysis.
