This paper discusses the application of time series analysis in financial markets and biological phenomena. It expounds the basic theory of time series analysis, including the concepts and characteristics of time series and commonly used time series models. It also provides an in-depth analysis of its application in financial markets, covering the characteristics of financial time series and specific applications in stock markets and foreign exchange markets, such as stock price forecasting, risk measurement, foreign exchange rate forecasting and volatility analysis. It also discusses the application of time series analysis in biological phenomena, including the characteristics of biological time series and its application in biological growth and development, such as modeling the growth curves of animals and plants, and studying the dynamics of microbial populations. The application of time series analysis in these two fields is summarized, providing a valuable reference for related research and practice.
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