As a branch of statistics, functional data analysis analyzes data based on the informationabout curves, functions, surfaces or anything else varying over a continuum such as time orspatial location, etc. This topic has been drawing more and more attention by scientistsand other people in recent years since in many real problems, samples are often collected on curves and other functional observations. Therefore, it also calls for various statistical models and methodologies to perform inference on the data appropriately. In this article, I introduce some examples of functional analysis problem from real world and develop methodologies that provide powerful tools to address statistical concerns.
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