Questions tagged [functional-data-analysis]

Functional Data Analysis defines a framework where the fundamental units of analysis are functions.

Functional Data Analysis (FDA) defines a framework where the fundamental units of analysis are functions. A dataset is assumed to hold observations from an underlying smoothly varying stochastic process. Typical functional datasets are collections of curves and shapes, but also surfaces, general three dimensional objects or even more high-dimensional objects are increasingly considered.

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Different number of time-points in functional data analysis

I have a data set that I wish to analyze using functional data analysis methods. Data consists of repeated measures of some characteristic on a number of inviduals. I have the time of the measurements and these differ between individuals. So far, I…
swmo
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How to combine dissimilar curves into a single "average"?

With relevance to "functional data analysis", I am looking for some approach which can give an intermediate function among these five different function plots, where this "average function" has the closest distance at each point on the x-axis to…
vqngs
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Functional Autoregressive Process - Predictive Factors

Let $X_1,...,X_N$ be random functions on an Hilbert space $\mathbb{H}$, following a Functional Autoregressive process of order 1: $$ X_{t+1} = \Psi X_t + \varepsilon_t $$ Where $\Psi$ is a linear bounded operator on $\mathbb{H}$ and…
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Question about example in Linear Models for Functional Responses

I am reading Chapter 10 Linear Models for Functional Responses of Functional Data Analysis with R and Matlab by Ramsay. On page 148, the book mentions the model for "Climate Region Effects on Temperature". $y_i(t)=\beta_0(t)+\sum_{j=1}^4 x_{ij}…
NiubilityDiu
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