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When the Data are Functions

Psychometrika, 1982
A datum is often a continuous function x(t) of a variable such as time observed over some interval. One or more such functions are observed for each subject or unit of observation. The extension of classical data analytic techniques designed for p-variate observations to such data is discussed.
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Multiscale Clustering for Functional Data

Journal of Classification, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yaeji Lim   +2 more
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Functional Data Structures

1996
A functional data structure is a data structure that is suitable for implementation in a functional programming language, or for coding in an ordinary language like C or Java using a functional style. Functional data structures are closely related to persistent data structures and immutable data structures—in fact, the three terms are often used ...
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An anova test for functional data

Computational Statistics & Data Analysis, 2004
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Antonio Cuevas   +2 more
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Functional Data Analysis for Sparse Functional Data

2018
With the development of science and modern technology, more and more data are being collected continuously over a time interval in various disciplines, such as public health, biology, medicine and finance. Such data can be viewed as ``functional data". Functional data analysis (FDA), which deals with the analysis and theory of functional data, has been
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The Functional Data Model and the Data Language DAPLEX

ACM Transactions on Database Systems, 1979
DAPLEX is a database language which incorporates: This paper presents and motivates the DAPLEX language and the underlying data model on which it is based.
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On the use of the bootstrap for estimating functions with functional data

Computational Statistics & Data Analysis, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Cuevas   +2 more
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Function-on-function regression for two-dimensional functional data

Communications in Statistics - Simulation and Computation, 2017
ABSTRACTWe present methods for modeling and estimation of a concurrent functional regression when the predictors and responses are two-dimensional functional datasets. The implementations use spline basis functions and model fitting is based on smoothing penalties and mixed model estimation. The proposed methods are implemented in available statistical
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Functional analysis of glaucoma data

Statistics in Medicine, 2013
We refer glaucoma to a category of eye disorders often associated with a dangerous buildup of intraocular pressure (IOP), which can damage the eyes’ optic nerve that transmits visual information to the brain. Because IOP changes over time, it is a function of time, and it is an advantage that we analyze the phenomenon using functional data analysis. In
Hosseini-Nasab, Mohammad   +1 more
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Functional programs as compressed data

Proceedings of the ACM SIGPLAN 2012 workshop on Partial evaluation and program manipulation, 2012
We propose an application of programming language techniques to lossless data compression, where tree data are compressed as functional programs that generate them. This "functional programs as compressed data" approach has several advantages. First, it follows from the standard argument of Kolmogorov complexity that the size of compressed data can be ...
Naoki Kobayashi 0001   +2 more
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