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Statistical Analysis of Aircraft Trajectories: a Functional Data Analysis Approach

Authors:
Florence Nicol

Keywords: curve clustering; principal component analysis; functional statistics; air traffic management.

Abstract:
In Functional Data Analysis, the underlying structure of a raw observation is functional and data are assumed to be sample paths from a single stochastic process. When data considered are functional in nature thus infinite-dimensional, like curves or images, the multivariate statistical procedures have to be generalized to the infinite-dimensional case. By approximating random functions by a finite number of random score vectors, the Principal Component Analysis approach appears as a dimension reduction technique and offers a visual tool to assess the dominant modes of variation, pattern of interest, clusters in the data and outlier detection. A functional statistics approach is applied to univariate and multivariate aircraft trajectories.

Pages: 51 to 56

Copyright: Copyright (c) IARIA, 2017

Publication date: April 23, 2017

Published in: conference

ISSN: 2519-8386

ISBN: 978-1-61208-552-4

Location: Venice, Italy

Dates: from April 23, 2017 to April 27, 2017