| ZELINKA, Jiří. Random Functional Variable and Fourier Series. In Germán Aneiros, Enea G. Bongiorno, Ricardo Cao, Philippe Vieu. Functional Statistics and Related Fields. Cham, SWITZERLAND: Springer International Publishing, 2017, p. 279-286. ISBN 978-3-319-55845-5. Available from: https://dx.doi.org/10.1007/978-3-319-55846-2_36. |
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@inproceedings{1402236,
author = {Zelinka, Jiří},
address = {Cham, SWITZERLAND},
booktitle = {Functional Statistics and Related Fields},
doi = {http://dx.doi.org/10.1007/978-3-319-55846-2_36},
editor = {Germán Aneiros, Enea G. Bongiorno, Ricardo Cao, Philippe Vieu},
keywords = {random functional variable; Fourier series; normal distribution},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Cham, SWITZERLAND},
isbn = {978-3-319-55845-5},
pages = {279-286},
publisher = {Springer International Publishing},
title = {Random Functional Variable and Fourier Series},
url = {https://link.springer.com/chapter/10.1007/978-3-319-55846-2_36},
year = {2017}
}
TY - JOUR
ID - 1402236
AU - Zelinka, Jiří
PY - 2017
TI - Random Functional Variable and Fourier Series
PB - Springer International Publishing
CY - Cham, SWITZERLAND
SN - 9783319558455
KW - random functional variable
KW - Fourier series
KW - normal distribution
UR - https://link.springer.com/chapter/10.1007/978-3-319-55846-2_36
L2 - https://link.springer.com/chapter/10.1007/978-3-319-55846-2_36
N2 - This paper presents how a functional random variable can be expressed in the form of Fourier series. This expansion can be used for the definition of components of the functional random variable and for the approximation of the random curves as the partial sum of the Fourier series. Thus we can estimate the distribution of the components, simulate the functional random variable with given components and compute some characteristics of the distribution of its norm.
ER -
ZELINKA, Jiří. Random Functional Variable and Fourier Series. In Germán Aneiros, Enea G. Bongiorno, Ricardo Cao, Philippe Vieu. \textit{Functional Statistics and Related Fields}. Cham, SWITZERLAND: Springer International Publishing, 2017, p.~279-286. ISBN~978-3-319-55845-5. Available from: https://dx.doi.org/10.1007/978-3-319-55846-2\_{}36.
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