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Random Functional Variable and Fourier Series

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Abstract

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.

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  • DOI: 10.1007/978-3-319-55846-2_36
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References

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Correspondence to Jiří Zelinka .

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Zelinka, J. (2017). Random Functional Variable and Fourier Series. In: Aneiros, G., G. Bongiorno, E., Cao, R., Vieu, P. (eds) Functional Statistics and Related Fields. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-55846-2_36

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