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2023 | OriginalPaper | Chapter

Distribution of Noise in Linear Recurrent Fractal Interpolation Functions for Data Sets with \(\alpha \)-Stable Noise

Authors : Mohit Kumar, Neelesh S. Upadhye, A. K. B. Chand

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

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Abstract

In this study, we construct a linear recurrent fractal interpolation function (RFIF) with variable scaling parameters for data set with \(\alpha \)-stable noise (a generalization of Gaussian noise) on its ordinate, which captures the uncertainty at any missing or unknown intermediate point. The propagation of uncertainty in this linear RFIF is investigated, and a method for estimating parameters of the uncertainty at any interpolated value is provided. Moreover, a simulation study to visualize uncertainty for interpolated values is presented.

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previous chapter Computational and Experimental Investigation of Flow and Convective Heat Transfer Along Rough Surfaces
next chapter Oblivious Transfer Using Non-abelian Groups
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Metadata
Title
Distribution of Noise in Linear Recurrent Fractal Interpolation Functions for Data Sets with -Stable Noise
Authors
Mohit Kumar
Neelesh S. Upadhye
A. K. B. Chand
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_2

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