DISTRIBUTION OF LINEAR FRACTAL INTERPOLATION FUNCTION FOR RANDOM DATASET WITH STABLE NOISE

Mohit Kumar, Neelesh S. Upadhye and A. K. B. Chand
Additional contact information
Mohit Kumar: Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India
Neelesh S. Upadhye: Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India
A. K. B. Chand: Department of Mathematics, Indian Institute of Technology Madras, Chennai 600036, India

FRACTALS (fractals), 2021, vol. 29, issue 04, 1-12

Abstract: In this paper, we derive the probability distribution of linear fractal interpolation function (FIF) for a random dataset on ℠2, where randomness in the data is induced, using α-stable noise, in the second coordinate. In particular, we show that the distribution of linear FIF, at any point (on the first coordinate), is also stable, but with different parameters which can be estimated. Finally, we also provide statistical validity of our results.

Keywords: Fractal Interpolation Function; Random Fractal Function; Distribution of Linear Fractal Interpolation Function; Stable Distribution; Stable Noise (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500869
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500869

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21500869

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().