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Distribution Of Linear Fractal Interpolation Function For Random Dataset With Stable Noise

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohit Kumar & Neelesh S. Upadhye & A. K. B. Chand, 2021. "Distribution Of Linear Fractal Interpolation Function For Random Dataset With Stable Noise," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-12, June.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500869
    DOI: 10.1142/S0218348X21500869
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