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LINEAR FRACTAL INTERPOLATION FUNCTION FOR DATA SET WITH RANDOM NOISE
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DOI：10.1142/S0218348X22501869.png)
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摘要
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Fractal interpolation is a contemporary technique to approximate numerous scientific experiments and natural phenomena. For data sets in 2, the simplest and easy-to-handle fractal interpolation functions (FIFs) are linear. In this study, we estimate probability distributions of linear FIFs for data sets with various types of random noise. In order to evaluate the distribution of any linear FIF associated with a prescribed data set having Student's t-distributed noise, we develop a technique to approximate the distribution of a linear combination of independent generalized Student's t-distributed random variables. In addition, we provide some statistical properties and numerical approximations of these linear fractal functions.
Keyword:
Fractal Interpolation
Distribution of Fractal Function
Student's t-Noise
Stable Noise
Random Noise
Heavy-Tailed Distribution
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2.9
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2.8K
被引数:
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