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DISTRIBUTION OF LINEAR FRACTAL INTERPOLATION FUNCTION FOR RANDOM DATASET WITH STABLE NOISE
Fractals ( IF 3.3 ) Pub Date : 2021-05-07 , DOI: 10.1142/s0218348x21500869
MOHIT KUMAR 1 , NEELESH S. UPADHYE 1 , A. K. B. CHAND 1
Affiliation  

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.

中文翻译:

具有稳定噪声的随机数据集的线性分形插值函数分布

在本文中,我们推导了随机数据集的线性分形插值函数(FIF)的概率分布2,其中数据中的随机性被诱导,使用α- 稳定的噪音,在第二个坐标。特别是,我们表明线性 FIF 的分布,在任何点(在第一个坐标上)也是稳定的,但可以估计不同的参数。最后,我们还提供了结果的统计有效性。
更新日期:2021-05-07
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