Affiliation:
1. 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 [Formula: see text], where randomness in the data is induced, using [Formula: see text]-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.
Funder
Science and Engineering Research Board
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modelling and Simulation
Cited by
3 articles.
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