Estimating the p-variation index of a sample function: An application to financial data set

Mathematics – Statistics Theory

Scientific paper

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24 pages, 6 figures, LaTex

Scientific paper

This paper modifies a box-counting method of estimating a fractal dimension
of a graph, and applies it to estimate the roughness of a sample function of a
stochastic process such as a Levy process or a Gaussian process with stationary
increments

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