Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/244555 
Year of Publication: 
2019
Series/Report no.: 
Working Paper No. 9/2019
Publisher: 
Örebro University School of Business, Örebro
Abstract: 
Linear fractional stable motion is a type of a stochastic integral driven by symmetric alpha-stable L´evy motion. The integral could be considered as a non-Gaussian analogue of the fractional Brownian motion. The present paper discusses R package rlfsm created for numerical procedures with the linear fractional stable motion. It is a set of tools for simulation of these processes as well as performing statistical inference and simulation studies on them. We introduce: tools that we developed to work with that type of motions as well as methods and ideas underlying them. Also we perform numerical experiments to show finite-sample behavior of certain estimators of the integral, and give an idea of how to envelope workflow related to the linear fractional stable motion in S4 classes and methods. Supplementary materials, including codes for numerical experiments, are available online. rlfsm could be found on CRAN and gitlab.
Subjects: 
Fractional processes
limit theorems
parametric estimation
stochastic simulation
stable motion
JEL: 
C00
C13
C15
C88
Document Type: 
Working Paper

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