Linear Fractional Stable Motion with the RLFSM R Package

Arbeitspapier

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.

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• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Working Paper ; No. 9/2019

Classification and Topics

• Classification: Wirtschaft ; Mathematical and Quantitative Methods: General ; Estimation: General ; Statistical Simulation Methods: General ; Data Collection and Data Estimation Methodology; Computer Programs: Other Computer Software
• Subject: Fractional processes ; limit theorems ; parametric estimation ; stochastic simulation ; stable motion

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Mazur, Stepan ; Otryakhin, Dmitry
• Event: Veröffentlichung
• (who): Örebro University School of Business
• (where): Örebro
• (when): 2019

Further information

• Handle: http://hdl.handle.net/10419/244555