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GeoBosh/StableEstim

R package for estimation of the four parameters of stable distributions. The package also provides functions to compute characteristic functions and tools to run Monte Carlo simulations.

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Installing StableEstim

The latest stable version is on
CRAN.

install.packages("StableEstim")

You can install the development version of
StableEstim from Github:

remotes::install_github("GeoBosh/StableEstim")

Overview

A collection of methods to estimate the four parameters of stable
distributions. The package also provides functions to compute
characteristic functions and tools to run Monte Carlo simulations.

The main functions of package StableEstim are briefly described below:

  • main function: Estim() estimates the parameters by various
    methods. Also gives the associated asymptotic properties of the
    estimators.

  • estimation functions for specific methods: these functions are called by Estim() but can be used directly, as well. The methods provided so far are:

    • the maximum-likelihood (MLParametersEstim()),

    • the generalised method of moments with a finite (GMMParametersEstim())
      or continuum moment conditions (CgmmParametersEstim()),

    • the iterative Koutrouvelis regression method
      (KoutParametersEstim()),

    • the fast Kogon-McCulloch method used for first guess estimation
      (IGParametersEstim).

  • characteristic function: the characteristic function (ComplexCF())
    and its Jacobian (jacobianComplexCF()) can be computed and will
    return a vector (respectively a matrix) of complex numbers.

  • Monte Carlo simulation: a tool to run a Monte Carlo simulation
    (Estim_Simulation()) is provided and can save output files and/or
    produce statistical summary.

The package is developed by Tarak Kharrat and Georgi N.Boshnakov.

Languages

R82.5%TeX17.5%

Contributors

Created June 15, 2019
Updated December 9, 2025
GeoBosh/StableEstim | GitHunt