em_estimate_stable_from_cdf

Performs EM estimation of a two-component alpha-stable mixture using a simplified
empirical characteristic function derived from the cumulative distribution function (CDF).

Provides various functions for parameter estimation of one-dimensional
stable distributions and their mixtures. It implements a diverse set of
estimation methods, including quantile-based approaches, regression methods
based on the empirical characteristic function (empirical, kernel, and
recursive), and maximum likelihood estimation. For mixture models, it provides
stochastic expectation–maximization (SEM) algorithms and Bayesian estimation
methods using sampling and importance sampling to overcome the long burn-in
period of Markov Chain Monte Carlo (MCMC) strategies. The package also includes
tools and statistical tests for analyzing whether a dataset follows a stable
distribution. Some of the implemented methods are described in
Hajjaji, O., Manou-Abi, S. M., and Slaoui, Y. (2024) <doi:10.1080/02664763.2024.2434627>.

Solym Manou-Abi

MixStable

Parameter Estimation for Stable Distributions and Their Mixtures

Adam Najib

Yousri Slaoui

em_estimate_stable_from_cdf function

<dl><dt>data</dt>
<dd>Numeric vector of observations.</dd>
<dt>max_iter</dt>
<dd>Maximum number of EM iterations.</dd>
<dt>tol</dt>
<dd>Convergence tolerance on log-likelihood.</dd></dl>

Arguments

EM algorithm for mixture of alpha-stable distributions using CDF-based ECF — em_estimate_stable_from_cdf

<dl>

<dt>data</dt>
<dd>Numeric vector of observations.</dd>


<dt>max_iter</dt>
<dd>Maximum number of EM iterations.</dd>


<dt>tol</dt>
<dd>Convergence tolerance on log-likelihood.</dd>

</dl>

em_estimate_stable_from_cdf: EM algorithm for mixture of alpha-stable distributions using CDF-based ECF

Description

Usage

Value

Arguments