R/Rmfrac.R

In Rmfrac: Simulation and Statistical Analysis of Multifractional Processes

#' Rmfrac: Simulation and analysis of multifractional processes
#'
#' A collection of tools for simulating, analysing and visualising multifractional processes
#' and time series. The package includes estimation techniques for the Hurst function,
#' Local Fractal Dimension and several other geometric statistics. It provides highly customisable
#' plotting functions for simulated realisations, user-provided time series and their statistics.
#'
#' @section Features:
#' \itemize{
#'   \item Simulation of Brownian motion, fractional Brownian motion, fractional Gaussian noise,
#'         Brownian bridge and fractional Brownian bridge.
#'   \item Simulation of Gaussian Haar-based multifractional process (GHBMP).
#'   \item Estimation of Hurst function and Local Fractal Dimension.
#'   \item Customisable plotting functions for GHBMP and user provided time series
#'         with estimates of Hurst function and Local Fractal Dimension.
#'   \item Estimation and visualisation of geometric statistics using realisations of stochastic processes
#'         and time series. Clustering based on the Hurst function. Estimating sojourn measure, excursion area, etc.
#'   \item An interactive Shiny application that provides options to explore and visualise
#'         the core functionalities of the package through simulations and user-provided time series.
#' }
#'
#' @author
#'
#' \itemize{
#'   \item Andriy Olenko \href{https://orcid.org/0000-0002-0917-7000}{ORCID} <a.olenko@latrobe.edu.au>
#'   \item Nemini Samarakoon \href{https://orcid.org/0009-0000-2107-1973}{ORCID} <neminisamarakoon95@gmail.com>
#' }
#'
#' @seealso
#' Useful links:
#' \itemize{
#'   \item \url{https://github.com/Nemini-S/Rmfrac}
#'   \item Report bugs at \url{https://github.com/Nemini-S/Rmfrac/issues}
#' }
#'
#' @docType package
#' @name Rmfrac-package
"_PACKAGE"