Journal of Statistical Software (Apr 2014)

The YUIMA Project: A Computational Framework for Simulation and Inference of Stochastic Differential Equations

  • Alexandre Brouste,
  • Masaaki Fukasawa,
  • Hideitsu Hino,
  • Stefano Iacus,
  • Kengo Kamatani,
  • Yuta Koike,
  • Hiroki Masuda,
  • Ryosuke Nomura,
  • Teppei Ogihara,
  • Yasutaka Shimuzu,
  • Masayuki Uchida,
  • Nakahiro Yoshida

DOI
https://doi.org/10.18637/jss.v057.i04
Journal volume & issue
Vol. 57, no. 1
pp. 1 – 51

Abstract

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The YUIMA Project is an open source and collaborative effort aimed at developing the R package yuima for simulation and inference of stochastic differential equations. In the yuima package stochastic differential equations can be of very abstract type, multidimensional, driven by Wiener process or fractional Brownian motion with general Hurst parameter, with or without jumps specified as Lvy noise. The yuima package is intended to offer the basic infrastructure on which complex models and inference procedures can be built on. This paper explains the design of the yuima package and provides some examples of applications.