An R package for an efficient approximation of first-passage-time densities for diffusion processes based on the FPTL function

An R package for an efficient approximation of first-passage-time densities for diffusion processes based on the FPTL function

0.00 Avg rating0 Votes
Article ID: iaor20123593
Volume: 218
Issue: 17
Start Page Number: 8408
End Page Number: 8428
Publication Date: May 2012
Journal: Applied Mathematics and Computation
Authors: , ,
Keywords: heuristics, numerical analysis
Abstract:

This article presents an R package that implements a general heuristic strategy for the efficient application of numerical schemes for solving Volterra integral equations which have as solution first‐passage‐time density functions associated to certain stochastic processes. Such a strategy is based on the information provided by the First‐Passage‐Time Location (FPTL) function about the location of the first‐passage‐time variable, and it is valid for general situations that expand on the particular cases considered in Román et al. (2008) . Numerical applications are shown to illustrate the validity of the strategy as well as its computational advantages.

Reviews

Required fields are marked *. Your email address will not be published.