Arbeitspapier

Forward and reverse representations for Markov chains

In this paper we carry over the concept of reverse probabilistic representations developed in Milstein, Schoenmakers, Spokoiny (2004) for diffusion processes, to discrete time Markov chains. We outline the construction of reverse chains in several situations and apply this to processes which are connected with jump-diffusion models and finite state Markov chains. By combining forward an reverse representations we then construct transition density estimators for chains which have root-N accuracy in any dimension and consider some applications.

Language
Englisch

Bibliographic citation
Series: SFB 649 Discussion Paper ; No. 2006,041

Classification
Wirtschaft
Subject
transition density estimation
forward and reverse Markov chains
Monte Carlo simulation
estimation of risk

Event
Geistige Schöpfung
(who)
Milstein, Grigori N.
Schoenmakers, John G. M.
Spokoiny, Vladimir
Event
Veröffentlichung
(who)
Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk
(where)
Berlin
(when)
2006

Handle
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Milstein, Grigori N.
  • Schoenmakers, John G. M.
  • Spokoiny, Vladimir
  • Humboldt University of Berlin, Collaborative Research Center 649 - Economic Risk

Time of origin

  • 2006

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