Arbeitspapier

Delay estimation for some stationary diffusion-type processes

In this paper the asymptotic behaviour of the maximum likelihood and Bayesian estimators of a delay parameter is studied. The observed process is supposed to be the solution of a linear stochastic differential equation with one time delay term. It is shown that these estimators are consistent and their limit distributions are described. The behaviour of the estimators is similar to the behaviour of corresponding estimators in change-point problems. The question of asymptotical efficiency is also discussed.

Sprache
Englisch

Erschienen in
Series: SFB 373 Discussion Paper ; No. 1998,47

Klassifikation
Wirtschaft
Thema
Stochastic Differential Delay Equations
Diffusion-type process
Estimation of Delay
Asymptotic Properties for Large Sample Size
Asymptotic Efficiency

Ereignis
Geistige Schöpfung
(wer)
Küchler, Uwe
Kutoyants, Yuri A.
Ereignis
Veröffentlichung
(wer)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(wo)
Berlin
(wann)
1998

Handle
URN
urn:nbn:de:kobv:11-10057007
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Küchler, Uwe
  • Kutoyants, Yuri A.
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Entstanden

  • 1998

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