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.

Language
Englisch

Bibliographic citation
Series: SFB 373 Discussion Paper ; No. 1998,47

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

Event
Geistige Schöpfung
(who)
Küchler, Uwe
Kutoyants, Yuri A.
Event
Veröffentlichung
(who)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(where)
Berlin
(when)
1998

Handle
URN
urn:nbn:de:kobv:11-10057007
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

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

Time of origin

  • 1998

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