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Title: Exponential rate of convergence of maximum likelihood estimators for inhomogeneous Wiener processes (English)
Author: Liese, Friedrich
Author: Wienke, Andreas
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 31
Issue: 5
Year: 1995
Pages: 489-507
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Category: math
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MSC: 60J65
MSC: 62F12
MSC: 62M05
idZBL: Zbl 0858.62071
idMR: MR1361310
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Date available: 2009-09-24T18:57:52Z
Last updated: 2012-06-06
Stable URL: http://hdl.handle.net/10338.dmlcz/124776
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Reference: [1] K. Dzhaparidze, E. Valkeila: On the Hellinger type distances for filtered experiments.Probab. Theory Related Fields 85 (1990), 105-117. Zbl 0671.60044, MR 1044303
Reference: [2] I. A. Ibragimov, R. Z. Hasminskij: Asymptotic Estimation Theory.(in Russian). Nauka, Moscow 1979.
Reference: [3] J. Jacod: Random Sampling in Estimation Problems for Continuous Gaussian Processes with Independent Increments.Preprint No. 57 Laboratoire de Probabiltes de l' Universite Paris V. Zbl 0806.62065, MR 1200407
Reference: [4] F. Liese, I. Vajda: Convex Statistical Distances.Teubner-Verlag, Leipzig 1987. Zbl 0656.62004, MR 0926905
Reference: [5] F. Liese, A. Wienke: Asymptotische Normalitat von Maximum-Likelihood- Schatzern in inhomogenen Wienerprozessen.Rostock. Math. Kolloq. 47 (1994), 31-48. MR 1304868
Reference: [6] T. Pfaff: Quick consistency of quasi maximum likelihood estimators.Ann. Math. Statist. 10 (1982), 3, 900-1005. Zbl 0499.62033, MR 0663450
Reference: [7] A. Renyi: Wahrscheinlichkeitsrechnung mit einem Anhang über Informationstheorie.VEB Deutscher Verlag der Wissenschaften, Berlin 1977. Zbl 0396.60001, MR 0474442
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