Exponential rate of convergence of maximum likelihood estimators for inhomogeneous Wiener processes

Friedrich Liese; Andreas Wienke

Kybernetika (1995)

  • Volume: 31, Issue: 5, page 489-507
  • ISSN: 0023-5954

How to cite

top

Liese, Friedrich, and Wienke, Andreas. "Exponential rate of convergence of maximum likelihood estimators for inhomogeneous Wiener processes." Kybernetika 31.5 (1995): 489-507. <http://eudml.org/doc/27931>.

@article{Liese1995,
author = {Liese, Friedrich, Wienke, Andreas},
journal = {Kybernetika},
keywords = {maximum likelihood estimator; exponential bounds; inhomogeneous Wiener process; mean function; strong consistency},
language = {eng},
number = {5},
pages = {489-507},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Exponential rate of convergence of maximum likelihood estimators for inhomogeneous Wiener processes},
url = {http://eudml.org/doc/27931},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Liese, Friedrich
AU - Wienke, Andreas
TI - Exponential rate of convergence of maximum likelihood estimators for inhomogeneous Wiener processes
JO - Kybernetika
PY - 1995
PB - Institute of Information Theory and Automation AS CR
VL - 31
IS - 5
SP - 489
EP - 507
LA - eng
KW - maximum likelihood estimator; exponential bounds; inhomogeneous Wiener process; mean function; strong consistency
UR - http://eudml.org/doc/27931
ER -

References

top
  1. K. Dzhaparidze, E. Valkeila, On the Hellinger type distances for filtered experiments, Probab. Theory Related Fields 85 (1990), 105-117. (1990) Zbl0671.60044MR1044303
  2. I. A. Ibragimov, R. Z. Hasminskij, Asymptotic Estimation Theory, (in Russian). Nauka, Moscow 1979. (1979) 
  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. Zbl0806.62065MR1200407
  4. F. Liese, I. Vajda, Convex Statistical Distances, Teubner-Verlag, Leipzig 1987. (1987) Zbl0656.62004MR0926905
  5. F. Liese, A. Wienke, Asymptotische Normalitat von Maximum-Likelihood- Schatzern in inhomogenen Wienerprozessen, Rostock. Math. Kolloq. 47 (1994), 31-48. (1994) MR1304868
  6. T. Pfaff, Quick consistency of quasi maximum likelihood estimators, Ann. Math. Statist. 10 (1982), 3, 900-1005. (1982) Zbl0499.62033MR0663450
  7. A. Renyi, Wahrscheinlichkeitsrechnung mit einem Anhang über Informationstheorie, VEB Deutscher Verlag der Wissenschaften, Berlin 1977. (1977) Zbl0396.60001MR0474442

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.