BARNDORFF-NIELSEN, OLE EILER

E-mail : oebn (AT) imf.au.dk

Professor at the Department of Mathematical Sciences, University of Aarhus, and Scientific Director of MaPhySto - Centre for Mathematical Physics and Stochastics, Denmark.

Research Interests :
His recent research interests are in quantum stochastics, stochastic analysis, and in mathematical finance and turbulence.

Awards and Honors :
Member of Academia Europaea and former President of the Bernoulli Society for Mathematical Statistics and Probability (1993-1995).

Selected Publications :
Books:

Information and Exponential Families in Statistical Theory (1978). Chichester: Wiley.

Parametric Statistical Models and Likelihood (1988). Springer Lecture Notes in Statistics. Heidelberg: Springer-Verlag.

Asymptotic Techniques for Use in Statistics (1989). London: Chapman and Hall. Joint author: D.R. Cox.

Decomposition and Invariance of Measures, with a View to Statistical Transformation Models (1989). Springer Lecture Notes in Statistics. Heidelberg: Springer-Verlag. Joint authors: P. Blæsild and P.S. Eriksen.

Inference and Asymptotics (1994). London: Chapman and Hall. Joint author: D.R. Cox.


Selected recent papers:

Prediction and asymptotics. Bernoulli 2 (1996), 319-340. Joint author: D.R. Cox.

Probability and Statistics; selfdecomposability, finance and turbulence. In L. Accardi and C.C. Heyde (Eds.): Proceedings of the Conference ''Probability towards 2000'', held at Columbia University, New York, 2-6 October 1995. (1998). Berlin: Springer-Verlag. Pp. 47-57.

Normal inverse Gaussian distributions and stochastic volatility modelling. Scand J. Statist. 24 (1997), 1-13.

Processes of normal inverse Gaussian type. Finance and Stochastics 2 (1998), 41-68.

On large deviations and choice of ancillary for r* and p*. Bernoulli 4 (1998), 35-64. Joint author: A.T.A. Wood.

Some stationary processes in discrete and continuous time. Adv. Appl. Prob. 30 (1998), 989-1007. Joint authors: J.L. Jensen and M. Sørensen.

Trees with random conductivities and the (reciprocal) inverse Gaussian distribution. Adv. Appl. Prob. 30 (1998), 409-424. Joint author: A.E. Koudou.

L-nonformation, L-ancillarity and L-sufficiency. Theory Prob. Its Appl. 44 (1999), 225-229.
Tail exactness of multivariate saddlepoint approximations. Scand. J. Statist. 26 (1999), 253-264. Joint author: C. Klüppelberg.

Stationary and selfsimilar processes driven by Lévy processes. Stoch. Proc. Appl. 84 (1999), 357-369. Joint author: V. Pérez-Abreu.

Infinite trees and inverse Gaussian random variables. Ann. Fac, Sci. Toulouse Math. 8 (1999), 25-34. Joint author: T. Rydberg.

Superposition of Ornstein-Uhlenbeck type processes. Theory Prob. Its Appl. (To appear.)

Non-Gaussian OU based models and some of their uses in financial economics. (Submitted.) Joint author: N. Shephard.

Modelling by Lévy processes for financial econometrics. In O.E. Barndorff-Nielsen, T. Mikosch and S. Resnick (Eds.): Lévy Processes - Theory and Applications. Boston: Birkhäuser. (To appear.) Joint author: N. Shephard.

Exact distributional results for random resistance trees. Scand. J. Statist. (To appear.) Joint author: T Rydberg.

Laser cooling and stochastics. In M.C.M. de Gunst, C.A.J. Klaassen and A.W. van der Vaart (Eds.): State of the Art in Probability and Statistics; Festschrift for Willem R. van Zwet.

Lecture Notes - Monograph Series. Institute of Mathematical Statistics. (To appear.) Joint author: F.E. Benth.

Apparent scaling. Finance and Stochastics. (To appear.) Joint author: K. Prause.

Modelling by Lévy processes. Academia Mexicana de Ciencias. (To appear.)

Markov processes with a singularity. (Submitted). Joint authors: F.E. Benth and J.L. Jensen.
Light, atoms and singularities. (Submitted). Joint authors: F.E. Benth and J.L. Jensen.

Selfdecomposability in free probability. (In preparation.) Joint author: S. Thorbjørnsen.

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