Papers published in Journals:
- I. Norros, E. Valkeila and J. Virtamo (1999),
An elementary approach to a Girsanov formula and other analytical
results for fractional Brownian motion , Bernoulli, 5, 571 -587.
PS- version,
errata .
- A. Novikov and E. Valkeila (1999),
On some maximal inequalities for fractional Brownian motions ,
Statistics & Probability Letters, 44, 47-54,
PDF-version .
- E. Valkeila and A.V. Melnikov (1999),
Martingale models for stochastic approximation and their convergence
(in Russian), Theory of Probability and its applications, 44, 278-311.
- A.A. Gushchin and E. Valkeila (2001),
On statistical experiments
converging to exponential limits,
Statistics & Decisions, 19, 173-191,
PDF-version .
- Y. Mishura and E. Valkeila (2000),
An isometric approach to
generalized stochastic integrals ,
Journal of Theoretical Probability 13, 673-693
, PDF-file .
- J. Memin, Y. Mishura and E. Valkeila ( 2001),
Inequalities for the moments of Wiener integrals with respects to
a fractional Brownian motion,
Statistics & Probability Letters, 51, 197-206,
PDF-file .
- Y. Mishura and E. Valkeila (2001),
Martingale transforms and Girsanov theorem for
long-memory Gaussian processes,
Statistics & Probability Letters, 55, 421-430.
- F. Delbain, Y. Kabanov and E. Valkeila (2002),
Hedging under
transaction costs in currency markets: a discrete-time model,
Mathematical Finance, 12, 45-61,
PDF-file .
- K. Dzhaparidze, P.J.C. Spreij and E. Valkeila (2002),
Information concepts in Filtered experiments ,
Theory of Probability and Mathematical Statistics, 67, 38-56,
PS-file .
- K. Dzhaparidze, P.J.C. Spreij and E. Valkeila (2003),
Information processes for semimartingale
experiments, Annals of Probability, 31, 216-243,
PDF-file .
- T. Sottinen and E. Valkeila (2003),
On arbitrage and replication in the fractional
Black-Scholes pricing model
ps-file , Statistics & Decisions ,
21, 93-107.
- A. A. Gushchin and E. Valkeila (2003),
Approximations and limit theorems for likelihood ratio processes
in the binary case ,
PDF-file
Statistics & Decisions ,
(to appear) 47 pages.
Papers published in books and conferences:
- A.A. Gushchin and E. Valkeila (2001), Exponential
Approximation of Statistical Experiments,
in Asymptotic Methods in
Probability and Statistics with Applications (N. Balakrishnan et.al
(editors)), Birkhäuser, 409 - 423 PDF-file .
- Yu. S. Mishura and E. Valkeila (2000),
On the absence of arbitrage in the
mixed Brownian-fractional Brownian market model,
Proceedings of the Steklov Institute of Mathematics, v.237,
215-224.
- A.N. Shiryaev, E. Valkeila and L. Vostrikova, L. (2000),
About characterization of lower and upper functions for square-integrable
martingales, Proceedings of the Steklov Institute of Mathematics, v.237,
281-292.
Preprints:
- T. Sottinen and E. Valkeila (2001),
Fractional Brownian motion as a model in finance ,
Department of Mathematics, Preprint 302,
PS-file .
- A. Kukush, Y. Mishura and E. Valkeila (2001),
Statistical inference with fractional Brownian motion ,
University of Turku, Institute of Applied Mathematics, A41
PDF-file (of the submitted
paper).
- D. Gasbarra and E. Valkeila (2003),
Initial enlargement: a Bayesian approach
PDF-file .
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Esko Valkeila
Last modified: Wed Apr 14 21:28:02 EET 2004