Recent publications: 2001 -
Papers published in Journals:
- A.A. Gushchin and E. Valkeila (2001),
On statistical experiments
converging to exponential limits,
Statistics & Decisions, 19, 173-191,
PDF-version .
- 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 , 21, 219-260.
- A. Kukush, Y. Mishura and E. Valkeila (2005),
Statistical inference with fractional Brownian motion ,
Statistical Inference for Stochastic processes, 8, 71-93.
- C. Bender, T. Sottinen, and E. Valkeila (2008),
Pricing by hedging and no-arbitrage beyond
semimartingales pdf .
Finance & Stochastics, 12, 441-468.
- E. Azmoodeh, Y. Mishura, and E. Valkeila (2009),
On hedging European options in geometric fractional Brownian mo
tion market model.
pdf
Statistics &
Decisions , Vol. 27, 129-143, DOI 10.1524/stnd.2009.1021.
- Y. Mishura and E. Valkeila (2010).
An extension of the Lévy characterization to
fractional Brownian motion
ArXive.
Annals of Probability, forthcoming.
- E. Azmoodeh, H. Tikanmäki, and E. Valkeila (2010).
When does fractional Brownian motion not behave as a continuous
function with bounded variation?.
ArXive .
Statistics & probability letters
80(19-20), 2010.
- D. Gasbarra, J.I. Morlanes, and E. Valkeila (2010).
Initial enlargement in a Markov chain market model ,
Stochastics and Dynamics, forthcoming.
- P.V. Gapeev, T. Sottinen, and E. Valkeila (2010).
Robust replication in H-self-similar Gaussian market models under uncertainty
pdf.
London School of Economics, CDAM Research Report LSE-CDAM-2007-28.,
Statistics &
Decisions , forthcoming.
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
- D. Gasbarra and E. Valkeila (2004),
Initial enlargement: a Bayesian approach
PDF-file ,
Theory of Stochastic Processes, 9, 26-37.
- D. Gasbarra, E. Valkeila , and L. Vostrikova (2006),
Enlargement of filtration and additional information in pricing models: a
Bayesian
approach , pdf file,
in
From Stochastic Calculus to Mathematical
Finance,
The Shiryaev Festschrift (ed.: Y. Kabanov, R. Liptser, and J. Stoyanov),
Springer, 257-286.
- D. Gasbarra, T. Sottinen, and E. Valkeila (2007)
Gaussian bridges, Insititute of mathematics, pdf
in
The 2005 Abel conference. Stochastic Analysis and Applications (ed.: F. E. Benth, G. DiNunno, T. Lindstr{\o}m, B. {\O}ksendal,
and T. Zhang), Springer, 361-382.
- C. Bender, T. Sottinen, and E. Valkeila (2007),
Arbitrage with fractional Brownian motion pdf .
Theory of Stochastic Processes , 13, 23-34.
- E. Valkeila (2009). On the approximation of geometric
fractional Brownian motion ,
pdf , in
Optimality and Risk - Modern Trends in Mathematical Finance:
The Kabanov Festschrift
(ed.: F. Delbaen, M. Rásonyi, and C. Stricker)
- C. Bender, T. Sottinen, and E. Valkeila (2010),
Fractional processes as models in stochastic finance ,
ArXive ,
To appear: Advanced Mathematical Methods for Finance
(Eds. G. Di Nunno and B. Oksendal, in Series in Mathematical
Finance, Springer)
Preprints:
- T. Sottinen and E. Valkeila (2001),
Fractional Brownian motion as a model in finance ,
Department of Mathematics, Preprint 302,
PS-file .
- E. Azmoodeh, and E. Valkeila (2010).
Spectral characterization for the quadratic variation of mixed
Brownian fractional Brownian motion
ArXive .
Submitted.
Others
- E. Valkeila (2004), Aika ja sattuman matematiikka
virkaanastujaisesitelmä 27.4. 2004 .
- E. Valkeila (2009), Onko finanssimatematiikka
esimerkki kestämättömästä kehityksestä ? Esitelmä TEK:n
kestävän kehityksen seminaarissa 19.11. 2009.
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Esko Valkeila
Last modified: Mon Dec 27 10:38:37 EET 2010