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Stochastic Processes
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In: Probability Theory and Mathematical Statistics. Proceedings
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odnitsky).
Journal of Multivariate Analysis, 35 (1990), 308-313.
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Statistics and Probability Letters, 10 (1990) 167-172.
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Abstract.
- ``Conditional moments and linear regression for stable
random variables'' (with Gennady
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Stochastic Processes and their Applications, 39 (1991)
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[MR Ref: 93b:60033], [AMS Subj. Class.: 60E07 (62J05)].
Abstract.
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``Non linear regression of stable random
variables'' (with
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The Annals of Applied Probability, 1 (1991) 582-612.
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[MR Ref: 92j:60014], [AMS Subj. Class.: 60E07 (62E10 62J05)].
Abstract.
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``Numerical computation of non-linear stable regression functions''
(with Clyde D. Hardin Jr. and Gennady Samorodnitsky).
In: Stable Processes and Related Topics, S. Cambanis,
G. Samorodnitsky and M.S. Taqqu, eds., pp. 143-180. Birkhäuser,
Boston (1991).
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[MR Ref: 92f:60022], [AMS Subj. Class.: 60E07 (60-04 62J02 65U05)].
Abstract.
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In: Random Walks, Brownian Motion and Interacting Particle
Systems'', R. Durrett ad H. Kesten, editors. pp. 425-440,
Birkhäuser, Boston (1991).
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polynomials with long-range dependence'' (with Norma Terrin).
Probability Theory and Related Fields, 90 (1991)
57-81.
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[MR Ref: 92k:60088], [AMS Subj. Class.: 60G18 (60F05 60G10)].
Abstract.
- ``Convergence to a Gaussian limit as the normalization exponent
tends to 1/2'' (with Norma Terrin).
Statistics and Probability Letters, 11 (1991) 419-427.
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[MR Ref: 93d:60036], [AMS Subj. Class.: 60F05].
Abstract.
- ``The asymptotic dependence structure of the linear fractional
Lévy motion'' (with A. Astrauskas and Joshua B. Levy).
Lietuvos Matematikos Rinkinys
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[MR Ref: 93f:60049], [AMS Subj. Class.: 60G18 (60E07)].
Abstract.
- ``A characterization of the asymptotic behavior of stationary
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In: Stable Processes and Related Topics, S. Cambanis,
G. Samorodnitsky and M.S. Taqqu, eds., pp. 181-198, Birkhäuser,
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[MR Ref: 92j:60015], [AMS Subj. Class.: 60E07 (60G10)].
Abstract.
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LePage
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In: Stable Processes and Related Topics, S. Cambanis,
G. Samorodnitsky and M.S. Taqqu, eds., pp. 121-141,
Birkhäuser, Boston (1991).
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Abstract.
- ``Sample path properties of stochastic processes represented as
multiple stable integrals'' (with Jan Rosinski and Gennady
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37 (1991) 115-134.
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Abstract.
- ``Bivariate symmetric statistics of long-range dependent
observations'' (with Herold Dehling).
Journal of Statistical Planning and Inference,
28 (1991), 153-165.
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[MR Ref: 92i:61202], [AMS Subj. Class.: 62G30 (60F17 62F12)].
Abstract.
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securities
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- `` The Bernoulli Society Twentieth Conference on Stochastic
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David Brillinger, Peter Caines, John Geweke,
Emanuel Parzen,
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Acta Mathematica Hungarica, 60 (1992) 267-274.
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Abstract.
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alpha-stable
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The Annals of Probability, 20 (1992), 483-503.
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self-similar
processes of Chentsov type'' (with Piotr
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- ``Asymptotic dependence of moving average type self-similar
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Nagoya Mathematical Journal, 130 (1993) 85-100.
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Abstract.
- ``Stochastic monotonicity and Slepian-type inequalities for infinitely
divisible and stable random vectors'' (with Gennady Samorodnitsky).
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- ``Zero-one laws for multilinear forms in Gaussian and other
infinitely divisible random variables'' (with Jan Rosinski and
Gennady Samorodnitsky). The Journal of Multivariate
Analysis, 46 (1993) 61-82.
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Abstract.
- ``Statistical analysis of high-time resolution Ethernet LAN
traffic measurements'' (with Will E. Leland, Walter Willinger
and Daniel V. Wilson). In: Statistical Applications
of Expanding Computer Capabilities. Proceedings of
the
25th Symposium on the Interface between Statistics and
Computer Science. M.E. Tarter and M.D. Lock, editors.
Computing Science and Statistics, 25 (1993), 146-155.
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- ``On the self-similar nature of Ethernet traffic''
(with Will E. Leland,
Walter Willinger and Daniel V. Wilson).
ACM/SIGCOMM'93. Computer Communication Review, 23
(1993), 183-193.
Reprinted in Trends in Networking --
Internet, the conference book of the Spring 1995
Conference of the
National Unix User Group of the Netherlands (NLUUG).
Also reprinted in
Computer Communication Review, 25, Nb. 1 (1995), 202-212, a
special anniversary issue devoted to ``Highlights from 25 years of the
Computer Communications Review''.
[Authors: L, T, Will, Wils].
- ``On the self-similar nature of Ethernet traffic (Extended
Version)'' (with Will E. Leland,
Walter Willinger and Daniel V. Wilson).
IEEE/ACM Transactions in Networking, 2
(1994), 1-15. Extended version of the preceding publication. This
paper received the 1995 William J. Bennett Award from the IEEE
Communications Society
and also the 1996 W. R. G. Baker Prize Award from the IEEE.
[Authors: L, T, Will, Wils].
- ``Statistical analysis and stochastic modeling of self-similar data
traffic''
(with Will E.
Leland,
Walter Willinger and Daniel V. Wilson).
In: The Fundamental Role of Teletraffic in the Evolution
of Telecommunications Networks. Proceedings of the 14th
International Teletraffic Congress (ITC '94). J. Labetoulle and
J.W. Roberts, editors. Vol. 1a, (1994) pp. 319-328.
Elsevier Science
B.V.: Amsterdam.
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- ``On traffic measurements that defy traffic models (and vice versa):
self-similar traffic modeling for high-speed networks''
(with Walter Willinger, Daniel V. Wilson and Will E. Leland).
ConneXions, 8, Nb. 11 (1994), 14-24.
[Authors: Will, Wils, L, T].
- ``Lévy measures of infinitely divisible random vectors and
Slepian inequality'' (with Gennady Samorodnitsky).
The Annals of Probability, 22 (1994), 1930-1956.
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Abstract.
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Journal of Time Series
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Abstract.
- ``New classes of self-similar symmetric stable
random fields''
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Journal of Theoretical Probability, 7 (1994), 527-549.
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[MR Ref: 95i:60033], [AMS Subj. Class.: 60G18 (60E07)].
Abstract.
- ``Does asymptotic linearity of the regression extend to stable
domains
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Journal of Multivariate Analysis, (1994) 70-86.
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Abstract.
``On strong solutions, semimartingale Birgit operators, and filtrations
in Girsanov's theorem'' (with Jan Kallsen). Preprint 1994.
[Authors: K,T].
``Option pricing in ARCH-type models: with detailed proofs''
(with Jan Kallsen). Technical Report Nr. 10, March 1995. Freiburger
Zentrum fuer Dateanlyse und Modellbildung,
Albert-Ludwigs-Universitaet, Freiburg im Breslau, Germany.
[Authors: K,T].
- ``How do conditional moments of stable vectors depend on
the spectral measure?'' (with Renata Cioczek-Georges).
Stochastic Processes and their Application, 54 (1994),
95-111.
[Authors: C, T].
[MR Ref: 95j:60028], [AMS Subj. Class.: 60E05 (60E07)].
Abstract.
- ``Necessary conditions for the existence of conditional moments of
stable random variables''
(with Renata Cioczek-Georges).
Stochastic Processes and their Applications, 56 (1995),
233-246.
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Abstract.
- ``Form of the conditional variance for stable random variables''
(with Renata Cioczek-Georges).
Statistica Sinica, 5 (1995), 351-361.
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Abstract.
- ``Long-range dependence in
variable-bit-rate video traffic''
(with Jan Beran, Robert Sherman and Walter Willinger).
IEEE Transactions on Communications, 43 (1995), 1566-1579.
[Authors: B, S, T, W].
- ``Self-similarity in high-speed packet traffic: analysis and modeling
of ethernet traffic measurements'' (with Will E. Leland, Walter Willinger
and Daniel V. Wilson).
Statistical Science, 10 (1995), 67-85.
[Authors: Will, T, L, Wils].
- ``Self-similarity through high variability: statistical analysis of
Ethernet LAN traffic at the source level'' (with Walter Willinger,
Robert Sherman and Daniel V. Wilson).
ACM/SIGCOMM'95. Computer Communication Review, 25
(1995), 100-113.
[Authors: Will, T, S, Wils].
Abstract.
- ``Stable fractal sums of pulses: the cylindrical case''
(with Renata Cioczek-Georges, Benoit
B. Mandelbrot and Gennady Samorodnitsky). Bernoulli,
1 (1995), 201-216.
[Authors: C, M, S, T].
Abstract.
- ``Estimators for long-range dependence: an empirical study''
(with Vadim Teverovsky and Walter Willinger).
Fractals, 3, #4 (1995), 785-798.
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C.J.G. Evertsz, H-O Peitgen and R.F. Voss, editors. 1996,
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ps file --
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Journal de la Société
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142 (2001) 3-40.
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It also
appears in
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York (2002) 1-39.]
`` Bachelier et son époque:
une conversation avec Bernard Bru'' in Louis Bachelier, Aux
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``On the automatic selection of the onset of scaling''
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``Rate optimality of wavelet series approximations of
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- ``An extreme value theory approach to the allocation of multiple assets''
(with Brendan O. Bradley).
International Journal of Theoretical
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4, Nb. 8, (2004) 1031-1068.
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Quantitative Finance.
7, Nb. 6, (2004) 619-636.
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``Small and large scale behavior of the Poissonized Telecom Process'
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``Stable stationary processes related to cyclic flows''
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``
Framework for analyzing spatial contagion between financial markets"
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2, Nb.6, (2004) 8-16.
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``
How to estimate spatial contagion between financial markets"
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"On the wavelet
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- ``Weak convergence to the tangent process of the linear multifractional
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PLISKA - Studia Mathematica Bulgarica
15 (2005) 271-294.
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