Moyennes mobiles et semimartingales

Thierry Jeulin; Marc Yor

Séminaire de probabilités de Strasbourg (1993)

  • Volume: 27, page 53-77

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Jeulin, Thierry, and Yor, Marc. "Moyennes mobiles et semimartingales." Séminaire de probabilités de Strasbourg 27 (1993): 53-77. <http://eudml.org/doc/113860>.

@article{Jeulin1993,
author = {Jeulin, Thierry, Yor, Marc},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {semimartingale; Gaussian stationary process; Hardy space},
language = {eng},
pages = {53-77},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Moyennes mobiles et semimartingales},
url = {http://eudml.org/doc/113860},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Jeulin, Thierry
AU - Yor, Marc
TI - Moyennes mobiles et semimartingales
JO - Séminaire de probabilités de Strasbourg
PY - 1993
PB - Springer - Lecture Notes in Mathematics
VL - 27
SP - 53
EP - 77
LA - eng
KW - semimartingale; Gaussian stationary process; Hardy space
UR - http://eudml.org/doc/113860
ER -

References

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  1. [B] Beurling A.: On two problems concerning linear transformations in Hilbert space, Acta Math.81, 239-255, 1949. Zbl0033.37701MR27954
  2. [CJ] Chaleyat-Maurel M., Jeulin T. : Grossissement gaussien de la filtration brownienne. L.N.Math.1118, 59-109, Springer,1985. Zbl0575.60046
  3. [DMK] Dym H., McKean H.P. : Gaussian processes, function theory and the inverse spectral problem. Academic Press, 1976. Zbl0327.60029
  4. [E] Emery M. : Covariance des semimartingales gaussiennes. C.R.A.S.Paris, t.295, Série I, 703-705, 1982. Zbl0503.60057MR688911
  5. [F1] Fernique X. : Des résultats nouveaux sur les processus gaussiens. C.R.A.S.Paris, t.278, Série A, 363-365, 1974. Zbl0274.60029MR413237
  6. [F2] Fernique X. : Régularité des fonctions aléatoires gaussiennes stationnaires. Probab. Th.Rel.Fields88, 521-536, 1991. Zbl0722.60032MR1105716
  7. [HL] Hardy G.H., Littlewood J.E. : Some properties of fractional integrals,I. Math.Zeitschrift27, 565-606, 1928. Zbl0003.15601JFM54.0275.05
  8. [JMa] Jain N.C., Marcus M.B. : Sufficient conditions for the continuity of stationary gaussian processes and applications to random series of functions. Ann.Inst.Fourier24, 117-141, 1974. Zbl0283.60041MR413239
  9. [JMo] Jain N.C., Monrad D. : Gaussian quasimartingales. Z.f.W.59, 139-159, 1982. Zbl0458.60042MR650607
  10. [JY] Jeulin T., Yor M. : Filtration des ponts browniens et équations différentielles stochastiques linéaires. Séminaire de Probabilités XXIV, L.N.in Maths1427, Springer, 1990. Zbl0699.60075MR1071543
  11. [Ka] Karhunen K. : Über die Struktur stationärer zufälliger Funktionen. Arkiv för Mat.1, 141-160, 1950. Zbl0038.08603MR34557
  12. [Kn] Knight F.B. : Foundations of the prediction process. Oxford Studies in Probability1, Clarendon Press, Oxford1992. Zbl0762.60027MR1168699
  13. [M] Marcus M.B. : Continuity of Gaussian processes and random Fourier series. Annals of Probability1, 968-981, 1973. Zbl0277.60022MR356202
  14. [PW] Paley R., Wiener N. : Fourier transforms in the complex domain. American Mathematical Society, Colloquium Publications, Vol.19, 1934 Zbl0011.01601MR1451142JFM60.0345.02
  15. [R] Rudin W. : Real and complex analysis. Mc Graw Hill, 1970. Zbl0954.26001
  16. [Sc] Schreiber M. : Fermeture en probabilité de certains sous-espaces d'un espace L2. Application aux chaos de Wiener. Z.f.W.14, 36-48, 1969. Zbl0186.49803MR413290
  17. [So] Song S. : Quelques conditions suffisantes pour qu'une semimartingale soit une quasimartingale. Stochastics16, 97-109, 1986. Zbl0586.60040MR834562
  18. [S1] Stricker C. : Une caractérisation des quasimartingales. Séminaire de Probabilités IX, L.N.Math.465,420-424, Springer, 1975. Zbl0321.60042MR423516
  19. [S2] Stricker C. : Semimartingales gaussiennes. Application au problème de l'innovation. Z.f.W.64, 303-312, 1983. Zbl0525.60057MR716488
  20. [W] Wiener N. : The Fourier integral & certain of its applications. Cambridge University Press, 1933. Zbl0006.05401JFM59.0416.01

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