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Lois de martingale, densités et décomposition de Föllmer Schweizer

Jean-Pascal Ansel; Christophe Stricker

Annales de l'I.H.P. Probabilités et statistiques (1992)

  • Volume: 28, Issue: 3, page 375-392
  • ISSN: 0246-0203

How to cite

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Ansel, Jean-Pascal, and Stricker, Christophe. "Lois de martingale, densités et décomposition de Föllmer Schweizer." Annales de l'I.H.P. Probabilités et statistiques 28.3 (1992): 375-392. <http://eudml.org/doc/77438>.

@article{Ansel1992,
author = {Ansel, Jean-Pascal, Stricker, Christophe},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {arbitrage; stochastic exponential; minimal martingale law; local martingale; previsible representation property},
language = {fre},
number = {3},
pages = {375-392},
publisher = {Gauthier-Villars},
title = {Lois de martingale, densités et décomposition de Föllmer Schweizer},
url = {http://eudml.org/doc/77438},
volume = {28},
year = {1992},
}

TY - JOUR
AU - Ansel, Jean-Pascal
AU - Stricker, Christophe
TI - Lois de martingale, densités et décomposition de Föllmer Schweizer
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1992
PB - Gauthier-Villars
VL - 28
IS - 3
SP - 375
EP - 392
LA - fre
KW - arbitrage; stochastic exponential; minimal martingale law; local martingale; previsible representation property
UR - http://eudml.org/doc/77438
ER -

References

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  1. [1] C.S. Chou, P.A. Meyer et C. Stricker, Sur les intégrales stochastiques de processus prévisibles non bornés, Séminaire de Probabilités XIV, Lect. Notes Math., n° 784, Springer, 1980, p.128-139. Zbl0432.60070MR580117
  2. [2] R.C. Dalang, A. Morton et W. Willinger, Equivalent Martingale Measures and No-Arbitrage in Stochastic Securities Market Models, Stochastics and Stochastics Reports, vol. 29, n° 2, 1990, p.185-202. Zbl0694.90037MR1041035
  3. [3] C. Dellacherie et P.A. Meyer, Probabilités et potentiel, Chapitres V à VIII, Théorie des Martingales, Hermann, 1980. Zbl0464.60001MR566768
  4. [4] H. Föllmer et M. Schweizer, Hedging of Contingent Claims under Incomplete Information, Applied Stochastic Analysis, Stochastics Monographs, vol. 5, Gordon and Breach, 1991, p. 389-414. Zbl0738.90007MR1108430
  5. [5] D. Heath, R. Jarrow et A. Morton, Bond Pricing and the Term Structure of Interest Rates: a New Methodology for Contingent Claims Valuation, Econometrica (to appear). Zbl0751.90009
  6. [6] I. Karatzas et S. Shreve, Brownian Motion and Stochastic Calculus, Springer, 1988. Zbl0638.60065MR917065
  7. [7] J. Jacod, Calcul Stochastique et Problème de Martingales, Lect. Notes Math., n° 714. Springer, 1979. Zbl0414.60053MR542115
  8. [8] C. Stricker, Arbitrage et lois de martingale, Ann. Inst. Henri Poincaré, sér. B, vol. 26, n° 3, 1990, p. 451-460. Zbl0704.60045MR1066088
  9. [9] C. Stricker, Absolute Continuity of a Semimartingale with respect to a Continuous Increasing and Adapted Process, Lect. Notes Control and Information Sciences, 96, Springer, 1987, p. 373-380. Zbl0655.60038
  10. [10] C. Yoeurp, Décomposition des martingales locales et formules exponentielles, Séminaire de Probabilités X, Lect. Notes Math., n° 511, Springer, 1976, p. 432-480. Zbl0346.60033MR451395
  11. [11] C. Yoeurp, Contribution au Calcul Stochastique, Thèse de Doctorat d'État, Paris-VI, 1982. 

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