Approximation of predictable characteristics of processes with filtrations

Leszek Slominski

Séminaire de probabilités de Strasbourg (1987)

  • Volume: 21, page 447-478

How to cite

top

Slominski, Leszek. "Approximation of predictable characteristics of processes with filtrations." Séminaire de probabilités de Strasbourg 21 (1987): 447-478. <http://eudml.org/doc/113609>.

@article{Slominski1987,
author = {Slominski, Leszek},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {functional limit theorems; T-tangent semimartingale; predictable process; predictable characteristics},
language = {fre},
pages = {447-478},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Approximation of predictable characteristics of processes with filtrations},
url = {http://eudml.org/doc/113609},
volume = {21},
year = {1987},
}

TY - JOUR
AU - Slominski, Leszek
TI - Approximation of predictable characteristics of processes with filtrations
JO - Séminaire de probabilités de Strasbourg
PY - 1987
PB - Springer - Lecture Notes in Mathematics
VL - 21
SP - 447
EP - 478
LA - fre
KW - functional limit theorems; T-tangent semimartingale; predictable process; predictable characteristics
UR - http://eudml.org/doc/113609
ER -

References

top
  1. 1. Aldous, D.J.: A concept of weak convergence for stochastic processes viewed in the Strasbourg manner. Preprint, Statist.Laboratory Univ.Cambridge1979 
  2. 2. Billingsley, P.: Weak Convergence of Probability Measures. New York : Wiley1968 Zbl0172.21201MR233396
  3. 3. Dellacherie, C., Meyer, P.A. : Probabilities and Potential. North.-Holland1978 Zbl0494.60001MR521810
  4. 4. Dellacherie, C., Doleans-Dade, C. : Un contre-example au probleme des Laplaciens approches. Lecture Notes in Math.191 , 128-140 , Springer-Verlag1970 
  5. 5. Grigelionis, B. : On the martingale characterisation of stochastic processes with independent increments. Lietuvos Mat. Rinkynys XVII, 1, 75-86, 1977 Zbl0368.60082MR451416
  6. 6. Grigelionis, B., Mikulevicius, R. : On weak convergence of semimartingales. Lietuvos Mat. Rinkynys XXI, 3, 9-24, 1981 Zbl0498.60005MR637842
  7. 7. Jacod, J. : Calcul stochastique et problemes de martingales. Lecture Notes in Math.714 , 1979 Zbl0414.60053MR542115
  8. 8. Jacod, J. : Processus a accroissements independants : une condition necessaire et suffisant de convergence. Z.Wahr.Verw. Gebiete63, 109-136, 1983 Zbl0526.60065MR699790
  9. 9. Jacod, J. : Une generalization des semimartingales : les processus admettant un processus a accroissements independants tangent . Lecture Notes in Math.1059 , 91-118, 1984 Zbl0539.60033MR770952
  10. 10. Jacod, J., Kłopotowski, A., Memin, J. : Theoreme de la limite centrale et convergence fonctionnelle vers un processus a accroissements independants, la methode des martingales. Ann. IHP B XVIII , 1-45, 1982 Zbl0493.60033MR646839
  11. 11. Jakubowski, A., Słomiński, L. : Extended convergence to continuous in probability processes with independent increments. Probab. Th. Rel. Fields72, 55-82, 1986 Zbl0596.60038MR835159
  12. 12. Kubilius, K. : On necessary and sufficient conditions for the convergence to quasicontinuous semimartingale. Preprint , 1985 MR903048
  13. 13. Lenglart, E. : Relation de domination entre deux processes. Ann. IHP B XIII , 171-179, 1977 Zbl0373.60054MR471069
  14. 14. Lindvall, T. : Weak convergence of probability measures and random functions in the function space D[0,∞). J.Appl. Probab.10, 109-121, 1973 Zbl0258.60008MR362429
  15. 15. Meyer, P.: Integrales Stochastiques. Lecture Notes in Math.39 , 72-94, 1967 Zbl0157.25001
  16. 16. Rebolledo. R. : Central limit theorems for local martingales. Z.Wahr.Verw. Gebiete51, 262-286, 1982 Zbl0432.60027MR566321
  17. 17. Słomiński, L. : Necessary and sufficient conditions for extended convergence of semimartingales. Probab. and Math. Statistics7, Fasc.1, 77-93, 1986 Zbl0622.60038MR863248

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.