MATRİNGALE GENELLEŞTİRMELERİ VE BU GENELLEŞTİRMELER ALTINDA KORUNAN MATRİNGALE ÖZELLİKLERİ ÜZERİNE BİR İNCELEME

Year 1995, Volume: 1 Issue: 2, 133 - 136, 10.01.1995

Ömer Önalan

https://doi.org/10.14783/maruoneri.708071

Abstract

Bu çalışmada, Amartlar, quismartingale, ümitle martingale, zamanla adilleşen oyunlar, ilerleyici martingale, Nihai martingaieler gibi martingale genelleştirmeleri altında yedi önemli martingale özelliğinin korunması araştırılmaktadır.

Keywords

Martingale, Genelleştirme

References

• 1) Alloin, C. (1970) Martingales Progressives, Cahiers Çenter Etudes Rech. Öper., 12,201-210
• 2) Austin, D. G. (1966) A sample fiınction propertv of martingales. Ann. Math. Statist. 37, 1396-1397
• 3) Beîlow, A. and Dvoretzky, A (1980) On Martingales in the lnnit. Ann. Probab. 8,602-606
• 4) Blake. L.H. (1970) A generalizaüon of martingales and two conseguent convereence theorems. Pacific J. math. 35, 279-283
• 5) Blake L.H. (1978) Everv amart is a martingale in the limit J. London Math. Soc. 18,381-384
• 6) Blake, L.H. (1973) Fıırther result conceming games wich become fairer with time. J.London. Math. Soc. 6,311-316
• 7) Burkholder D.L. (1966) Martingale transforms. Ann. Math. Statist 37, 1494-1504
• 8) Chow, Y.S. andTeicher, H.(1988) Probability Theory: Independance, Interchangeabilitv, Martingales. Sec edıtion Springer- Verlag, NewYork
• 9) Edgor G.A. and Sucheston L.(1977) Martingales in the limit and amarts. Proc. Amer. Math. Soc. 67, 315-320
• 10) Edgor G.A and Sucheston L.(1976) Amart: a class of asvmptotic martingales. A Discrete parameter. J. Multivorrate anal. 6,139-221
• 11) Muccı, A.G. (1973) Limits For Mattingale-like seguences. Posıfre. J.Math. 48,197-202
• 12) Orey, S. (1967) F-Processes. Proc. 54h. Berkley symp. Math. statist Probab. 2,304-313
• 13) Tomkins, R.J. (1983) Martingale generalizaüons. Topics in statistic: Proceedings of the 1981 cnadian confenance on Applied Statistics, Marcel Dekker.