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Original Articles

Decomposition of Order Statistics of Semimartingales Using Local Times

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Pages 467-479 | Received 17 Dec 2008, Accepted 23 Sep 2009, Published online: 12 Apr 2010

References

  • Banner , A.D. , and Ghomrasni , R. 2008 . Local times of ranked continuous semimartingales . Stochastic Processes and Applications 118 : 1244 – 1253 .
  • Chitashvili , R.J. , and Mania , M.G. 1990 . Decomposition of the maximum of semimartingales and generalized Itô's formula . New Trends in Probability and Statistics 1 : 301 – 350 .
  • Coquet , F. , and Ouknine , Y. 2000 . Some identities on semimartingales local times . Statistics and Probability Letters 49 : 149 – 153 .
  • Fernholz , R. 2001 . Equity portfolios generated by functions of ranked market weights . Finance Stochastics 5 : 469 – 486 .
  • Fernholz , R. 2002 . Stochastic Portfolio Theory , Springer-Verlag , New York .
  • Nagasawa , M. , and Tanaka , H. 1987 . Diffusion with interactions and collisions between coloured particles and the propagation of chaos . Probability Theory and Related Fields 74 : 161 – 198 .
  • Ouknine , Y. 1988 . Généralisation d'un lemme de S. Nakao et applications . Stochastics 23 : 149 – 157 .
  • Ouknine , Y. 1990 . Temps local du produit et du sup de deux semimartingales . Séminaire de Probabilités XXIV, 1988/89 . Lecture Notes in Mathematics , Vol. 1426 , pp. 477 – 479 .
  • Protter , P.E. 2004 . Stochastic Integration and Differential Equations, , 2nd ed. , Applications of Mathematics 21 , Springer , Berlin , New York .
  • Revuz , D. , and Yor , M. 2004. Continuous Martingales and Brownian Motion. , 3rd ed. Springer-Verlag , Berlin.
  • Yan , J.A. 1985 . A formula for local times of semimartingales . Northeast. Math. J. 1 : 138 – 140 .
  • Yor , M. 1978 . Sur la continuité des temps locaux associés à certaines semimartingales . Temps Locaux Astérisque 52–53 : 23 – 36 .
  • Zheng , W.A. 1982 . Semimartingales in predictable random open sets . Séminaire de Probabilités XVI . Lecture Notes in Mathematics , Vol. 920 , pp. 370 – 379 .

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