Acta mathematica scientia, Series B >
AN ENLARGEMENT OF FILTRATION FOR BROWNIAN MOTION
Received date: 2010-07-05
Online published: 2011-09-20
Let Bt be an Ft Brownian motion and Gt be an enlargement of filtration of Ft from some Gaussian random variables. We obtain equations for ht such that Bt −ht is a Gt-Brownian motion.
Key words: Brownian motion; enlargement of filtration; information flow
HU Yao-Zhong . AN ENLARGEMENT OF FILTRATION FOR BROWNIAN MOTION[J]. Acta mathematica scientia, Series B, 2011 , 31(5) : 1671 -1678 . DOI: 10.1016/S0252-9602(11)60352-4
[1] Aase K, Bjuland T, Øksendal B. An anticipative linear filtering equation. To appear in Systems & Control Letters
[2] Biagani F, Øksendal B. A general stochastic calculus approach to insider trading. Appl Math Optim, 2005, 52(2): 167–181
[3] Chaleyat M, Jeulin Th. Grossissement gaussien de la filtration brownienne//Lecture Notes inMathematics, 1118. Berlin: Springer-Verlag, 1985: 59–109
[4] Hu Y, Øksendal B. Optimal smooth portfolio selection for an insider. J Appl Probab, 2007, 44(3): 742–752
[5] Jeulin Th, Yor M. Grossissement d’une filtration et semi-martingales: formules explicites. S´eminaire de Probabilit´es, XII (Univ Strasbourg, Strasbourg, 1976/1977), Lecture Notes in Math, 649. Berlin: Springer, 1978: 78–97
[6] Jeulin Th, Yor M. Grossissements de filtrations: exemples et applications//Lecture Notes in Mathematics, 1118. Berlin: Springer-Verlag, 1985
[7] Pikovsky I, Karatzas I. Anticipative portfolio optimization. Adv Appl Probab, 1996, 28(4): 1095–1122
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