@article{AIHPB_2007__43_6_655_0, author = {Salminen, Paavo and Vallois, Pierre}, title = {On maximum increase and decrease of brownian motion}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {655--676}, publisher = {Elsevier}, volume = {43}, number = {6}, year = {2007}, doi = {10.1016/j.anihpb.2006.09.007}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2006.09.007/} }
TY - JOUR AU - Salminen, Paavo AU - Vallois, Pierre TI - On maximum increase and decrease of brownian motion JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2007 SP - 655 EP - 676 VL - 43 IS - 6 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.anihpb.2006.09.007/ DO - 10.1016/j.anihpb.2006.09.007 LA - en ID - AIHPB_2007__43_6_655_0 ER -
%0 Journal Article %A Salminen, Paavo %A Vallois, Pierre %T On maximum increase and decrease of brownian motion %J Annales de l'I.H.P. Probabilités et statistiques %D 2007 %P 655-676 %V 43 %N 6 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.anihpb.2006.09.007/ %R 10.1016/j.anihpb.2006.09.007 %G en %F AIHPB_2007__43_6_655_0
Salminen, Paavo; Vallois, Pierre. On maximum increase and decrease of brownian motion. Annales de l'I.H.P. Probabilités et statistiques, Volume 43 (2007) no. 6, pp. 655-676. doi : 10.1016/j.anihpb.2006.09.007. http://archive.numdam.org/articles/10.1016/j.anihpb.2006.09.007/
[1] Mathematical Functions, ninth printing, Dover Publications, New York, 1970.
, ,[2] Lévy Processes, Cambridge University Press, Cambridge, UK, 1996. | MR | Zbl
,[3] Valeurs principales associées aux temps locaux browniens, Bull. Sci. Math., 2e série 111 (1987) 23-101. | MR | Zbl
, ,[4] Handbook of Brownian Motion - Facts and Formulae, second ed., Birkhäuser, Basel, 2002. | Zbl
, ,[5] First passage time distribution of a Wiener process with drift concerning two elastic barriers, J. Appl. Probab. 33 (1996) 164-175. | MR | Zbl
,[6] On probability characteristics of “downfalls” in a standard Brownian motion, Theory Probab. Appl. 44 (1999) 29-38. | Zbl
, , ,[7] Brownian Motion and Stochastic Flow Systems, Wiley, New York, 1985. | MR | Zbl
,[8] On the maximum drawdown of a Brownian motion, J. Appl. Probab. 41 (2004) 147-161. | MR | Zbl
, , , ,[9] Stochastic Integrals, Academic Press, New York, 1969. | MR | Zbl
,[10] Bessel processes and infinitely divisible laws, in: (Ed.), Stochastic Integrals, Springer Lecture Notes in Mathematics, vol. 851, Springer-Verlag, Berlin, 1981, pp. 285-370. | MR | Zbl
, ,[11] A decomposition of Bessel bridges, Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457. | MR | Zbl
, ,[12] Growth of the Brownian forest, Ann. Probab. 33 (6) (2005) 2188-2211. | MR | Zbl
, ,[13] Continuous Martingales and Brownian Motion, third ed., Springer-Verlag, Berlin, 2001. | Zbl
, ,[14] Range of Brownian motion with drift, J. Theor. Probab. 19 (1) (2006) 45-69. | MR | Zbl
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