The trap of complacency in predicting the maximum
From MaRDI portal
Publication:879259
DOI10.1214/009117906000000638zbMath1120.60044arXivmath/0703805OpenAlexW2117612480MaRDI QIDQ879259
Publication date: 8 May 2007
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0703805
optimal stoppingBrownian motionnonlinear Volterra integral equationoptimal predictionlocal time-space calculus
Brownian motion (60J65) Stopping times; optimal stopping problems; gambling theory (60G40) Diffusion processes (60J60) Free boundary problems for PDEs (35R35) Systems of nonlinear integral equations (45G15)
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Cites Work
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- The pricing of the American option
- An extension of P. Lévy's distributional properties to the case of a Brownian motion with drift
- Optimal stopping in the stock market
- The Russian option: finite horizon
- A change-of-variable formula with local time on curves
- Stopping Brownian Motion Without Anticipation as Close as Possible to Its Ultimate Maximum
- Free boundary problem for the heat equation with applications to problems of change of phase. I. General method of solution
- Optimal Stopping and the American Put
- Optimal prediction of the ultimate maximum of Brownian motion
- ON THE AMERICAN OPTION PROBLEM
- Heuristic Approach to the Kolmogorov-Smirnov Theorems
- On Certain Confidence Contours for Distribution Functions