Quickest detection of a hidden target and extremal surfaces
DOI10.1214/13-AAP979zbMath1338.60115arXiv1409.1745MaRDI QIDQ473157
Publication date: 21 November 2014
Published in: The Annals of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.1745
optimal stoppingprinciple of smooth fitdiffusion processminimum processnonlinear differential equationmaximum processquickest detectionexcursionhidden targetmaximality principleextremal surfacerange process
Extreme value theory; extremal stochastic processes (60G70) Nonlinear ordinary differential equations and systems (34A34) Signal detection and filtering (aspects of stochastic processes) (60G35) Stopping times; optimal stopping problems; gambling theory (60G40) Diffusion processes (60J60) Free boundary problems for PDEs (35R35)
Related Items (15)
Cites Work
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- Optimal detection of a hidden target: the median rule
- Predicting the ultimate supremum of a stable Lévy process with no negative jumps
- The trap of complacency in predicting the maximum
- Pathwise inequalities for local time: Applications to Skorokhod embeddings and optimal stopping
- Examples of optimal prediction in the infinite horizon case
- The Skorokhod embedding problem and its offspring
- \(\pi \) options
- On the expected diameter of an \(L_{2}\)-bounded martingale
- Optimal stopping and best constants for Doob-like inequalities. I: The case \(p=1\)
- Optimal stopping of the maximum process: The maximality principle
- Three-dimensional Brownian motion and the golden ratio rule
- Maximum process problems in optimal control theory
- Selling a stock at the ultimate maximum
- Discounted optimal stopping for maxima in diffusion models with finite horizon
- Discounted optimal stopping problems for the maximum process
- Stopping Brownian Motion Without Anticipation as Close as Possible to Its Ultimate Maximum
- The Bellman equation for minimizing the maximum cost
- OPTIMAL SELLING RULES FOR MONETARY INVARIANT CRITERIA: TRACKING THE MAXIMUM OF A PORTFOLIO WITH NEGATIVE DRIFT
- Optimal Control of the Running Max
- Optimal stopping of the maximum process: a converse to the results of Peskir
- Predicting the last zero of Brownian motion with drift
- Predicting the Time of the Ultimate Maximum for Brownian Motion with Drift
- On Conditional-Extremal Problems of the Quickest Detection of Nonpredictable Times of the Observable Brownian Motion
- Optimal Control on the $L^\infty $ Norm of a Diffusion Process
- Optimal prediction of the ultimate maximum of Brownian motion
- Detecting the Maximum of a Scalar Diffusion with Negative Drift
- A maximal inequality for skew Brownian motion
- On a stochastic version of the trading rule “Buy and Hold”
- A Change-of-Variable Formula with Local Time on Surfaces
- The Maximality Principle Revisited: On Certain Optimal Stopping Problems
- Discounted Optimal Stopping for Maxima of Some Jump-Diffusion Processes
- On Optimum Methods in Quickest Detection Problems
- On a Property of the Moment at Which Brownian Motion Attains Its Maximum and Some Optimal Stopping Problems
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