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  • Search: subject:"Doob's maximal inequality"
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Brownian motion Optimal stopping (time) The principle of smooth fit Submartingale The maximality principle Stephan's problem with moving boundary Ito-Tanaka's formula Burkholder-Gundy's inequality 1 Doob's maximal inequality 1
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Graversen, S. E. 1 Peskir, G. 1
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Stochastic Processes and their Applications 1
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On Doob's maximal inequality for Brownian motion
Graversen, S. E.; Peskir, G. - In: Stochastic Processes and their Applications 69 (1997) 1, pp. 111-125
If B = (Bt)t [greater-or-equal, slanted] 0 is a standard Brownian motion started at x under Px for x [greater-or-equal, slanted] 0, and [tau] is any stopping time for B with Ex([tau]) < [infinity], then for each p > 1 the following inequality is shown to be sharp: The sharpness is realized through the stopping times of the...</[infinity],>
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