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- W2963558223 abstract "In this paper we resolve an open problem proposed by Lai, Vincent Poor, Xin, and Georgiadis [Quickest search over multiple sequences. IEEE Trans. Inf. Theory 57(8) (2011), pp. 5375–5386]. Consider a sequence of Brownian motions with unknown drift equal to one or zero, which may be observed one at a time. We give a procedure for finding, as quickly as possible, a process which is a Brownian motion with non-zero drift. This original quickest search problem, in which the filtration itself is dependent on the observation strategy, is reduced to a single filtration impulse control and optimal stopping problem, which is in turn reduced to an optimal stopping problem for a reflected diffusion, which can be explicitly solved." @default.
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- W2963558223 date "2013-09-02" @default.
- W2963558223 modified "2023-10-14" @default.
- W2963558223 title "Quickest search over Brownian channels" @default.
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- W2963558223 doi "https://doi.org/10.1080/17442508.2013.819874" @default.
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