Displaying similar documents to “Optimal selection of the maximum of a discountable sequence of independent random variables”

Discrete time optimal dividend problem with constant premium and exponentially distributed claims

Dariusz Socha (2014)

Applicationes Mathematicae

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An optimal dividend problem is studied consisting in maximisation of expected discounted dividend payments until ruin time. A solution of this problem for constant premium d and exponentially distributed claims is presented. It is shown that an optimal policy is a barrier policy. Moreover, an analytic way to solve this problem is sketched.

Macroscopic non-uniqueness and transversal fluctuation in optimal random sequence alignment

Saba Amsalu, Heinrich Matzinger, Serguei Popov (2007)

ESAIM: Probability and Statistics

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We investigate the optimal alignment of two independent random sequences of length . We provide a polynomial lower bound for the probability of the optimal alignment to be macroscopically non-unique. We furthermore establish a connection between the transversal fluctuation and macroscopic non-uniqueness.