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- W3139405890 abstract "In this paper, we consider generalizations of the optimal choice problem. There is a sequence of n identically distributed random variables on the interval [0, 1]. Sequentially obtaining the observed values of these quantities, it is necessary at some point to stop at one of them, taking it as the starting point for counting the upper or lower record values. In the optimal choice problem and its generalizations, it is required to make the correct choice of the starting point of the records in order to maximize the mathematical expectation of the sum of values or the number of upper, lower, or both record values obtained as a result of such a procedure. A review of the results on the uniform distribution of random variables and new results on the exponential distribution of random variables are presented." @default.
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- W3139405890 date "2021-01-01" @default.
- W3139405890 modified "2023-10-16" @default.
- W3139405890 title "On Generalizations of the Optimal Choice Problem" @default.
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- W3139405890 doi "https://doi.org/10.1134/s1063454121010052" @default.
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