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- W4285429083 abstract "Suppose $N$ independent Bernoulli trials are observed sequentially at random times of a mixed binomial process. The task is to maximise, by using a nonanticipating stopping strategy, the probability of stopping at the last success. We focus on the version of the problem where the $k^text{th}$ trial is a success with probability $p_k=theta/(theta+k-1)$ and the prior distribution of $N$ is negative binomial with shape parameter $nu$. Exploring properties of the Gaussian hypergeometric function, we find that the myopic stopping strategy is optimal if and only if $nugeqtheta$. We derive formulas to assess the winning probability and discuss limit forms of the problem for large $N$." @default.
- W4285429083 created "2022-07-15" @default.
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- W4285429083 date "2022-07-11" @default.
- W4285429083 modified "2023-09-28" @default.
- W4285429083 title "The Last-Success Stopping Problem with Random Observation Times" @default.
- W4285429083 doi "https://doi.org/10.48550/arxiv.2207.05156" @default.
- W4285429083 hasPublicationYear "2022" @default.
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