# The secretary problem with biased arrival order via a Mallows distribution

@article{Pinsky2021TheSP,
title={The secretary problem with biased arrival order via a Mallows distribution},
author={Ross G. Pinsky},
year={2021},
volume={140},
pages={102386}
}
• R. Pinsky
• Published 31 October 2021
• Mathematics
• Adv. Appl. Math.
3 Citations

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. For 2 ≤ k ∈ N , consider the following adaptation of the classical secretary problem. There are k items at each of n linearly ordered ranks. The kn items are revealed, one item at a time, in a

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• Mathematics
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• 2022
The full-information best choice problem asks one to find a strategy maximising the probability of stopping at the minimum (or maximum) of a sequence $$X_1,\cdots ,X_n$$ X 1 , ⋯ , X n

### The secretary problem with non-uniform arrivals via a left-to-right-minimum exponentially tilted distribution

. We solve the secretary problem in the case that the ranked items arrive in a statistically biased order rather than in uniformly random order. The bias is given by the left-to-right-minimum

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