Probabilities in the secretary problem coincide exactly between certain Luce distributions and corresponding Mallows distributions for every n and strategy, with asymptotic optimal strategies and limits derived for these and other weight classes.
and Tang, W.,Regenerative Random Permutations of Integers, Ann
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A secretary for Messrs. Luce and Mallows
Probabilities in the secretary problem coincide exactly between certain Luce distributions and corresponding Mallows distributions for every n and strategy, with asymptotic optimal strategies and limits derived for these and other weight classes.