4 papers · 1 filter
Strategic Interview Positioning under Uncertain Self-Rank
Jose Á. Islas
We study interview positioning in the secretary problem when an applicant is uncertain about their own absolute rank. The employer uses a given rejection threshold, and the applica…
Oscillation criteria for stopping near the top of a random walk
José A. Islas
Consider the problem of maximizing the probability of stopping with one of the two highest values in a Bernoulli random walk with arbitrary parameter and finite time horizon $n…
A sharp bound for winning within a proportion of the maximum of a sequence
José A. Islas
This note considers a variation of the full-information secretary problem where the random variables to be observed are independent and identically distributed. Consider $X_1,\dots…
A sharp lower bound for choosing the maximum of an independent sequence
Pieter C. Allaart, Jose A. Islas
This paper considers a variation of the full-information secretary problem where the random variables to be observed are independent but not necessary identically distributed. The…