Authors: S.P. Kane
The present paper deals with the modification in the 'Original' Secretary problem. Here the secretary problem is viewed from a different angle where there are two random variables simultaneously considered, one that is X, representing the real rank of the selected unit and the other that is Y, representing the position at which we stop. The major modification here is to consider the measurable character for developing stopping criterion, rather than its real rank. This leads to an altogether a new version of the problem with very interesting results regarding its joint and eventually marginal probability distributions of X and Y.
Keywords: Secretary Problem, measurable character, Real rank, Stopping criterion