Murdoch University Research Repository

Welcome to the Murdoch University Research Repository

The Murdoch University Research Repository is an open access digital collection of research
created by Murdoch University staff, researchers and postgraduate students.

Learn more

Selecting satisfactory secretaries

Yeo, A.J. and Yeo, G.F. (2008) Selecting satisfactory secretaries. Australian Journal of Statistics, 36 (2). pp. 185-198.

Link to Published Version:
*Subscription may be required


The probability of selecting the ath best out of n applicants in the secretary problem is evaluated by probabilistic arguments for monotone order k stopping rules. This leads to an explicit optimizing function for selecting (with payoffs) one of the k best applicants. This optimization problem can be solved directly both for a finite and for an unlimited number of applicants, yielding a variety of numerical results. Extensions are given for two choices with success if two applicants are selected from among the k best.

Item Type: Journal Article
Publisher: Blackwell Publishing Inc
Item Control Page Item Control Page