\documentclass[11pt]{article} \setlength{\oddsidemargin}{0.0truein} \setlength{\evensidemargin}{0.0truein} \setlength{\textwidth}{6.5truein} \setlength{\topmargin}{0.0truein} \setlength{\textheight}{9.0truein} \setlength{\headsep}{0.0truein} \setlength{\headheight}{0.0truein} \setlength{\topskip}{10.0pt} \usepackage{url} \begin{document} \begin{center} \textbf{\textsc{STANFORD UNIVERSITY}}\\[5pt] \textbf{\textsc{DEPARTMENT OF STATISTICS}}\\[5pt] \Large{\textbf\textsc{{DEPARTMENTAL SEMINAR}}} \end{center} \begin{center} 4:15 p.m., Tuesday, May 10, 2005\\ Sequoia Hall Room 200\\ (Cookies at 3:45 in 1st Floor Lounge) \end{center} \begin{center} \textsl{Moshe Pollak}\\ Department of Statistics\\ The Hebrew University of Jerusalem\\ Israil \end{center} \begin{center} \textbf{Sequential Selection Based on Ranks} \end{center} Often, when sitting in a hiring committee, a question asked is: "Does the candidate improve the quality (average/median/etc.) of the department?" In general, the problem we consider in this talk is sequential selection of candidates who show up in a random fashion, where a decision must be made whether or not to hire a given candidate before other candidates are interviewed, and once a decision is made it cannot be revisited. The procedures we consider are based on ranks: after being interviewed, a candidate is ranked with respect to her/his predecessors. We consider selection rules that improve the upper p-percent of the retained group (hence "PRANKS"). We describe the evolution of the quality of the series (hence "SERIESLY") of hired candidates and how quickly the retained group grows. \end{document}