\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 24, 2005\\ Sequoia Hall Room 200\\ (Cookies at 3:45 in 1st Floor Lounge) \end{center} \begin{center} \textsl{Gary Lorden}\\ Department of Mathematics\\ Caltech\\ \end{center} \begin{center} \textbf{Some Optimal Fixed-shape Confidence Intervals} \end{center} Abstract. It might seem that nothing new could be said about constructing confidence intervals for the one-dimensional parameter of a common discrete distribution like the binomial, hypergeometric or Poisson. But a lawyer's question-"What's the smallest sample size that will give a margin of error less than 10\% for the percentage defective in this population?" -- led to a method for constructing efficient confidence intervals, one that appears particularly useful in multistage sampling. \end{document}