\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} \setlength{\parskip}{5mm} \usepackage{url} \usepackage{amsmath} \usepackage{amssymb} \pagestyle{empty} \begin{document} \begin{center} \textbf{\Large{\textsc{STANFORD UNIVERSITY}}}\\[5pt] \textbf{\Large{\textsc{DEPARTMENT OF STATISTICS}}}\\[5pt] \Large{\textsc{DEPARTMENTAL SEMINAR}} \end{center} % In the following statements, replace "Time of talk", % "Weekday", and "Date of talk". An example is provided. % If you are not sure about this, just skip this part. \begin{center} 4:15 p.m., Tuesday, April 3, 2007\\ %% Example: 4:15 p.m., Tuesday, February 13, 2007\\ Sequoia Hall Room 200\\ (Cookies at 3:45 in 1st Floor Lounge) \end{center} % In the following statements, replace "Name of the speaker" with your % name, "Department Affiliation" with your department affiliation, and %"University Affiliation" with your university affiliation. \begin{center} \textsl{Mendel Fygenson} \\ Department of Information and Operations Management\\ Marshall School of Business\\ University of Southern California \end{center} % In the following statements, replace "Title of the talk" % with your title of the talk. \begin{center} \subsection*{Pessimistic Modeling and Inference in the Risk Evaluation of Carcinogens} \end{center} % In the following statements, replace "Abstract of the talk" % with your abstract. \noindent To set standards for exposure to a carcinogen, regulatory agencies employ the benchmark dose (BMD) method to determine the Òvirtually safe doseÓ (VSD). They claim that the BMD method is inherently conservative. In this talk I address the question of just how conservative it is. The question is particularly crucial in the risk evaluation of carcinogens that have direct or indirect benefits. In such cases, there are real costs associated with VSD that are excessively protective of the publicÕs health. \noindent I will present insights that come from viewing risk evaluation using the BMD method in the context of modern economic decision theory. In particular, I will introduce two non-parametric families of pessimistic (optimistic) distributions and show how these provide for a characterization of the current BMD method and for a semi-parametric lower bound on the risk associated with exposure to the VSD. I will illustrate these results using data used by the EPA in evaluating the carcinogenicity of chronic exposure to bromate in drinking water. \end{document}