From 8360348b640a56c004730036025b0f3f9f9ed9a2 Mon Sep 17 00:00:00 2001
From: Stratis Ioannidis <stratis@stratis-Latitude-E6320.(none)>
Date: Mon, 8 Jul 2013 13:18:24 -0700
Subject: small

---
 intro.tex | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

(limited to 'intro.tex')

diff --git a/intro.tex b/intro.tex
index 07abf4b..e5ca357 100644
--- a/intro.tex
+++ b/intro.tex
@@ -8,7 +8,7 @@ Typically, \E\ has a hypothesis on the relationship between $x_i$'s and $y_i$'s.
 $$y_i =  \T{\beta} x_i+\varepsilon_i,$$ for all $i\in \{1,\ldots,n\},$ where $\varepsilon_i$ are zero-mean, i.i.d.~random variables. Conducting the experiments and obtaining the measurements $y_i$ lets \E\  estimate  $\beta$, \emph{e.g.}, through linear regression. %, \emph{i.e.}, the model underlying the data, and the experimenter's goal is to obtain such an estimate as accurately as possible. %The goal of experimental design amounts to determining which subjects to experiment upon to produce the best possible such estimate.
  
 The above experimental design scenario  has many applications. Regression over  personal data collected through surveys or experimentation is the cornerstone of marketing research, as well as research in a variety of experimental sciences such as medicine and sociology. Crucially, statistical analysis of user data is also a widely spread practice among Internet companies, which routinely use machine learning techniques over vast records of user data to perform inference and classification tasks integral to their daily operations.
-Beyond linear regression, there is a rich literature about estimation procedures, as well as for means of quantifying the quality of the produced estimate~\cite{pukelsheim2006optimal}.  There is also an extensive theory on how to select subjects 
+Beyond linear regression, there is a rich literature about estimation procedures, as well as about means of quantifying the quality of the produced estimate~\cite{pukelsheim2006optimal}.  There is also an extensive theory on how to select subjects 
 if \E\ can conduct only a limited number of experiments, so the estimation process returns a $\beta$
 that approximates the true parameter of the underlying population \cite{ginebra2007measure,le1996comparison,chaloner1995bayesian,boyd2004convex}. 
 
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