Stein's Paradox and NFL Rushers
Abstract
Future performance is generally estimated by past performance.
Stein's paradox defines circumstances in which there are
estimators better than the arithmetic average.
Stein's paradox has been applied to baseball players'
predicted batting averages.
The goal of this paper is to determine whether or not
Stein's paradox is also applicable to NFL running backs
and their average yards per carry.
Table of Contents
Complete List of References
- [AM1]
Asgharian, M.
Stein's Paradox and Stepwise Bayes Rules.
- [EB1]
Efron, Bradley.
Stein's Paradox in Statistics.
Scientific American, Page 119127, May 1997.
- [EB2]
Efron, Bradley.
Stein's Estimation Rule and Its Competitors An Empirical Bayes Approach.
Journal of the American Statistical Association, Vol. 68, Page 117130, March 1973.
- [EN1]
ESPN.
NFL 2005 Scoreboard.
- [NL1]
National Football League.
NFL Stats.
- [RH1]
Robbins, Herbert.
An Empirical Bayes Approach to Statistics.
Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1, 1956.
- [SS1]
Simon, Steve.
Stein's Paradox.