Each random variate in the histogram shown here is the annual maximum of the batting averages recorded in U.S. Major League Baseball, for both leagues, for the years 1876-2012.

The density function shown is the Gumbel distribution which is often used to describe record values (maxima) of samples taken from continuous populations.


Gumbel(A,B) = (1/B) exp ((A − y)/B) exp (−exp ((A − y)/B))


This dataset is one of the examples included in the Regress+ software package.