id: 05811067
dt: j
an: 2010f.00909
au: Teves, Christopher J.; Burchenal, Joseph T.; Haluska, Daniel M.; Sommers,
Paul M.
ti: A Poisson model for “hitting for the cycle” in Major League Baseball.
so: J. Recreat. Math. 35(2006), No. 2, 112-116 (2009).
py: 2009
pu: Baywood Publishing Company, Amityville, NY
la: EN
cc: K60 A20 M90
ut: recreational mathematics; mathematical applications; sport; distributions;
probability theory; stochastics
ci:
li:
ab: Summary: In a recent article in this journal, Campbell et al. showed that
the Poisson probability distribution provides an excellent fit to the
data on no-hit games in Major League Baseball, especially during the
period 1920-1959. Hitting for the cycle (that is, when a batter hits a
single, double, triple, and home run in the same game) is another rare
event in Major League Baseball. And, here too, the Poisson probability
distribution given by $p(X=x)=\frac{e^{-μ}μ^x}{x!}$ , $x=0,1,2,\dots$
where x denotes the number of ballplayers who “hit for the cycle”
in a given season provides a remarkably good fit.
rv: