  At the Fermilab Tevatron proton-antiproton ($p\bar{p}$) collider, high-mass
electron-neutrino ($e\nu$) pairs are produced predominantly in the process $p
\bar{p} \rightarrow W(\rightarrow e\nu) + X$. The asymmetry of the electron and
positron yield as a function of their pseudorapidity constrain the slope of the
ratio of the $u$- to $d$-quark parton distributions versus the fraction of the
proton momentum carried by the quarks. This paper reports on the measurement of
the electron-charge asymmetry using the full data set recorded by the Collider
Detector at Fermilab in 2001--2011 and corresponding to 9.1~fb$^{-1}$ of
integrated luminosity. The measurement significantly improves the precision of
the Tevatron constraints on the parton-distribution functions of the proton.
Numerical tables of the measurement are provided.
