  We discuss a few possible strategies for measuring the polarization of the
$\Lambda_{\mathrm{b}}$ baryons produced in $e^+e^-$-annihilation at the
$\mathrm{Z}$ resonance through their inclusive semileptonic decays. After
reviewing the existing methods, a new method is proposed, based on the ratio of
the averages of the squared electron and neutrino energy, including both
perturbative and nonperturbative corrections. This variable minimizes the
statistical error on the $\Lambda_{\mathrm{b}}$ polarization, while keeping the
systematic theoretical errors at the level of 1-2%. A number of other
polarization-sensitive variables are also discussed, such as averages of ratios
of the electron and neutrino energy and the distribution in the difference of
the electron and neutrino rapidities.
