We discuss the problem of constraining cosmological parameters with cosmic
microwave background band-power estimates. Because these latter are varianc
es, they do not have gaussian distribution functions and, hence, the standa
rd chi(2)-approach is not strictly applicable. A general purpose approximat
ion to experimental band-power likelihood functions is proposed, which requ
ires only limited experimental details. Comparison with the full likelihood
function calculated for several experiments shows that the approximation w
orks well.