Remarks on Koba-nielsen-olesen Scaling

It is shown that there is a second properly normalized KNO scaling function, nPn(n/n̄) = φ(z), which has certain advantages in the analysis of KNO scaling. First, the nPn are not influenced by the statistical and systematic uncertainties of n̄ hence φ(z) provides more selective power than the original KNO scaling function n̄Pn(n/n̄) = ψ(z). Second, the new scaling function generates scale parameter σ = 1 since it depends only on the combination of z and the scale parameter of ψ(z). An analysis of φ(z) is given using ee annihilation data for charged particle multiplicity distributions.