  We numerically study the distribution function of the conductance
(transmission) in the one-dimensional tight-binding Anderson and
periodic-on-average superlattice models in the region of fluctuation states
where single parameter scaling is not valid. We show that the scaling
properties of the distribution function depend upon the relation between the
system's length $L$ and the length $l_s$ determined by the integral density of
states. For long enough systems, $L \gg l_s$, the distribution can still be
described within a new scaling approach based upon the ratio of the
localization length $l_{loc}$ and $l_s$. In an intermediate interval of the
system's length $L$, $l_{loc}\ll L\ll l_s$, the variance of the Lyapunov
exponent does not follow the predictions of the central limit theorem and this
scaling becomes invalid.
