  High transmission plateaus exist widely in the logarithmic transmission
spectra of localized systems. Their physical origins are short chains of
coupled-localized-states embedded inside the localized system, which are dubbed
as "short necklace states". In this work, we define the essential quantities
and then, based on these quantities, we investigate the short necklace states'
properties statistically and quantitatively. Two different approaches are
utilized and the results from them agree with each other very well. In the
first approach, the typical plateau-width and the typical order of short
necklace states are obtained from the correlation function of logarithmic
transmission. In the second approach, we investigate statistical distributions
of the peak/plateau-width measured in logarithmic transmission spectra. A novel
distribution is found, which can be exactly fitted by the summation of two
Gaussian distributions. These two distributions are the results of sharp peaks
of localized states and the high plateaus of short necklace states. The center
of the second distribution also tells us the typical plateau-width of short
necklace states. With increasing the system length, the scaling property of
typical plateau-width is very special since it almost does not decrease. The
methods and the quantities defined in this work can be widely used on Anderson
localization studies.
