  We propose an effective model to describe the statistical properties of
exciton fine structure splitting (FSS) and polarization angle of quantum dot
ensembles (QDEs). We derive the distributions of FSS and polarization angle for
QDEs and show that their statistical features can be fully characterized using
at most three independent measurable parameters. The effective model is
confirmed using atomistic pseudopotential calculations as well as experimental
measurements for several rather different QDEs. The model naturally addresses
three fundamental questions that are frequently encountered in theories and
experiments: (I) Why the probability of finding QDs with vanishing FSS is
generally very small? (II) Why FSS and polarization angle differ dramatically
from QD to QD? and (III) Is there any direct connection between FSS, optical
polarization and the morphology of QDs? The answers to these fundamental
questions yield a completely new physical picture for understanding optical
properties of QDEs.
