  We derive a probability distribution, confidence intervals and statistics of
the quality (Q) factor of an arbitrarily shaped mode-stirred reverberation
chamber, based on ensemble distributions of the idealized random cavity field
with assumed perfect stir efficiency. It is shown that Q exhibits a
Fisher-Snedecor F-distribution whose degrees of freedom are governed by the
number of simultaneously excited cavity modes per stir state. The most probable
value of Q is between a fraction 2/9 and 1 of its mean value, and between a
fraction 4/9 and 1 of its asymptotic (composite Q) value. The arithmetic mean
value is found to always exceed the values of all other theoretical metrics for
centrality of Q. For a rectangular cavity, we retrieve the known asymptotic Q
in the limit of highly overmoded regime.
