An analysis is performed of the general relationships of the statistical th
eory of laser-induced damage in transparent solids caused by absorbing incl
usions. It is shown that the structure of the statistical theory equations
determines the interrelation of various dependences of the damage threshold
s on physical parameters. This results in the equivalence of the spot-size
dependence of the damage threshold and the reliability of the transparent s
olid, as well as in a similarity of the threshold dependences obtained upon
single-shot and multishot irradiation. The predictions of the theory are i
n good agreement with the experimental data.