The effect of the pump-noise on the statistical properties of the outp
ut photon-number is discussed. The master equation for the radiation f
ield valid for any pump fluctuation with steady atomic injection is pr
esented. Far above threshold, the characteristic function for the phot
on-number distribution is derived without truncating the master equati
on, the mean value and fluctuation of the output photon-number are als
o calculated. Thereby the condition of generating sub-Poissonian light
is derived and the effect of the pump-noise on the higher-order momen
t of the output photon-number distribution is analyzed.