The statistical properties of loss-noise model for single-mode laser w
ith multiplicative white noise are studied. By means of expansion in e
igenmodes, we derive the accurate analytic expressions of stationary i
ntensity distribution, stationary moments, transition probability dens
ity, stationary joint probability distribution, transient moments, cor
relation functions correlation times, and power spectrum. Some signifi
cant conclusions are obtained by discussing the transient moments, cor
relation functions and power spectrum under approximative conditions.