This paper presents an equivalent direct detection receiver model by statistical method which simplifies the random impulse responses of electrons counting of returned signal, background radiation and dark current as a Gaussian random process with high enough gain. An investigation based on Gaussian distribution of system output in ICCD scannerless range-gated Lidar system is conducted with the calculations of error probability, absolute error and relative error. As the unique manipulated variable, optimized system gains are calculated separately based on the Gaussian model of the random process to achieve the lowest error probability, the lowest absolute error and relative error. The simulations show that the values of optimized gains tend to increase along with the target distance, although the increasing speeds are different. To meet multiple requests, an evaluation model based on cost function is constructed with different weights. The simulation shows that the evaluation model is capable of setting optimized gains for different circumstances and the settings of the weights are vital to the performance of Lidar system.