Many methods of low dose risk assessment based on the popularly used dose response modelsrnhave been suggested. The estimates of risk by the different methods were observed to differrnlargely. In this paper, two alternative approaches of low dose risk assessment are suggested.rnBoth methods are based on the logistic dose response model. The underlying principle inrnboth approaches is to make the lower tail of the logistic curve heavier. The performances ofrnthe methods are compared against standard logistic estimates and linear extrapolationrnestimates based on logistic model by the Monte Carlo method.rnThe results indicate that the performance of one of the new approaches is superior when therntrue dose response model is Multihit or Logistic. Linear extrapolation is the best methodrnwhen the underlying model is Onehit, Multistage or Weibull. The performances of thernestimators are obselVed to depend on the choice of number of animals per dose group and riskrnlevel to be estimated