Before revision:   Therefore, we think of the associated diffusion approximation as being `` asymptotic for large values of \lambda.'' \la We are the first to use a comparison method to prove convergence of the probability of ruin for the scaled CL process and to derive the rate of convergence.
After revision:  Therefore, we think of the associated diffusion approximation as being `` asymptotic for large values of \la We are the first to use a comparison method to prove convergence of the probability of ruin for the scaled CL process and to derive the rate of convergence.