Improving approximation of the beta-distribution for small parameter values suggested in [
I. N.
Volodin, Theory Probab. Appl., 15 (1970), pp. 546-549] is developed. An asymptotic
Estimation of mean value of a normal distribution with constraints on the relative error and d-risk smallness. We continue our investigation presented in article [
Volodin et al. Estimation of the mean value