Regina, 7 - 10 juin 2019
My goal is to show that the normal approximations for estimates of the ratio of proportions and their logarithms are reliable for a construction of confidence intervals. The main criterion of our judgment is the closeness of the confidence coefficient to the nominal confidence level. It is proved theoretically and shown by statistically modeled data that the scheme of inverse binomial sampling with planning of the size in the second sample is preferred.
\item Derivation of estimates of parameters of Binomial distribution by the Method of
\item Derivation of the parameters of asymptotic normality by the delta-method;
\item Comparison of the derived asymptotic with the true probabilistic characteristics of the
estimators by the method of statistical simulations