Applications of Cramer - Rao Inequality in Calculations Minimax Estimators Under Censored Data and Koziol - Green Model

In this paper, by using a Cramer - Rao inequality we obtained a lower bound minimax risk based on a random sample of random stopping time, in a condition of the truncated parameter space.
Finally, as applications, we obtained minimax estimators under censored data, Koziol - Green model and exponential distribution family.