Using the TLRT transform to expand the GIW inverse Weibull distribution with a practical application

Abstract

In this article a new survival function is introduced based on using the Transmuted Lower record type to expand the three parameters generalized invers Weibull, this formula adds forth parameter to the baseline distribution makes the base distribution more flexible in covering data. The four parameters have been estimated by MLE method. In addition, we estimate the probability function in order to prove the efficiency of the new distribution using the (MSE) criterion, in beside we calculated the new transmuted survival function values   of real data.