Results for the Maximum Independent Random Variablewith a View on Total Time on Test Transform Order

In this article, we study the properties of the maximum observation fromthe Weibull distribution, and we examine the conditions for establishing a total time ontest transform order and some other stochastic orders. Also, considering the importanceof the total time on test transform in the analysis of the behavior of the hazard ratefunction of lifetme random variables, we obtained this transform for the this variableunder study and investigated and studied its characteristics. In the final part, we willexplain the topic further by presenting some applications of the mentioned concepts.

Keywords:

Total time on test transform , Weibull distribution , Hazard rate function