Abstract
We introduce some properties of the new better than used in convex ordering at age t0 ( NBUC − t0) and new better than used of second order(2) at age t0 ( NBU (2)−t0) classes of life distributions,where the survival probability at age 0 is greater than or equal to the conditional survival probability at specified age t0 > 0. Preservation properties of the two classes under various reliability operations and shock model are arriving according to homogeneous Poisson process are established.
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