The Realization of Binary Systems by the Latent Stress Model

We study under what condition the probability of the failure state of each component is realized by the latent stress model which considers the cause of the failure as well as the state of the given system. As a result, when the number of the components is less than or equal to 3, the $MTP_2$ property is a necessary and sufficient condition for the realization of the probability of system state by the latent stress model. Moreover, if the probability of the system state involving 2 or 3 components satisfies the $MTP_2$ property, one could guess that each component is under the same stress.