Asymptotic distribution of some multivariate “success run” renewal processes,applied to a 2-i.i.d. unit repairable system

If the probability of “failure” in a multivariate renewal process of the “success run” type is very small, then if certain conditions are imposed on the components of the renewals, the joint distribution of their total durations is approximately exponential with all mass along one line. This result is applied to a 2-i.i.d. unit repairable system of the “1 out of 2:G, Cold Standby” type.     

Beyond balancing? Intrastate conflict and US grand strategy

Grand strategic theorists share an historical emphasis on interstate conflict, yet in contrast to the more frequent intrastate conflicts, these represent only 7 of the some 273 US military deployments since 1900. We argue that these intrastate conflicts limit the utility of regional balances of power in mitigating forms of conflict that the US may consider inimical to its national security interests. When considering potential changes to US force posture and grand strategy, American coercive statecraft should be theorised along a broader strategic continuum encompassing the full range of conflict.