A New Stochastic Order of Multivariate Distributions: Application in the Study of Reliability of Bridges Affected by Earthquakes

In this article, we introduce and study a new stochastic order of multivariate distributions, namely, the conditional likelihood ratio order. The proposed other orders are analyzed in case bivariate exponential distributions family. theoretical results obtained applied for studying reliability bridges affected by earthquakes. involves ordering; it resembles univariate but is much easier to verify than case. Additionally, implies ordering. However, does not imply weak hard rate order, an relation on set. together with hazard were studied Marshall–Olkin family, which has lack memory type property. At end paper, also presented application orderings family effects earthquakes bridges.