Unification of different approaches to probabilistic seismic hazard analysis

Jorge L. Alamilla, José A. Rodriguez, Rossana Vai

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Cornell’s, Esteva’s, and classical formulations for seismic hazard analysis are theoretically described and mathematically unified by a suitable treatment of the random groundmotion variable. Differences and connections among the schemes are discussed, allowing for a better understanding of the underpinning principles of probabilistic seismic hazard analysis. The classical formulation is equivalent to that by Esteva, and they correspond to a general scheme. Although they are mathematically equivalent, the two formulations each has its own particular approach to express the hazard rate, so results may differ. Cornell’s original scheme is a particular case of classical and Esteva’s formulation. It is also shown that intensity exceedance rates for any index of structural performance or at a particular site can be recursively transformed into exceedance rates of other intensity indexes. Formulations are invariant under such a transformation.

Original languageEnglish
Pages (from-to)2816-2827
Number of pages12
JournalBulletin of the Seismological Society of America
Issue number6
StatePublished - Dec 2020


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