eprintid: 718
rev_number: 8
eprint_status: archive
userid: 17
dir: disk0/00/00/07/18
datestamp: 2018-05-27 16:44:22
lastmod: 2018-05-27 16:44:22
status_changed: 2018-05-27 16:44:22
type: report
metadata_visibility: show
creators_name: Hazelwood, Vera
creators_name: Bandeira, Afonso
creators_name: Cavaleiro, Marta
creators_name: Davies, Russell
creators_name: Mondal, Anirban
creators_name: Morales, Sergio
creators_name: Piwarska, K.
creators_name: Please, C.P.
corp_creators: John E. Alarcon
corp_creators: Shane Latchman
title: Earthquake risk: Including Uncertainties in the Ground Motion Calculations
ispublished: pub
subjects: finance
studygroups: esgi73
companyname: AIR Worldwide Ltd
full_text_status: public
abstract: Earthquake risk models used by the insurance industry for estimating the damage caused by an event typically use the mean of the ground motion intensity to predict the damage to a particular building. On the other hand, the ground motion intensity can be modelled as a ran- dom variable. Literature related to ground-motion predictive equation derivation includes, as a rule, the estimate of the standard deviation associated with the distribution of the intensity. The Study Group was asked to find a way to include the uncertainty associated with the predic- tion of the ground motion intensity contained in the standard deviation into the damage calculation, in a way in which the computational effort is not increased significantly
The Study Group proposed a way forward based on Bayes’ theorem for the marginal distribution of damage and found an analytical expression for the damage distribution function. However, the expression is an in- tegral that needs to be evaluated numerically and the Gaussian-Hermite quadrature was proposed to carry out the calculations. The approach seems plausible to be included in the existing models and the additional computational load is estimated as to be marginal relating to the current computational demands.
date: 2010
citation:   Hazelwood, Vera and Bandeira, Afonso and Cavaleiro, Marta and Davies, Russell and Mondal, Anirban and Morales, Sergio and Piwarska, K. and Please, C.P.  (2010) Earthquake risk: Including Uncertainties in the Ground Motion Calculations.  [Study Group Report]     
document_url: http://miis.maths.ox.ac.uk/miis/718/1/ESGI73-Air_CaseStudy.pdf