Random sets of probability measures in slope hydrology and stability analysis Export

@article{citeulike:2152820, abstract = {When the variables (x1, ... xn+q) of a function y = g(x1,..., xn+q) are described by a joint probability distribution over variables x1,..., xn and a random relation over variables xn+1, ..., xn+q, the dependent variable y is described by a random set of probability measures. Starting with a brief review of the theory of random sets, the formalism of a random set of probability measures is introduced. One approach to constructing a random set from a set of interval estimates from different sources is reviewed. The use of random sets of probability measures is demonstrated in the practical context of an integrated slope hydrology and stability model called CHASM. When the parameters defining the slope stability problem are described by a random set of probability measures the analysis using CHASM generates a lower and upper cumulative probability distribution on the slope Factor of Safety. It is demonstrated how point measurements can be used to update prior imprecise information on geotechnical parameters.}, address = {Department of Civil Engineering, University of Bristol, Queens Building, University Walk, Bristol BS8 1TR UK ; Instituto de Desarrollo Regional, University of Castilla-La Mancha, Campus Universitario, 02071 Albacete, Spain; School of Geographical Sciences, University of Bristol, University Road, Bristol BS8 1SS UK}, author = {Hall, J. W. and Rubio, E. and Anderson, M. G.}, citeulike-article-id = {2152820}, citeulike-linkout-0 = {http://dx.doi.org/10.1002/zamm.200410146}, citeulike-linkout-1 = {http://www3.interscience.wiley.com/cgi-bin/abstract/109675902/ABSTRACT}, doi = {10.1002/zamm.200410146}, journal = {ZAMM}, keywords = {chasm, slope-stability, uncertainty}, number = {10-11}, pages = {710--720}, posted-at = {2007-12-20 19:33:20}, priority = {5}, title = {Random sets of probability measures in slope hydrology and stability analysis}, url = {http://dx.doi.org/10.1002/zamm.200410146}, volume = {84}, year = {2004} }

TY - JOUR ID - citeulike:2152820 L3 - citeulike-article-id:2152820 N2 - When the variables (x1, ... xn+q) of a function y = g(x1,..., xn+q) are described by a joint probability distribution over variables x1,..., xn and a random relation over variables xn+1, ..., xn+q, the dependent variable y is described by a random set of probability measures. Starting with a brief review of the theory of random sets, the formalism of a random set of probability measures is introduced. One approach to constructing a random set from a set of interval estimates from different sources is reviewed. The use of random sets of probability measures is demonstrated in the practical context of an integrated slope hydrology and stability model called CHASM. When the parameters defining the slope stability problem are described by a random set of probability measures the analysis using CHASM generates a lower and upper cumulative probability distribution on the slope Factor of Safety. It is demonstrated how point measurements can be used to update prior imprecise information on geotechnical parameters. IS - 10-11 JF - ZAMM AD - Department of Civil Engineering, University of Bristol, Queens Building, University Walk, Bristol BS8 1TR UK ; Instituto de Desarrollo Regional, University of Castilla-La Mancha, Campus Universitario, 02071 Albacete, Spain; School of Geographical Sciences, University of Bristol, University Road, Bristol BS8 1SS UK EP - 720 TI - Random sets of probability measures in slope hydrology and stability analysis VL - 84 SP - 710 KW - chasm KW - slope-stability KW - uncertainty AU - Hall, JW AU - Rubio, E AU - Anderson, MG PY - 2004/// UR - http://dx.doi.org/10.1002/zamm.200410146 ER -