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Mathematical statistics --- Bayesian statistical decision theory. --- Error analysis (Mathematics) --- Sequential analysis --- Statistical decision --- Errors, Theory of --- Instrumental variables (Statistics) --- Numerical analysis --- Statistics --- Bayes' solution --- Bayesian analysis --- Sequential analysis. --- Error analysis (Mathematics). --- Bayesian statistical decision theory --- Statistique mathématique --- Statistique mathématique --- Mathematical statistics. --- Analyse des donnees --- Epidemiology --- Mathematical methods
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This book deals with the impact of uncertainty in input data on the outputs of mathematical models. Uncertain inputs as scalars, tensors, functions, or domain boundaries are considered. In practical terms, material parameters or constitutive laws, for instance, are uncertain, and quantities as local temperature, local mechanical stress, or local displacement are monitored. The goal of the worst scenario method is to extremize the quantity over the set of uncertain input data.A general mathematical scheme of the worst scenario method, including approximation by finite element methods, i
Error analysis (Mathematics) --- Mathematical models --- Uncertainty (Information theory) --- Measure of uncertainty (Information theory) --- Shannon's measure of uncertainty --- System uncertainty --- Information measurement --- Probabilities --- Questions and answers --- Models, Mathematical --- Simulation methods --- Errors, Theory of --- Instrumental variables (Statistics) --- Mathematical statistics --- Numerical analysis --- Statistics --- Mathematical models.
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