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Modeling and Inverse Problems in the Presence of Uncertainty
book

Modeling and Inverse Problems in the Presence of Uncertainty

by H. T. Banks, Shuhua Hu, W. Clayton Thompson
April 2014
Intermediate to advanced content levelIntermediate to advanced
405 pages
13h
English
Chapman and Hall/CRC
Content preview from Modeling and Inverse Problems in the Presence of Uncertainty
Chapter 1
Introduction
The terms uncertai nty quantification and u ncertainty propagation have
become so widely used as to almost have little meaning unless they are further
explained. Here we focus primarily on two basic types of problems:
1. Modeling and inverse problems where one assumes that a precis e math-
ematical model without modeling error is available. This is a standard
assumption underlying a large segment of what is taught in many mod-
ern statistics courses w ith a frequentist philosophy. More precisely, a
mathematical model is given by a dynamical s ystem
dx
dt
(t) = g(t, x(t), q) (1.1)
x(t
0
) = x
0
(1.2)
with o bservation process
f (t; θ) =
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Publisher Resources

ISBN: 9781482206432