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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
Estimation of Probability Measures Using Aggregate Population Data 177
as the choice of the nodes {θ
k
}
M
k=1
is an open research problem. We remark
that values of M under 50 have bee n s tudied computationally in [4, 11].
It is clear from the statement of Theorems 5.4.4 and 5.4.5 that the unique-
ness of the minimizer
ˆ
P
N
is not guaranteed (as there could be multiple
conve rgent subsequences). In particular, in the implementation of the ap-
proximations on P
M
(Ω
θ
), for a fixed set of node s {θ
k
}
M
k=1
, it is possible to
establish first-order neces sary conditions for the uniqueness of the computa-
tional problem [4, p. 102]. But these should not be confused with conditions
for global uniqueness of a minimizing measure P
0
. Unlike the non-parametric
maximum
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Publisher Resources

ISBN: 9781482206432