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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
78 Modeling and In verse Problems in the Presence of Uncertainty
arguments. However, we are only interested in behavior as N . If we as-
sume only that the
e
E
j
are independent and identically distributed with constant
variance (as is commonly the case), the Central Limit Theorem (i.e., Theo-
rem 2.6.2) applies and the distribution (whether chi-squared or not) will ten d
toward the normal. Even in the more general case of non-cons tant variance,
a simple change of variables can be used to reduce to the constant variance
case. Hence we really only need the variance terms to be bounded above.
Next, consider only a single element , θ
N
l
, of the estimator. ...
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Publisher Resources

ISBN: 9781482206432