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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
264 Modeling and Inverse Problems in the Presence of Uncertainty
in 1957. For the derivation of (7.102), Dostupov and Pugachev firs t observed
that for a given realization z o f Z the system (7.100) is ba sically the crypto-
deterministic system (7 .88), and they then der ived Equation (7.102) through
instantaneous transformation of random vectors.
It is of interest to note that we can employ arguments similar to those in the
proof for Theore m 7 .3.1 to (7.100) to obtain Equation (7.102). This proof was
originally given in 1961 by Kozin [77] and is repeated here for completeness.
PROOF For any fixed t, the joint characteristic function of X(t)
x(t
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Publisher Resources

ISBN: 9781482206432