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Regularized Inversion of Noisy Laplace Transforms

✍ Scribed by D.E. Chauveau; A.C.M. Vanrooij; F.H. Ruymgaart

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
469 KB
Volume
15
Category
Article
ISSN
0196-8858

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✦ Synopsis

In this paper we construct a sequence of regularized inverses of the Laplace transform by relating this transform to a convolution operator for functions on the group of the positive real numbers with multiplication. Estimation of the mixing distribution, when a mixture of exponential distributions is observed, is an example. Inversion of perturbed Laplace transforms also plays a role in system theory. 1994 Academic Press, Inc.

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