Regularized inversion of noisy Laplace transforms
type: Item
instance of: scholarly article
title: Regularized inversion of noisy Laplace transforms
zbMATH Open document ID: 0806.65136
author: D. E. Chauveau
author: Frits Ruymgaart
author: A. C. M. van Rooij
published in: Advances in Applied Mathematics
publication date: 1994-08-10T00:00:00Z
review text: The authors 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. Noisy Laplace transforms arise in a wide variety of practical problems, for example in system theory and statistics. The paper contains an example from statistics-estimation of the mixing distribution, when a mixture of exponential distributions is observed.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 617365
zbMATH Keywords: regularized inversion
zbMATH Keywords: rates of convergence
zbMATH Keywords: regularization method
zbMATH Keywords: noisy Laplace transforms
zbMATH Keywords: mixture of exponential distributions
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
full work available at URL: aama.1994.1007
OpenAlex ID: W2051817521
DOI: 10.1006/AAMA.1994.1007
description: scientific article; zbMATH DE number 617365