Regularized inversion of noisy Laplace transforms
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.
scientific article; zbMATH DE number 617365