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- W3122605597 abstract "In this work we derive an inversion formula for the Laplace transform of a density observed on a curve in the complex domain, which generalizes the well known Post-Widder formula. We establish convergence of our inversion method and derive the corresponding convergence rates for the case of a Laplace transform of a smooth density. As an application we consider the problem of statistical inference for variance-mean mixture models. We construct a nonparametric estimator for the mixing density based on the generalized Post-Widder formula, derive bounds for its root mean square error and give a brief numerical example." @default.
- W3122605597 created "2021-02-01" @default.
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- W3122605597 date "2015-11-01" @default.
- W3122605597 modified "2023-09-27" @default.
- W3122605597 title "Generalized Post-Widder inversion formula with application to statistics" @default.
- W3122605597 hasPublicationYear "2015" @default.
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