## Communications in Applied Mathematics and Computational Science

### Approximation of probabilistic Laplace transforms and their inverses

Guillaume Coqueret

#### Abstract

We present a method to approximate the law of positive random variables defined by their Laplace transforms. It is based on the study of the error in the Laplace domain and allows for many behaviors of the law, both at $0$ and infinity. In most cases, both the Kantorovich/Wasserstein error and the Kolmogorov–Smirnov error can be accurately computed. Two detailed examples illustrate our results.

#### Article information

Source
Commun. Appl. Math. Comput. Sci., Volume 7, Number 2 (2012), 231-246.

Dates
Revised: 27 July 2012
Accepted: 16 August 2012
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.camcos/1513732057

Digital Object Identifier
doi:10.2140/camcos.2012.7.231

Mathematical Reviews number (MathSciNet)
MR3020215

Zentralblatt MATH identifier
1259.65206

Subjects
Primary: 65R32: Inverse problems
Secondary: 65C50: Other computational problems in probability

#### Citation

Coqueret, Guillaume. Approximation of probabilistic Laplace transforms and their inverses. Commun. Appl. Math. Comput. Sci. 7 (2012), no. 2, 231--246. doi:10.2140/camcos.2012.7.231. https://projecteuclid.org/euclid.camcos/1513732057

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